{"text":"Question: Solve 13 = 3*z + 4*u, 186828 = -z + 6*z - 16*u + 186829 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 less than -0.8918836?\nAnswer: -1.2918836","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = 2*a + 3. Give j(3).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63 = -13*t + 20*t for t.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -327 divided by 4\nAnswer: -327\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = -l**3 + 3*l**2 + 8*l. Let o(j) be the first derivative of 3*j**4\/4 - 7*j**3\/3 - 17*j**2\/2 - 72. What is 7*f(w) + 3*o(w)?\nAnswer: 2*w**3 + 5*w","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 35380511093 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -704 - -464. Let q = 262 + k. What is the highest common divisor of q and 176?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-9)\/(-30))\/(903\/(-1505))*196\/2?\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = -l**2 - 2*l. Suppose 25*b = 11*b - 14. Let z be s(b). Do z and 2 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 41\/5 and -4\/55301.\nAnswer: 276505","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a = -4*t + 94128, 27*a = 3*t + 33*a - 70596. List the prime factors of t.\nAnswer: 2, 3, 37, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = -3*q + 135, 197 = 2*q + 2*q - 3*d. Does 6 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 0, 0.03, 9 in decreasing order.\nAnswer: 9, 5, 0.03, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2 + -6)*(-5)\/(-50)*-25?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -131\/80 - -7\/16. Let u = -3 - -2. Is u greater than or equal to k?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(sqrt(57)\/sqrt(3) + 0) - (-1 + sqrt(475))*3) + (-4*(sqrt(209) - -2*sqrt(209)) + sqrt(209))\/(sqrt(176)*3).\nAnswer: -167*sqrt(19)\/12 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62132 is divided by 1384.\nAnswer: 1236","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 542 + 130133350?\nAnswer: 130134332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(-35))\/((-1782)\/(-2079))?\nAnswer: -4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 22 and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 365 a factor of 41557805?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 27 + -30. Let x = f + 7. Let n be 18\/x + (-11)\/(-22). Solve -n*i - 3*q - 2*q - 35 = 0, 3*q + 9 = 3*i for i.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 30148?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 4271 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/8 of a tonne in kilograms?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from daymqymd. What is prob of sequence ya?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (810\/(-25))\/(-9) - 4\/(-10). Suppose 0 = l + 4, -5*l + 22 = -3*k + j*k. What is the lowest common multiple of 20 and k?\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = -5 + 2 - c**3 + 0*c**3 + 7*c**2. Let p(j) = -2*j**2 - 15*j + 34. Let l be p(-9). Calculate k(l).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 d, 1 y, and 1 e when four letters picked without replacement from deeaeyedeeeqeeeyeea?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -11\/30 and (-147)\/11214*(-26)\/(-14)*21.\nAnswer: 2670","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**16*a)**10\/((a*a**(-28))\/((a*a*a*a\/(a**(-5\/6)\/a*a)*a)\/a)) assuming a is positive.\nAnswer: a**(1211\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((y\/(y\/(y*((y\/(y**(-10)*y))\/y)\/y*y)))\/((y\/(y**(-6)\/y)*y)\/y))\/(y**(-8)\/(y*y**(2\/3)\/y)) assuming y is positive.\nAnswer: y**(32\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - (3 + -10 - -5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1031068\/5 - -207151. Let n = t + -931. Let -2\/5*w**4 + 16\/5*w**3 + 16\/5*w**2 - 32\/5*w - 2\/5*w**5 - n = 0. Calculate w.\nAnswer: -2, -1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -33211 (base 4) to base 2\nAnswer: -1111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x + 661 = p + 6*x, -4*p - x + 2587 = 0. Let n be p\/10 - 2\/(-5). Let d be (-2)\/6 - n\/(-15). Solve 0 = 4*w - 0 + d for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.2 in 11\/6, 1\/2, 0, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/(o**(-1\/2)*o))**(-18\/11)*((o*o\/o**(-2\/7)*o)\/o)\/o**(3\/5))**13 assuming o is positive.\nAnswer: o**(4342\/385)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = 3704*c**2 - 2481*c + 2480. Determine y(1).\nAnswer: 3703","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*z + g + 3*g - 12 = 0, 4*g = -4*z + 28. Let c(b) = 3 + 7*b + 2 + 0 + b**z. Suppose -3*q - 20 = -5. Calculate c(q).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 0.3  (b) -0.3  (c) -1\/7  (d) 2.17  (e) -133\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 173*d**4 + 5*d**2 + 34913.\nAnswer: 692*d**3 + 10*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 - 2 = 3*k. Suppose -k = 2*n + n. Is n*(-25 + (-2)\/(-1)) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l**(2\/7)*l\/l**(-1)*l**3*l*l*l**(-1) assuming l is positive.\nAnswer: l**(44\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(288)*1 + -2 + sqrt(288))**2 - ((sqrt(288) + sqrt(288) + 0 - sqrt(288)) + 2)**2.\nAnswer: -144*sqrt(2) + 864","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 83216, 81721, 80226, 78731, 77236?\n\"Answer: -1495*j + 84711","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -1697393, -1\/6.\nAnswer: -1697393, -1\/6, 5","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1103282.\nAnswer: 2, 131, 4211","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (24\/60)\/((-20)\/375*12).\nAnswer: -5\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) be the second derivative of z**6\/1620 + z**5\/135 - 7*z**4\/36 + 25*z**3\/6 + 2*z**2 - 18*z + 1. Let j(m) be the second derivative of n(m). Factor j(o).\nAnswer: 2*(o - 3)*(o + 7)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 150960 a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 = a, -11528 - 15158 = -4*d + 3*a. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: 5 divided by -27\nAnswer: -5\/27","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5113\/5 or -187?\nAnswer: -187","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0.35409 - 0.356. What is u rounded to 4 dps?\nAnswer: -0.0019","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d + 2*d = 0. Suppose d = -0*u - 2*u + 16. Calculate the greatest common factor of 16 and u.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 15 + (1*3 - (-3 - -3)). Factor 3*r**3 + 2*r**4 - 5*r**4 - x*r**3 + 21*r**2 + 15*r - 6 - 12.\nAnswer: -3*(r - 1)**2*(r + 1)*(r + 6)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = -i**3 + 8*i**2 - 8. Let y be u(8). Let l be (-7)\/(-4) - 2\/y. Suppose l*f + 9 = 3*h, 0 = h - f - 3 + 1. What is the units digit of h?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 24813 + -17700. Is b a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 1 - -9bbb8c0?\nAnswer: 9bbb8c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 2752257499 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 44\/(-77)*119\/(-306)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/25 in 2\/25, 2\/31, 6, 2, 4?\nAnswer: 2\/25","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -n**2 - 12*n + 3. Let z be k(-12). Let a(d) = -9*d. Let p(y) = 8*y. Calculate z*a(o) + 2*p(o).\nAnswer: -11*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (3 + 342\/(-24))\/((308\/(-16))\/(-7) + -3)\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) be the first derivative of -23*t**3 + 34*t**2 - 28*t**2 + 13*t**2 + 19*t**2 + 19. Find the second derivative of q(r) wrt r.\nAnswer: -138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -0.2, -0.3, 3, -1\/13, 127, 13, 0.03?\nAnswer: -1\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**(-10)\/(((i\/((i\/(((i*i\/((i**(-2)\/i*i*i)\/i))\/i)\/i)*i)\/i))\/i)\/i))**(-49) assuming i is positive.\nAnswer: i**490","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1.2 + -0.2. Let u = 47366 - 47370.6. What is the second biggest value in u, s, -3\/5?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**(-7))\/(w*w**(2\/9)*w)*(w*w\/((w**(2\/7)\/w)\/w))**(1\/25) assuming w is positive.\nAnswer: w**(-12716\/1575)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 751, 3, 1, -1 in increasing order.\nAnswer: -1, 1, 3, 751","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o - 644 = 694. Let d = o - 139. Is d prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 10\/25 - 488\/(-5). Let g be t\/3*6\/4. Let j = g + -29. Is 20 a factor of j?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 291 - 6401\/22. Let z = -4 - -4. Is f smaller than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3826481?\nAnswer: 3826481","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 5*k - 59305 = 0, 0*d + d - 5*k + 11869 = 0. Let b = d + 213361\/18. Calculate the common denominator of -107\/36 and b.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -85\/63 and -109\/28.\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = i**3 + 50*i**2 - 7226*i - 404931. Determine y(-73).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 872 and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 823766 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -1376, -2841, -4454, -6293, -8436?\nAnswer: -10961","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express -4*w**2 + 9 + 10*w**2 - 2*w - 9 as i + a*w + x*w**2 and give x.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = g**3 - 17*g**2 + 15*g + 19. Let v be o(16). Suppose 5*r - 4*p = -v*p + 277, 5*p - 295 = -5*r. List the prime factors of r.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a litre in millilitres?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(sqrt(99) + 0))**2 + (-5 + sqrt(99)*2 + sqrt(99))**2.\nAnswer: -90*sqrt(11) + 1807","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor -23*a**2 + 69668*a + 17*a**2 - 10 - 69700*a.\nAnswer: -2*(a + 5)*(3*a + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -4*d + 21. Let h be y(6). Let w be h + (-4 + 9)*1. Solve -2*a = -2*o + 6, -24 = -3*o - o - w*a for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -7013424.38 to the nearest one hundred thousand.\nAnswer: -7000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence asa when three letters picked without replacement from {s: 1, a: 2, f: 1, e: 2}?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-700)\/2520)\/((-3)\/(-9))?\nAnswer: -5\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(f) = 2*f**2. Suppose -6*l + 2*r = -3*l + 7, -5*l = 3*r - 20. Let y be 5 + l + (-10)\/10. Let v(n) = -n - y*n + n - 2*n. Calculate v(i(o)).\nAnswer: -14*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -14 and 241.\nAnswer: -3374","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -b + 2*b**3 + b + 4*b**3 + 10*b**3 + b**3 + (1 - 1 - 5*b)*(b**2 + b**2 - 4*b**2) to the form x*b + i*b**2 + c + z*b**3 and give z.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: (-10 + 3 - -21) + (98 - 87)\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4504995 and 332905?\nAnswer: 2395","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -44711 or -44690?\nAnswer: -44690","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 973525, 973524, 973523, 973522?\n\"Answer: -p + 973526","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -27 + 84. Suppose 3*r - 362 + 134 = -3*y, -3*r - 9 = 0. Suppose y = 2*j + 4*i + 15, j - 3*i - 47 = 0. What is the highest common divisor of k and j?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2  (b) -2\/17  (c) 29.6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (15\/(-6))\/(2\/4)\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**(-6)\/(d*d*d\/d**(-1\/12)))**(1\/45) assuming d is positive.\nAnswer: d**(-109\/540)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -122*i = -56*i - 58*i + 48. What is the closest to -2 in 5, -0.4, 0.04, i?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2090595907 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) be the third derivative of r**8\/2240 - r**7\/210 - r**4\/3 + 3*r**2. Let o(d) be the second derivative of k(d). Solve o(h) = 0 for h.\nAnswer: 0, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*z = -3*q - 7, 11*z - 7*z = -2*q - 4. Let j = 0.08 - -3.92. Let f = -4.1 + j. Which is the biggest value?  (a) q  (b) f  (c) -1  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = 13*r + 11. Let k be a(-5). Let u = k - -113. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z and 1 g when two letters picked without replacement from zjgzzjuuzuzc?\nAnswer: 5\/66","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = k**2 + k - 2. Let t be r(-2). Sort t, 6, -5 in decreasing order.\nAnswer: 6, t, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -43 - 109. What is the lowest common multiple of 20 and (a\/(-57))\/((-4)\/(-6))?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -16766.9 - -16767. Let x = 284\/7 - 40. Let y = -4.5 + 5. Which is the second smallest value?  (a) v  (b) y  (c) x  (d) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) = -2*s. Let m(r) = 6647630*r. Determine d(m(z)).\nAnswer: -13295260*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-4 + (sqrt(1573)*1 - sqrt(1573) - sqrt(1573))**2 - sqrt(1573)*-1*2) + (-5*2*sqrt(1573))**2 + 2)*-3*6.\nAnswer: -2859678 - 396*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Are 18 and 46 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1141537 - -0.1.\nAnswer: -1141536.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -16*s + 3*s**4 + 11 + s**4 - 11 wrt s.\nAnswer: 48*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:32 AM and 12:34 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2087 + 790. Let c = -1297.002356 - k. Round c to four dps.\nAnswer: -0.0024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -p**2 + 3*p**2 + 0*p**2 + (-31 - 1 + 6)*(2*p**2 + 4 - 4) as x + b*p + o*p**2 and give o.\nAnswer: -50","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b - 5*o = -60, -4 = -2*o + o. Let w = b + 8. Let x(g) = -g**3 - 2*g**2 - g + 22. Calculate the smallest common multiple of 2 and x(w).\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2729132867 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 97056 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 33 in -2\/11, -456, 0.04?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -4*j + 49 - 14 + 3*j + 21. Suppose 0*b + 0*b = -4*b. What are the prime factors of z(b)?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4611274.03966 + 0.43.\nAnswer: 4611274.46966","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 2064283 (base 10) to base 8.\nAnswer: 7677633","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 809 or 806?\nAnswer: 806","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 30009220, 30009215, 30009210, 30009205?\nAnswer: 30009200","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 243 minutes before 12:20 PM?\nAnswer: 8:17 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -114588038 - 4?\nAnswer: -114588043","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 26842166 to the power of 1\/7, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-136*u - 9 + 171*u - 39*u)*(3*u**2 - 3*u**2 - 9*u**4).\nAnswer: 36*u**5 + 81*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 7973, 7939, 7893, 7829, 7741, 7623, 7469, 7273?\n\"Answer: -i**3 - 27*i + 8001","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u - 18 = -6. Suppose 1265 = 5*n - 0*n - u*j, -j = -3*n + 763. What is the highest common factor of n and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the second derivative of 0 - 1\/48*m**4 + 2*m + 1\/24*m**3 + 0*m**2. Factor q(c).\nAnswer: -c*(c - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 21468264 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 17, x: 1}. Give prob of sequence ddxd.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g + s = -0*s - 2, -2*g - 4*s = -10. Let w(l) = 0*l**3 - 2 + 8*l**2 - l**2 + l**g + 10*l - 5*l. Give w(-6).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -n**3 + 7*n**2 - n + 10. Let f be w(8). Let c = -64 - f. Let z be c\/(-7) - (264\/42 - 1). Put 3, z, -7, 5 in decreasing order.\nAnswer: 5, 3, z, -7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 20 - 6 = 0. Let h(r) = 19*r - 12. Let c be h(j). Let a = 342 - c. What is the hundreds digit of a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/2?  (a) 0.5  (b) 2  (c) 97  (d) -187  (e) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify q\/((q*q**(1\/3)*q)\/q)*q\/(q*(q\/q**0)\/q)*q*q*(q*((q*q**(-3)*q)\/q*q)\/q)\/q*q**(3\/5) assuming q is positive.\nAnswer: q**(4\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*p**3 - 688*p**2 + 23108*p + 49000.\nAnswer: 4*(p - 125)*(p - 49)*(p + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -47 - -38.8. Let d = j - -8.1748. What is d rounded to 2 decimal places?\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1785736 is divided by 1295.\nAnswer: 1226","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*u - 376 = 15*u for u.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/(-3) - (-2)\/3. Let p = -1341278\/505 + 2656. Let y = 1016\/1515 - p. What is the nearest to y in q, -4, -0.2?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 6 - (5 - (-18)\/30). Suppose 0 + 2\/5*h**3 + 0*h + j*h**2 = 0. What is h?\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 657?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 3*k + 8. Let b(j) = j + 1. What is 5*b(u) - m(u)?\nAnswer: 2*u - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = a - 3. Suppose -b - o = 0, -4*b - b - o + 20 = 0. Let l be v(b). What is the first derivative of -1 + 55*h**2 - 10*h**3 - 55*h**l - 2 wrt h?\nAnswer: -30*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 18*b**6*m - 40*b**4*m**2 - 281*b**2*m - 3*b*m**2 wrt b.\nAnswer: 2160*b**3*m - 960*b*m**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -19 - -21. What is the second derivative of 6*k - k**5 + 3*k**5 + o*k wrt k?\nAnswer: 40*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 9, -11, -4, -1 in descending order.\nAnswer: 9, -1, -4, -11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*b - 294517 - 286565 = 0. Is b a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 3, j: 11}. What is prob of picking 1 j and 3 d?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 56588, 56622, 56654, 56684, 56712?\n\"Answer: -p**2 + 37*p + 56552","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = v - 2*v + 10, -t - 10 = 3*v. Suppose 2*h + t - 25 = 0. What is the remainder when 179 is divided by (-40)\/7*(-35)\/h?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 29*p + 126 = 8*p for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 293 or 6148\/21?\nAnswer: 293","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 189, 448, 707, 966?\n\"Answer: 259*b - 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1 - (-1 + (-1 - -5))\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.4 times 0.747876?\nAnswer: -0.2991504","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 17  (b) -2  (c) 3971\/29\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many centuries are there in thirteen fifths of a millennium?\nAnswer: 26","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4\/361 - -4384\/4693. Let h(p) = p + 7. Let y be h(-5). Suppose -2\/13*s**y - 18\/13 - f*s = 0. What is s?\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 440949516 is divided by 75?\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + ((sqrt(162)\/sqrt(144))\/((sqrt(72) + (sqrt(72) - sqrt(72)*1))\/sqrt(8)) - (sqrt(72) - ((sqrt(72) + -1 + sqrt(72) - sqrt(72))**2 + 4))*5).\nAnswer: -359*sqrt(2)\/4 + 387","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is 91859166 to the power of 1\/2, to the nearest integer?\nAnswer: 9584","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 12181361, 12181359, 12181357?\n\"Answer: -2*n + 12181363","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*u - 302 - 34 = 0 for u.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = -3*h + h**2 + 6 + h**2 - 1 + 2*h**2 + h**3. Give i(-5).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*g = -2*d - 4, 2*d + 0 = g - 9. Let j be 150\/(g\/640*6). Round j to the nearest 10000.\nAnswer: 20000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*s = 29*s + 33*s + 1656 for s.\nAnswer: -24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -4*i + 1. Let w = 4 - 2. Suppose 31 = k - 5*x + 1, -20 = k + 5*x. Sort i, w, k in descending order.\nAnswer: k, w, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 5\/637?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -5916346*c - 3113310 wrt c.\nAnswer: -5916346","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 2641, 10562, 23779, 42298, 66125?\nAnswer: 95266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 381 a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 - (4 - 4)) + 8. Solve -3*a - 1 + y = 0 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 823663908 a multiple of 141?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 7 and 4542.1.\nAnswer: 31794.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = -37*h - 15. Give q(-2).\nAnswer: 59","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -10840a6 - -58?\nAnswer: -108404a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3270746 to the nearest integer?\nAnswer: 1809","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -189 + 198. Calculate the remainder when 47 is divided by l.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in three sixteenths of a century?\nAnswer: 225","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 263\/(-5) - ((-6)\/(-84))\/((-285)\/(-1596))?\nAnswer: -53","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/4*-1 - 1?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1761536871 to the nearest integer?\nAnswer: 1208","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 3 = 0, 8 = 316*t - 321*t - 2*k for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 4554, 36798, 124602, 295836, 578370, 1000074?\n\"Answer: 4645*t**3 - 90*t**2 - t","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put together -1 and 0.051405.\nAnswer: -0.948595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -3*i + 2. Let f be l(1). Which is the second biggest value?  (a) -5  (b) -3  (c) f\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 276, 239, 190, 123, 32, -89?\n\"Answer: -l**3 - 30*l + 307","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 410 - 4?\nAnswer: 407","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 131322341 - 5?\nAnswer: 131322332","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 10, j: 4, g: 5}. What is prob of picking 1 n and 1 j?\nAnswer: 40\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 183 in 0.1, 2\/41, -0.1, 5, -2\/13?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1?  (a) -1\/2  (b) -31  (c) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 13) in base 16?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3625275 to the power of 1\/5, to the nearest integer?\nAnswer: 21","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 47 - 51.2. Let c = a + 1.2. What is the nearest to -1 in 4, -2\/11, c?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -v**4 + 16*v**3 + 464*v**2 - 13219*v?\nAnswer: -12*v**2 + 96*v + 928","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = o**2 - o - 13. Let h(b) = -b**2 + 19. Calculate -5*h(k) - 7*n(k).\nAnswer: -2*k**2 + 7*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/6*0 - 5*2?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 980 and 47?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 4 = 12. Let g(n) = 25*n**3 + 6*n**2 - 3*n + 9. Is g(t) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3881767460 to the power of 1\/2, to the nearest integer?\nAnswer: 62304","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:12 AM and 1:13 PM?\nAnswer: 661","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(q) = 17*q**2 + 3*q - 4. Let j be g(5). Suppose 5*u - j = v - 1082, -2*v = -4*u - 1274. Is v prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five quarters of a litre in millilitres?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0035232 rounded to 5 decimal places?\nAnswer: 0.00352","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -430 by -43.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (20\/(-56))\/((-2)\/7).\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -5*v**2 - 5*v. Let g(k) = 3*k**2 + 2*k. Let q(c) = -7*g(c) - 3*i(c). Determine q(-1).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 191, -222, -4, 10, 4, 5 in ascending order.\nAnswer: -222, -4, 4, 5, 10, 191","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = -4*i. Let w(k) = -41737*k - 6. Calculate w(x(p)).\nAnswer: 166948*p - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q - 4*q = 0. Let i = 18 - 5. Let b(x) = -86*x + 1724. Let f be b(20). Solve -3*d - f*h - 32 = -q*d, 2*d = -h - i for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -494443, -494515, -494587, -494659, -494731, -494803?\nAnswer: -494875","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 2 - (-357)\/(-168) - 31\/8. Let c(x) = -x - 3. Let f be c(-4). Let r be (1 + u + f)*10\/(-5). What is the nearest to 0 in r, 1, -2?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify -3 + (sqrt(121) + (sqrt(121) + sqrt(121)*-1)*-5)\/(sqrt(176) + sqrt(176) + -1*sqrt(176)) + (sqrt(1584)*4)\/(1*3*sqrt(4)).\nAnswer: -3 + 33*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6 - -5. Let n = 3 + m. Let g(d) = -d**3 + 2*d**2 - 3*d + 2. What is g(n)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 189976?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = -8183*d. Let m(j) = -j. Give m(y(w)).\nAnswer: 8183*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -50 + 599\/12. Let l = 7\/12 - g. Which is greater: l or -4\/19?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 33*q**2 + 36*q**2 - 110*q**2 + 42*q**2.\nAnswer: q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence uul when three letters picked without replacement from llulbllllluluublluu?\nAnswer: 55\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*j + 9 - 9 - 8*j - 34 + 34.\nAnswer: -10*j","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = 18 + 10 + 9 - 32 + 9*t. Suppose 0 = c + 5 - 1. Determine g(c).\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + -3 + -5 + 3?\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 135*h - 2577 + 602 = 320 for h.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**4\/7 + 24*d**2\/7 + 32*d\/7.\nAnswer: -2*d*(d - 4)*(d + 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -o**4 - o**2 + 2*o - 1. Let k(a) = 101*a**4 - 2*a**2 + 4*a - 144. Let g(f) = -2*k(f) + 4*t(f). Differentiate g(s) with respect to s.\nAnswer: -824*s**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -14 + 9.5. Let y = 13 + -12. Let z = y + a. What is z rounded to 0 dps?\nAnswer: -4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 6 + -11. Let m(o) = o + 4. Let y be m(0). Let r(p) = 3*p + 0*p - y + 2*p**3 - 3*p**3 - 4*p**2. Calculate r(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 - 11 - (-1 + -12)\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4 divided by -46.\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 51 minutes before 12:11 PM?\nAnswer: 11:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 144 and 3488256?\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*j - n + 5, -6 + 1 = 2*j - n. Let t be 10 - (3 + 0) - (-10)\/(-2). Solve 0 = c + 4*p + 12, p = t*c - 3 - j for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = -t**2 + 12*t - 8. Let i be f(11). Suppose -8 = x + 3*x. Put -5, x, i in decreasing order.\nAnswer: i, x, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 times -568627?\nAnswer: -1137254","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = -x**3 + 434*x**2 - 3408*x + 12. Determine v(426).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkvvvmzvkmzvvmmvmvm. What is prob of sequence mvzz?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((d**(-8\/3)\/d**4)**1)**(-46))**13 assuming d is positive.\nAnswer: d**(11960\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(1216) - (-3 + (sqrt(1216) + -1 - sqrt(1216))**2).\nAnswer: 2 + 8*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(f) = -8*f + 333. Let i be v(41). Solve n = 2*b - 1 - 3, i*n - 2 = -b for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*c + 31*c - 175. Let d(y) = -4*y + 1. Calculate the remainder when 4*c\/((-42)\/(-153)) is divided by d(-5).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -357830*o + 55889 wrt o?\nAnswer: -357830","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = 15*d. Let p(x) be the third derivative of -x**6\/90 + 8*x**3\/3 - x**2 - 4. Let t(u) be the first derivative of p(u). Calculate c(t(v)).\nAnswer: -60*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -1377 - 95?\nAnswer: -1472","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 492195 and 56991.\nAnswer: 5414145","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 7\/74  (c) -3\/148267\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1936.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -37\/88686 and 113\/36348.\nAnswer: 41327676","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4 + (-208)\/(-56))*7\/(-15).\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q = 2*t - 505, -4*q + 7*q + 768 = 3*t. What is the highest common factor of t and 45?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 33739550 to the nearest integer?\nAnswer: 32","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -3989 (base 10) in base 15?\nAnswer: -12ae","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12, -77, -186, -339, -536, -777?\nAnswer: -1062","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(1\/7))**(-4\/3)\/(y**22*y\/(y*y\/y**6)) assuming y is positive.\nAnswer: y**(-571\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 21*i - 459 + 2832. Let r = -11 + 8. Let p = r - i. Is p a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 390643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.2 != -3.9363?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.87114 and -0.04.\nAnswer: 0.0348456","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.5?  (a) -1\/4  (b) -4  (c) -5  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = 4*q**2 + 2*q + 3. Calculate c(-6).\nAnswer: 135","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 412, 1534, 2656, 3778, 4900?\nAnswer: 6022","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/10 of a litre?\nAnswer: 1100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 8*r - 8. Suppose g + 3*g = -5*b + 50, -2*g - 8 = -3*b. Let s(f) be the second derivative of -f**3\/6 + f**2\/2 - 18*f. Calculate b*s(x) + y(x).\nAnswer: 2*x - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1\/6  (b) 0.4  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 = -5*w - 5*g + 31, 4*g = -3*w + 13 for w.\nAnswer: 11","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -350581 - 75*t + 175289 + 175320.\nAnswer: -75*t + 28","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 142a85 (base 13) to base 2\nAnswer: 1111000000011010010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(m) = 5*m + 1. Let d(t) = 5*t + 1. Let r(g) = -4*d(g) + 5*n(g). Let y be ((-2)\/3)\/((-2)\/3). Let v(z) = z. Give y*r(q) - 6*v(q).\nAnswer: -q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence tgtg when four letters picked without replacement from rggragrtgrrrrtrg?\nAnswer: 1\/1092","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in f - 2648 + 4*f + 2648.\nAnswer: 5*f","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 31*o = -57*o + 1378 + 498 - 204 for o.\nAnswer: 19","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 120750 and 86940?\nAnswer: 2173500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4098 and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = 5*p**2 - 15*p + 18*p - 4*p**2 + 4. Let c(z) = -2*z**2 - 7*z - 9. Let i be 1 + (0 + 3)*-1. Calculate i*c(q) - 5*m(q).\nAnswer: -q**2 - q - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8 - -14. Let l be (60\/(-55))\/(4\/(-22)). Find the third derivative of -24*q**5 - l*q**2 - 5*q**d + 24*q**5 + 15*q**6 wrt q.\nAnswer: 1200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4.1 - -4.068. Let h = 0.268 - z. Suppose 0 = -2*u - 3*u - 5*b - 10, 2*u - 2*b + 8 = 0. What is the closest to -5 in h, u, 2\/9?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 0.3504863m?\nAnswer: 350486300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -238 divided by -14?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1 + (-2)\/(-6))*(-36)\/8.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*o + 14 = 2. What is the third biggest value in -10, o, 0.5?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(-10)*-8)\/(488\/(-20))?\nAnswer: 2\/61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*i + 552 = -0*i - 43*i for i.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 266 minutes after 4:21 AM?\nAnswer: 8:47 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -185 + 190. Let m = 0.06 + -0.36. What is the closest to 0 in m, u, 1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -57*t + 5 = -56*t. Solve -7 = t*u - 12 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4 - 110*j**2 + 9707*j - 9707*j + 17*j**2 in the form v*j**2 + k*j + q and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-13 - 4 + 0)*(1113 - 2*h**3 - 466 - 473 + 0*h**3).\nAnswer: 34*h**3 - 2958","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*j - 12 = -8*j for j.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = -170*x - 110. Let n(f) = 34*f + 23. Give -14*n(m) - 3*t(m).\nAnswer: 34*m + 8","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the second derivative of 15\/2*j**4 + 9*j + 540*j**2 + 1\/4*j**5 + 90*j**3 + 0. What is a in g(a) = 0?\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -181 + 182 - (1 - -9)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1*(2*sqrt(154) - sqrt(154)))\/(sqrt(28)\/sqrt(4)*5))\/(sqrt(1152) - -2*sqrt(1152)*3).\nAnswer: -sqrt(11)\/840","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 114\/228*(-120)\/(-35).\nAnswer: 12\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -109 - -113. Suppose 4 = -k*q + 20. Solve -q*m + 2*f - 13 = -9*m, 2*f - 10 = -4*m for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03877 rounded to two decimal places?\nAnswer: 0.04","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -21 (base 14) to base 10\nAnswer: -29","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.742 * 3.\nAnswer: -2.226","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -11d683 (base 14) in base 11?\nAnswer: -389788","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -5 - -5. Suppose -p + 1 = b, -b + 2*p + 1 = -3. Suppose 2*h + y*h = b. What is the units digit of h?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-779)\/(-1408) + (4\/3 + 5954\/(-429) - -12).\nAnswer: 1\/128","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 180 + -1256\/7. Let g be 4\/((-16)\/6)*((-18)\/3 - (-244)\/42). Factor g*k**2 + 2\/7 + z*k.\nAnswer: 2*(k + 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2 + 2 - (-40)\/(-16)\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 37 (base 8) to base 10\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 235 minutes before 7:10 PM?\nAnswer: 3:15 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 9*l - 1. Let m(q) = -74*q + 8. Let d(y) = m(y) + 8*w(y). Let z(t) = -3215*t**2. Calculate z(d(v)).\nAnswer: -12860*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 5854995?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -25567  (b) 0.3  (c) -2  (d) -32\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**3 - 3*y + 1. Let g(q) = -4*q + 18. Suppose -4*z = h - 8, 0*h - 13 = -2*h - 5*z. Let n be g(h). Calculate p(n).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3465130 - -3465124.000034. Let f = -6 - l. Round f to 5 dps.\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1.14043 or 1096?\nAnswer: 1096","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 2853*r + 37091. What is i(-13)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -1897*z + 95246. What is c(50)?\nAnswer: 396","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 55072 from -64389339.3.\nAnswer: -64444411.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) be the third derivative of u**5\/12 - u**4\/2 - 7*u**3\/3 + 143*u**2. Let b be o(-3). Solve b - 57 = -2*p for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 2 + 0)*(0*n + 3*n - 7*n + 1 + n - 1 + 2*n + 2 - 2 + (n - 2 + 2)*(3 + 0 - 1) + 0 + 0 + n + 1 - n - 1 + 10 + n - 10 + 3*n - 7*n - 4*n).\nAnswer: 6*n","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -0.07 - 0.13. Let s = -40.1 - -40.2. What is the nearest to -1\/2 in -1, k, s?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from pxdppdmdddpdd. Give prob of sequence pxpd.\nAnswer: 7\/1430","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 + 1 + 1)*(2*a**2 - 2 + 2) - 3*a**2 + a**2 + 3*a**2 + (-3 - 2*a + 3)*(0*a + 3*a - 4*a) + 1 - 1 + 2*a**2.\nAnswer: a**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 543851 and 62524.\nAnswer: 539","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from yzyyyszsyzyy. Give prob of sequence zz.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Convert -13403 (base 7) to base 14.\nAnswer: -1473","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 77*k - 80*k = -4*b - 34, 6*k - k - 3*b = 3*k + 23 for k.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = -39*k + 8*k - 8*k - 12*k. Let l = 27 - 27. Let m(u) = l*u + 9*u - 10*u. What is m(d(g))?\nAnswer: 51*g","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2685*c*z**4 + 113*c*z - c - 1 wrt z.\nAnswer: 32220*c*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 1\/(-2)*8\/(-6). Let q(d) = d**3 - 4*d**2 + 4*d. Let j be q(3). Let 8\/3*g**2 + 8\/3*g**4 + c*g + 2\/3*g**5 + 0 + 4*g**j = 0. Calculate g.\nAnswer: -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -0.5, 0.4, 2\/11, 2?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10525.\nAnswer: 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 88 + -93. Let m = 1.6 - 1.7. Which is the fourth smallest value?  (a) m  (b) n  (c) 0.5  (d) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and 749?\nAnswer: -374.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -j + 7 = 0, 2*r - 2*j = 3*j - 29 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = -169*x**2 + 17*x + 17. Let m(t) = -338*t**2 + 34*t + 35. Let v(z) = 5*j(z) - 3*m(z). Let u be v(-7). Round u to the nearest 1000.\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*a + 12 = 4*z + 4*a, -2*z - 14 = -3*a for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x - 7*x + 8 = 0. Suppose 4*t = -5*q - 10, -2*q - t - 1 = -0*q. Solve 0 = -q*w - 2*v + 8, 2*w - x*v + 21 = w for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in q**2 + 261 + 191 - 802 + 266.\nAnswer: q**2 - 84","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -39302*i**3 - 2*i**2 - 7*i - 9. Let h be z(-2). Suppose v - 1491587 = h. Round v to the nearest one hundred thousand.\nAnswer: 1800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -161 - -213. Let m = d + 153. Calculate the remainder when m is divided by 10.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that 4*k**2 - 256*k - 1088 = 0.\nAnswer: -4, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16.758345 months to years.\nAnswer: 1.39652875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*f - 5*f + 0*f)*(f + 10*f + 14*f + 3*f - 3*f - 2*f + (3 - 2 - 3)*(f + 0 + 0))*(-1 - 1 + 0 + (0 - 2 + 3)*(-2 - 2 + 2)).\nAnswer: 84*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 257 a factor of 218289360?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of m**5 + m**4 + 402920*m**3 - 4316493*m**2 wrt m?\nAnswer: 60*m**2 + 24*m + 2417520","meta":{"dup_signals":{},"source":"calculus__differentiate_test"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:12 AM and 10:50 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: -6989590 divided by 3494795\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = a**3 + 5*a**2 - 22*a + 12. What is h(-8)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence avb when three letters picked without replacement from kakavb.\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 41 + 25 = 0. What is the remainder when 84 is divided by h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(v) = 2*v + 37. Let r(k) = -24 + 13*k**2 + 8 - 12*k**2. Let l be r(0). Let q be u(l). Solve g = -q - 0 for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10773 is divided by 547.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -2002203112 - 3111?\nAnswer: -2002212223","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 10*g - 111*g = 58*g + 3339 for g.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g - 9*r + 4 = -10*r, 0 = 5*r - 10. Suppose 4*b - b - g*o = 28, -56 = -5*b + o. What is the greatest common factor of 18 and b?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -188 + 187.089. Let p = 0.717 - d. Let j = p - 1.6. What is j rounded to two dps?\nAnswer: 0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1678, -261, 4, -4, 1 in descending order.\nAnswer: 4, 1, -4, -261, -1678","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 31, -2, -216, 1 in descending order.\nAnswer: 31, 1, -2, -3, -216","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = 10494785*p + 31484352. Calculate r(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -49, -117, -175, -217, -237, -229, -187, -105?\n\"Answer: o**3 - o**2 - 72*o + 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 a and 1 w when four letters picked without replacement from wajwwwwwwwjwawwwwjww?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/4 in 2, -2\/3, -1, 4974?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8202)\/(-171) - (83 + 312378\/(-3762)).\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 4\/5*(-12 + 7) - -3. Let v(x) = 4*x + 39. Let a(l) = l + 1. Let b(f) = z*v(f) - a(f). Calculate the lowest common multiple of b(-12) and 10.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 55501 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 1291717871 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -0.84016 * 0.6\nAnswer: -0.504096","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**2 - 6*a + 7. Let r be m(5). Let j be r - (-5 + -1 - -3). Solve j*y = 20, 2*y - 4*y - 7 = -3*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:47 AM and 6:36 AM?\nAnswer: 289","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 3510150?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 12 or 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 11 - 34 = 0. Suppose 23 = t - 3*b, 0*b - z = -5*b. Is t a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1600584634.\nAnswer: 2, 11, 72753847","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*d - 7*d + 28 = 0 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -4.127 + 4. Round m to 2 decimal places.\nAnswer: -0.13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.31 + -4.69. Let w = -0.07 - 2.93. What is the third biggest value in 3, o, w?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (2 - (-1 - -1))\/2. Let m = f - -1. Does 10 divide 2\/m*(24 - 1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(l) = l**2 - 60*l + 921. Let t be m(27). Calculate the greatest common divisor of 410 and t.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in seven halves of a second?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 37170 + -17298. What are the prime factors of x\/45 + (-15)\/25?\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m = 4*s - 16 - 14, 4*s - 4*m - 24 = 0. Let g(b) = b**3 - b**2 + b + 17. Let l be (2\/2 + -1)\/(-1). What is the remainder when g(l) is divided by s?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q**2 + 4*q**2 + 0*q**2)*(q - 3*q + q) - 4*q**3 + 3*q**3 - 2*q**3.\nAnswer: -10*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1051438?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -18 + 16. Let p be (-2 - 9)\/1*y. Let -53*u**3 + 23*u**4 - 8*u**5 + 7*u**4 - p*u**3 + 5*u**5 = 0. What is u?\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 15\/848, 3, 236?\nAnswer: 236","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26*z + 33*z - 483 = 0. Suppose c - 19*m - 11 = -14*m, -3*c + z = -3*m. Solve 2*r + 4*y - c = -0*y, -2*r = 2*y - 16 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence loio when four letters picked without replacement from eoiiiiiilloeieii.\nAnswer: 3\/3640","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 9321?\nAnswer: 3, 13, 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round -631870 to the nearest 1000000.\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 671?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1379*s + 2709 = 10760 + 23666 for s.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -107824 (base 9) to base 12\nAnswer: -3161a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 138233 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is bd - 2?\nAnswer: bb","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d**3 + 13*d**2 - 72*d - 32. Is p(-16) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 3, o: 4}. What is prob of picking 1 n and 3 o?\nAnswer: 12\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22801731?\nAnswer: 3, 37, 205421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 58 and 78.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -617346918952 from -0.2.\nAnswer: 617346918951.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 198545 is divided by 198.\nAnswer: 149","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4729, 37669, 127005, 300913, 587569?\nAnswer: 1015149","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 7 - 0. Suppose v*d - 2*d - 630 = 0. Is (2 - 1) + (d - -6) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 65800, 65765, 65730, 65695, 65660, 65625?\n\"Answer: -35*u + 65835","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 3140\/25*(-17 + 32). Solve 14 = 1891*d - w*d for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 3*a - 5*a. What is the second derivative of -3*g**5 + a*g**5 + 3*g**5 - g**5 + 5*g wrt g?\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6476?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -289 = 4*i - 26*i - 267 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (x - 2 + 2)*(5*x - 2*x - x) - 14*x + 31*x + 3*x**2 - 24*x.\nAnswer: 5*x**2 - 7*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -54768*f**4 - 140607 wrt f.\nAnswer: -219072*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert -24c8 (base 14) to base 16.\nAnswer: -1930","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 24523 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/3*2 - 444\/18?\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*n = 29213*m - 29212*m - 2, 0 = n - 5*n - 4 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) be the first derivative of -35*o**3\/3 - 81*o**2\/2 + 39*o - 31. Let m(j) be the first derivative of n(j). Differentiate m(r) wrt r.\nAnswer: -70","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1\/(-2)*3*-32. What is the greatest common divisor of 24 and l?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/64 of a kilogram in milligrams?\nAnswer: 15625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -p = -4*p. Suppose 5*o = -4*g + o + 680, 2*g + 4*o - 338 = p. What is the highest common factor of g and 19?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -942 divided by 350.\nAnswer: -471\/175","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(40)\/sqrt(128))**2 - (-5 + sqrt(180))) + ((sqrt(15)\/sqrt(3) + 3)**2 - sqrt(20)\/(sqrt(36)\/sqrt(9))).\nAnswer: -sqrt(5) + 309\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1523082.\nAnswer: 2, 3, 11, 47, 491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 629177954 is divided by 68.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g(o) = -3*o**2 + o - 4. Let j(s) = 3*s**2 - 2*s + 5. Let h(k) = 3*g(k) + 2*j(k). What is h(-2)?\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9156)\/31392)\/((-42)\/840*(-30)\/(-4))?\nAnswer: 7\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ermmwlrrrjere. What is prob of sequence rr?\nAnswer: 5\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Divide -165 by -165.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = -u**3 + 6*u**2 - u. Suppose s + 18 = 4*s. Determine j(s).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 3135\/135 + 2\/(-9). Find the third derivative of z*j**2 + 16*j**6 + 2 + 5*j**2 - 2 wrt j.\nAnswer: 1920*j**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sssssscccssssscscsss. Give prob of picking 2 c and 1 s.\nAnswer: 5\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 20 - 5\/((-20)\/(-16)). Factor 0*r**2 + 5*r**2 - 2*r**2 + r**2 - s*r.\nAnswer: 4*r*(r - 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4005 + 4102. Calculate the remainder when 269 is divided by d.\nAnswer: 75","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = -y + 1. Let s(w) = w**3 + w**2 - w + 4. Let r be s(0). Suppose -r*z + 3 = 7. Let f(c) = 7*c - 5. Give z*f(g) - 5*v(g).\nAnswer: -2*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 36944 < -2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -95 - -139. Let p = -44.53549 + -0.00451. Let w = m + p. Round w to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -56924*d + 56924*d - 796*d**3 + (d - 1 + 1)*(0*d - 2*d**2 + 0*d) + 3*d**3 + 3*d**3 - 2*d**3.\nAnswer: -794*d**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 9c (base 13) in base 6?\nAnswer: 333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l = y - 41 - 29 + 17, -3*y - 92 = -7*y - 8*l for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1186 - 1247.32. Let t = 52 + m. Let k = 9 + t. What is k rounded to one decimal place?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 68961 * 0.2.\nAnswer: 13792.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 2870258 * 8\nAnswer: 22962064","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 81*o + 775. What is f(-10)?\nAnswer: -35","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -22470319+-1034552\nAnswer: -23504871","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -3\/21788 and -23\/40.\nAnswer: 217880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -101425 + 12212?\nAnswer: -45213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:04 AM and 11:07 AM?\nAnswer: 123","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 43426 - 43441 = f + 4*s, 0 = 4*f + 2*s + 60 for f.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -60.1 + 55. Let f = z + 5. Which is the biggest value?  (a) f  (b) -4\/9  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(q) = 150*q**3 - 11*q**2 + 26*q - 13. Let g be v(6). Round g to the nearest one thousand.\nAnswer: 32000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 8\/28*(4 - -3). Let m(x) = 8*x - 4 - 4 - 10*x**j - 2 + 7*x. Let u(v) = 11*v**2 - 14*v + 9. Let t(y) = -6*m(y) - 5*u(y). Factor t(k).\nAnswer: 5*(k - 3)*(k - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = a + 5*x - 81, -3*a + x - 47 = 0. Let m = a - -33. Let f = 1 + 9. What is the remainder when m is divided by f?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*r + 245 - 255. Let c(p) = 0*p**2 + 0*p - 3*p**2 - 6 - p + 5*p**2. Is c(r) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 259 + -278. Let c be 114\/l*(-31)\/6. What is the greatest common divisor of 217 and c?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = w**2 + 14*w + 4. Let f = -133 - -119. Let c be n(f). What is the tens digit of (-9)\/6 - -2 - (-438)\/c?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g\/g**(1\/5)*g)\/g)**(-3)*(g\/(g*g**(-1\/5)))**18 assuming g is positive.\nAnswer: g**(6\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 289 is divided by 102?\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*r = 5*j + 13*r - 2607, -2*j + 4*r + 1056 = 0. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.28 + 0.02. Let x = 259\/36 - 89\/12. What is the nearest to 0 in x, -0.2, l?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = -s + 1. Let y(a) = -a**3 + 11*a - 11. Calculate -2*y(w) - 22*z(w).\nAnswer: 2*w**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 + -5. Let p = 3 - y. Let u be (-1)\/(-6) + 1\/p. Put -5, u, -2 in decreasing order.\nAnswer: u, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -36 - -556?\nAnswer: 520","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u(w) = -24*w**2 + 36*w + 12. Let v(z) = -71*z**2 + 107*z + 37. Let q(j) = 11*u(j) - 4*v(j). Factor q(g).\nAnswer: 4*(g - 2)*(5*g + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 433930309 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 - (-1 + -10 - (-8 - (10 - 12)))?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = -8*h - 88. Let f be w(-16). Let p = f - 37. Suppose -p*i = -4*m - 81 + 232, 2*i + 187 = 5*m. List the prime factors of m.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 0.02 - 2.02. Let w = -74.7 - -78. Let b = w - 0.3. What is the second biggest value in -4, b, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -12*s**3 - 10*s**2 + 10*s - 12. Let x(m) = m**3 + m**2 - m + 1. Let i be -5 + ((-30)\/(-4))\/(6\/12). Calculate i*x(b) + q(b).\nAnswer: -2*b**3 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 17015 - 5660. Is f\/5*1\/3 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 12398*v**2*w**2 - 2*v**2*w + 30749*v**2 - 180*w**2 + w - 44 wrt w?\nAnswer: 24796*v**2 - 360","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 56  (b) -1135  (c) -4252\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.04572454 to 2 decimal places.\nAnswer: -0.05","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 17*m - 12*m - 832, -2 = -m. What are the prime factors of k?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -178*i + 11199. Calculate j(63).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2900 + 14499\/5. Put -0.01, -0.3, m, -1, -5 in decreasing order.\nAnswer: -0.01, m, -0.3, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 1236519 and 2501?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 102 + -99. Let l(r) = 26*r**2 + 29. Let i(v) = 53*v**2 + 59. Let b(y) = g*i(y) - 5*l(y). Differentiate b(c) with respect to c.\nAnswer: 58*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 122*z. Let u(l) = -2*l. Give r(u(o)).\nAnswer: -244*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 585 = -160*r + 95*r for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l = -2*k + 34, -2*k + 27 = 2*l + 1. Let j be 7 + -3 + (-10)\/(-2). Suppose l*t = j*t - 336. Calculate the highest common factor of 42 and t.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11688 (base 10) to base 16.\nAnswer: -2da8","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**3 - 28*u**2 - 27*u - 54. Let w be i(29). Suppose v + 245 = w*p, 2*v = -2*p + 3*v + 121. Suppose 0 = a + 6 - p. Is a a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 9 + 23*z + 49*z + 9*z**3 - 2*z**2 - 72*z as l*z**3 + j*z**2 + o*z + c and give l.\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (s + 0*s - 3*s)*(8 + 1 + 1)*(3 - 5 + 1)*(1 + 4 - 3)*(3 - 2 - 2).\nAnswer: -40*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m**(-9\/11)\/(m*m*(m\/(m\/((m**(2\/49)\/m)\/m))*m)\/m)*(m*m**(9\/2))**9)**(-37) assuming m is positive.\nAnswer: m**(-1940095\/1078)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 225 - 230. Let t be (4 - 3) + 1\/(-1). Sort -8, t, n in descending order.\nAnswer: t, n, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 3134 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 65, 126, 187, 248, 309?\nAnswer: 370","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/10 of a millimeter in micrometers?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the first derivative of 5*b**7\/42 + b**6\/3 + b**5\/4 + 17*b + 8. Let v(h) be the first derivative of s(h). Factor v(a).\nAnswer: 5*a**3*(a + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (((-48)\/(-63))\/(-8))\/(20\/30)?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be -1 + 19\/(-5) - -5. Which is the closest to 0?  (a) r  (b) -4  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*d = 5*z - 9, 3*z = 4*d + 19 - 12 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o + 817*r = 822*r + 40, 0 = -3*o - 5*r - 4 - 11 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 0.3 - 0.5. Let i = -0.45088 - 0.04912. Which is the closest to v?  (a) 5  (b) -0.1  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2 + 0. Suppose 5*x = -4*d + r*x + 15, -3*d + 8 = -x. Suppose 5*y = 2*k - 76, -d - 1 = y. Is k a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1025928?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 257594 and 296?\nAnswer: 74","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth smallest value in 0, -2.44, 2\/15, 3\/2, -2.8, -2\/17?\nAnswer: 3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(k) be the second derivative of 2\/15*k**4 - 1 + 3*k + 3\/5*k**2 + 19\/30*k**3 - 1\/20*k**5. Solve w(n) = 0.\nAnswer: -1, -2\/5, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 2, l: 4}. Give prob of picking 2 l.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 64\/93 and 4 + -8 + (-2)\/((-792)\/1374).\nAnswer: 2046","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -18650 by -18650.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Divide -82882597 by -4423.\nAnswer: 18739","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 5\/17?  (a) -2\/9  (b) 0  (c) 66\/19  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 49\/2 + -345\/14. Let x = 169.2 - 169.5. What is the third biggest value in x, -0.5, y?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = 19*i**2 - 352*i - 732. Give m(-2).\nAnswer: 48","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**2 + 3*t - 4. Let h be v(-6). Let u = -37 - h. Suppose 0 = 2*q - 15 - u. What are the prime factors of q?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + 6*(-1 + 1*sqrt(605) + -5 + sqrt(605))**2)*-2.\nAnswer: -29474 + 3168*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -28399*i**2 - 8220*i + 2 wrt i.\nAnswer: -56798","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -671 or -778619\/1161?\nAnswer: -671","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -97\/18360 and -99\/10.\nAnswer: 18360","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: ((-581)\/(-2))\/7*(-64)\/(-656) - 4\nAnswer: 2\/41","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*q + 3*q - 7*q)*(q - 3*q + 2*q**2 + 3*q) + (46*q**2 + 482*q - 482*q)*(q + 1 - 1).\nAnswer: 44*q**3 - q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = r**3 - 5*r**2 - 6*r + 3. Let c be o(6). Suppose -3*u + 23 = 20. Let q = u + c. Solve 5*d - 8 = s, 7*d - q*d - 16 = -5*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3478243 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 2*d**4 + 6284*d**3 - 25*d**2 + d + 30576816 wrt d?\nAnswer: 8*d**3 + 18852*d**2 - 50*d + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 1 - 6 + (-1 - 2 + 4)*(5 - 1 - 5))*(-2*s**3 + 0 + 0).\nAnswer: 22*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1\/(-1)*-5 + -1. Suppose 5*v - r*v = -3. Which is smaller: v or -2?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18 = g + 9. Let s be 3\/4 + g\/(-12). Suppose -2*p - 5 = -5*j, -4*j + j = 4*p - 29. Solve -m - p = s, -u + 40 = -6*u - 3*m for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -793, -788, -785, -784, -785?\n\"Answer: -m**2 + 8*m - 800","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 21 (base 5) to base 3\nAnswer: 102","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 813*l**3*r**3 + 5789*l**3*r**2 + 5227*l**2*r**3 - 14*l**2*r + 16*l*r**2 - 3*r**3 wrt l.\nAnswer: 4878*r**3 + 34734*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 + -4. What is the third biggest value in 3, -0.08, y?\nAnswer: -0.08","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3 - -1214327.\nAnswer: 1214330","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 81*f = 196*f + 1380 for f.\nAnswer: -12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 343 - -232. Let l = -68 - 97. Let q = l + t. What is q rounded to the nearest 100?\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -9, -60.\nAnswer: -60, -9, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (88\/440)\/(1\/((-2)\/(-2)))\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7.05 - -12.05. Sort -4, v, 1585 in ascending order.\nAnswer: -4, v, 1585","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 679856381 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-264)\/(-12))\/(-198)*(-675)\/10*-10.\nAnswer: -75","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -757, -752, -743, -730, -713, -692, -667?\n\"Answer: 2*m**2 - m - 758","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 1131 divided by 4\nAnswer: 1131\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**3 + 58*r**2 + 23*r - 568. Is 75 a factor of z(-47)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1036*j + 345*j - 2 = f - 347*j - 347*j, 46 = -5*f - 3*j for f.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(x) be the second derivative of 2*x**3\/3 + x**2\/2 - x. Let p(t) be the second derivative of t**3\/3 + 18*t. Calculate 2*h(w) - 5*p(w).\nAnswer: -2*w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -259\/5 + 52. Let w = -0.14 - -0.04. What is the nearest to w in -3, d, 1?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 60415662?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -95 + (98 - (19 + -98)).\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 24570 and 8190.\nAnswer: 24570","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = 2*x**3 - 70*x**2 + 68*x + 14. Give n(34).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 3120361 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 28200 and 149648.\nAnswer: 11223600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 724030 to the nearest integer?\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 1\/((-4)\/12 - 0) + 7. Let a(q) = 11251*q**2 - 7*q + 12. Let p be a(y). Round p to the nearest 100000.\nAnswer: 200000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.518 + -23?\nAnswer: -23.518","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 17*j - 23*j - 2*b - 8, 3*j - 2*b = 25 - 26 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -36*h - 4. Let k(b) = 12*b + 1. Let m(s) = -8*k(s) - 3*y(s). Let o(j) = -11*j - 3. Let r(d) = -5*m(d) - 6*o(d). What are the prime factors of r(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c + c - 65. Suppose -3 = -2*p + 9. Let z = c - p. Calculate the greatest common factor of z and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:19 PM and 3:50 AM?\nAnswer: 631","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10110010100111101111 + 11?\nAnswer: -10110010100111101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 9 + -14. Let k = -2.929507 + -0.070493. Which is the second smallest value?  (a) k  (b) g  (c) -17  (d) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 6 in 3\/2, -6, 1.05, 10, 4\/7?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2726*o + 5277*o - 7698*o - 17475*o to q*o + h and give q.\nAnswer: -22622","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -244\/1957 + 2\/103. Sort -2, h, 0 in decreasing order.\nAnswer: 0, h, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) be the second derivative of -1\/12*v**4 + 5\/18*v**3 - 1\/60*v**5 + 6*v + 0 - 1\/3*v**2 + 1\/90*v**6. Let o(q) = 0. What is q?\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -89\/72 and 39\/13409.\nAnswer: 965448","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = -234282*x + 26. Let y(w) = 117141*w - 13. Let h(a) = 6*m(a) + 13*y(a). Let z be h(-7). Round z to the nearest one hundred thousand.\nAnswer: -800000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (660\/35)\/((-46)\/(-1127)). Let a = 146 + 182. Let k = g - a. What is the tens digit of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*f = 20 - 7. Solve -3*t - f = -7 for t.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -8*j**2. Let o(d) = d**3 + 2*d**2 - 8*d + 2. Let i be o(-4). Let t(z) = 362*z - 362*z + z**i. Determine t(b(x)).\nAnswer: 64*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 65477851 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -f + 3b0?\nAnswer: 3a1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 27 = -7. What is the remainder when x is divided by 13?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00001607955084 rounded to six decimal places?\nAnswer: 0.000016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -14 - 3. Let y = m + 16.7. What is the smallest value in y, -3, 0?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 10, c: 2, z: 4, k: 4}. Give prob of picking 1 j and 1 k.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a\/(a**(-5)*a))\/a**(2\/9)*(a**(-2\/5))**(3\/5)*(a**(1\/3))**10*(((a\/a**(1\/2))\/a)\/a)**(-4\/15) assuming a is positive.\nAnswer: a**(1861\/225)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k when two letters picked without replacement from ceaekaaceqeqaatke?\nAnswer: 1\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 3*x**2 + 2. Let z(j) = -2*j**2 - 3. Suppose 55*t = 65*t - 280. Suppose t*w - 103 = -19. Give w*g(f) + 4*z(f).\nAnswer: f**2 - 6","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(j) be the second derivative of j**4\/12 - 5*j**3\/6 - 12*j**2 - 53*j - 4. Factor s(r).\nAnswer: (r - 8)*(r + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -z**3 - 16*z**2 - 13*z + 28. Let p be -7 + -4 + 3\/(6\/(-8)). Let u be q(p). Let v be ((-2)\/(-3))\/(0 + u\/(-12)). Put 1, -4, 6, v in ascending order.\nAnswer: -4, 1, v, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(176) + -3 + sqrt(176) + 2 + 2 + (-2 + sqrt(176) + -1)*6)**2.\nAnswer: -1088*sqrt(11) + 11553","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -68458, -68454, -68448, -68440, -68430, -68418, -68404?\n\"Answer: v**2 + v - 68460","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -97cc5b (base 14) in base 10?\nAnswer: -5144689","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*k - 39 = 200*s - 203*s, 6*k - 2*s - 106 = 0 for k.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes before 11:15 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((1932\/828)\/((-7)\/2))\/(7\/(-588)).\nAnswer: 56","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 6*u - 211 = 5*u, 0 = 5*l - u - 266. Let d = 797\/15 - l. Factor -4\/15*j + 2\/15 + d*j**2.\nAnswer: 2*(j - 1)**2\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76 - 550 = -3*k - r, -2*r = 3*k - 631. Let y be -3*1*(-46)\/k. Which is the nearest to -0.1?  (a) 16  (b) y  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*d**4 + 0*d + 0*d + 5*d**4 + 9*d**4 - 11*d**4 + 108*d + 7*d**4 - 108*d + (-d**3 - d**3 + 4*d**3)*(-d + 4*d - 5*d) + 0*d**4 - 4*d**4 + 3*d**4.\nAnswer: 2*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*f - 6*f - 30*f**2 - 59 + 59.\nAnswer: -30*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 6, p: 5, f: 1, m: 1, b: 2, a: 1}. What is prob of picking 1 a, 1 m, and 2 b?\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2\/(-6))\/(5\/(-10)*(-4)\/24).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -937 - 18*k + 1295 + 1558 + 1485 + 16*k.\nAnswer: -2*k + 3401","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 6*t**2 + 4*t + 5. List the prime factors of d(-4).\nAnswer: 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -2*f*n**4 + 2*f - 36*n**4 + 9 wrt n?\nAnswer: -8*f*n**3 - 144*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 17103?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is -13 - ((9 - -8) + -28)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 233\/6 in -0.3, -1\/3, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 8401761611 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -10 - -16. Suppose 0 = -3*n + 3*z + 24, 3*n - 2*z + l = 25. Let b be 4\/(-6) + 28\/6. Solve -n*o = 13 - b for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 15243 + -5335. What are the prime factors of i?\nAnswer: 2, 2477","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xxxxxyxyyyqxqxyyqyxx. What is prob of sequence xy?\nAnswer: 7\/38","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -5*r**5 + 21*r**4 + 21*r**3 - 5*r**2 - 9*r. Let t(i) = -i**5 + 5*i**4 + 5*i**3 - i**2 - 2*i. Let n(m) = -4*j(m) + 18*t(m). Factor n(x).\nAnswer: 2*x**2*(x + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 1\/164, -2, 1?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -u**3 - 7*u**2 - 7*u - 4. Let h be w(-6). Suppose -6*c + 3*c = -18. Suppose 0 = 6*q - 3*q - c. Solve h*g = -q*g + 20 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 0.4, -3, 2, 2400?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 85  (b) 0.63  (c) -0.3  (d) -1\/5  (e) 66\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t**21\/(t*t**(2\/21)))\/(t\/((t*t*t\/t**(-3\/10)*t)\/t*t)*t\/t**1))**(-8) assuming t is positive.\nAnswer: t**(-19492\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 492 minutes after 1:45 AM?\nAnswer: 9:57 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 121538.\nAnswer: 2, 67, 907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 2870472 and 1162?\nAnswer: 166","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 97956 to the nearest integer?\nAnswer: 313","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11803 is divided by 1673?\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - 16 = 2*p, -p + 2*i + 2 = 2*p for p.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 52 or -11?\nAnswer: -11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*v + v = 2. Let z be 10 + v\/((-4)\/2). Suppose 0 = -5*x + 1 + z. Is 2 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -45, -248, -589, -1068?\nAnswer: -1685","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 3 - 169. Let o = p + 163. Let b(h) = h**2 + 6*h - 1. Calculate b(o).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 16*k**4*t**2 + 1804*k**3 - 63375*t**2 wrt k?\nAnswer: 64*k**3*t**2 + 5412*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7125?\nAnswer: 3, 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -144 + 1437\/10. Find the common denominator of (-1)\/4*(-3538)\/(-232) and h.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -89*y - 2*v + 3864 = 95*y, -4*y - 81 = -2*y + 5*v - 123 for y.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is -266 smaller than -6086\/23?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 484 and 1089?\nAnswer: 121","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12 - 5. Let h = 6.1 - o. Round h to 0 dps.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:57 AM and 8:58 AM?\nAnswer: 121","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = -6029*y - 13. Let i(d) = -21130*d - 46. Give 18*h(w) - 5*i(w).\nAnswer: -2872*w - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 7, n: 3}. What is prob of picking 1 e and 1 n?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -89250 times -1244\nAnswer: 111027000","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*a - 327 = 3*p + 5*a, -a = -4*p - 429. Let m = -74 - p. Let s = m - 20. Solve 6 + 2 = 2*l - 2*z, -l - s = 5*z for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = u**2. Let j(y) = 6*y**2. Let b(q) = -16*i(q) + 3*j(q). Let g(r) = r - 2. Let n(w) = 18 - 13 - 4. Let x(k) = g(k) + 2*n(k). What is x(b(v))?\nAnswer: 2*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -7 + 13. Let v be (-2)\/(-7) + p\/(-21). Suppose v = -d + 3 + 1. Solve -3*m = -3*l - 21, -6*l - 4*m = -d*l - 4 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4073 is divided by 145?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 35164, 281971, 951824, 2256247, 4406764, 7614899?\nAnswer: 12092176","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = 5*j + 38115, -47*d - 7611 = -48*d - 5*j. List the prime factors of d.\nAnswer: 7621","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 13207*t + 13088*t - 2 - 39387*t + 2 + 13094*t.\nAnswer: 2*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -2*j**2*n**3 - 6128*j*n**3 + 2524*n**3 - 4*n**2 - 2*n wrt j.\nAnswer: -4*j*n**3 - 6128*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(h) be the second derivative of -h**3\/6 + h. Let l(y) be the second derivative of -y**3\/3 - 9*y. What is l(z(i))?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 32461 (base 15) to base 4.\nAnswer: 212332000","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5 + sqrt(243) + 2*sqrt(243) - (sqrt(243) + 2*sqrt(243) + 5))**2.\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 16259 and 1?\nAnswer: 16259","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1  (b) -1  (c) -0.68  (d) -222.6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 7\/27 of a day?\nAnswer: 22400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2 - 7) + 7 + -10 + 2.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19 = 4*w - 5*z, -w + 6*w = -z + 60. Suppose f - 4*v = -4 - 5, 1 = f - 2*v. What is the greatest common divisor of w and f?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 63 (base 10) to base 7.\nAnswer: 120","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 2832, 58 in decreasing order.\nAnswer: 2832, 58, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (-52)\/(-4 + (-2)\/(-1)). Let x = -8 + i. What is the highest common factor of x and 126?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -7\/32451 and 53\/3.\nAnswer: 32451","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) be the first derivative of 900*l**2 - 2. Let t(s) = -s**2 + 2*s + 5. Let b be t(4). Let p be g(b). What is p rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -627, -1254, -1881, -2508, -3135?\n\"Answer: -627*d","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13215?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 2 - -2443?\nAnswer: 2445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 183 and 6148800?\nAnswer: 183","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q + 1 = y, -20067 = -2*q - 5*y - 20070 for q.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Express -9998826 + 5359*h**3 + 9998825 - 829*h**3 in the form x + c*h**3 + k*h**2 + t*h and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 335, 332, 329, 326, 323, 320?\nAnswer: 317","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 1622 = -3861. Let s = -107647820\/9 + 17231546693\/1440. Let w = s - b. Calculate the common denominator of w and -27\/10.\nAnswer: 160","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.5 in 5, 2, -15, 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32*u - 11797 = -11509 for u.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2317*b - 10 = -5*j - 2316*b, 0 = -j - 23*b - 578 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 339835?\nAnswer: 5, 67967","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = -3*g**2 - g**2 + 5*g**2. Let d(m) = 47*m + 41*m + 38*m + 44*m + 24*m**2 - 170*m. Determine o(d(s)).\nAnswer: 576*s**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 2725 - 2721. Let o(p) be the second derivative of -13*p + 0*p**2 + 0 + 0*p**3 - 1\/12*p**n. Let s(a) = -10*a. Determine o(s(d)).\nAnswer: -100*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 35*y**3 - 1 - 31*y**3 + 0 - 3*y in the form p*y**2 + j*y + t + a*y**3 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 3 and -3.26.\nAnswer: -9.78","meta":{"dup_signals":{},"source":"arithmetic__mul_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -16468, -65032, -145690, -258448, -403312, -580288, -789382, -1030600?\n\"Answer: -x**3 - 16041*x**2 - 434*x + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - 231\/(-45)) + -4?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.4  (b) 3195  (c) -1\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (w**2 + 0*w - 4*w + 2*w + 3*w**2 + 0*w**2 - 4*w**2 + (-w - 3*w + 5*w)*(w + 5*w - 4*w) - 4*w**2 + 0*w**2 + 5*w**2)*(8 - 10 + 6)*(-3 - 2*w + 3).\nAnswer: -24*w**3 + 16*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*g - 8*g + 9*g)*((3*g - 3*g - 2*g)*(2*g**2 - g + g) - 1 + 1 - g**3).\nAnswer: -30*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f + 6*f - 5*h + 222 = -204 + 111, 191*f - 2*h + 11655 = 0 for f.\nAnswer: -61","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -149531*w**3 - 10*w + 3481346?\nAnswer: -448593*w**2 - 10","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 1149 a multiple of 25?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = 4*p + 8. Let d be 5*(-3)\/6*p. Solve -d*k - 5 = -0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 127, 693, 1385, 2209, 3171?\n\"Answer: s**3 + 57*s**2 + 388*s - 319","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 5977 divide 180973073?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ve when two letters picked without replacement from slvssellvsrlsrvsres.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 387626060 to the power of 1\/2, to the nearest integer?\nAnswer: 19688","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 + -10 - (-10 + 4)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 117462001 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 758 - 235 = -4*f, -242 = -f - 2*d. Let k = 252 - f. Solve -5*z = 5*l - 3*z + 26, k = 2*l - z + 5 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -4*s + 1. Let f(w) = -1. Calculate -2*f(b) + k(b).\nAnswer: -4*b + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 64 and ((-210)\/126)\/((-3)\/9)?\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 + 0 = 5*l, p - 200 = -2*l. Suppose -19*a + 3*a = -544. Calculate the remainder when p is divided by a.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*r - 2*r + r + (-4 + 4 + r)*(2 + 1 - 4) - 2*r + 2*r - 6*r)*(-7*r - 5*r + 2*r)*(-5 + 2 + 5) in the form j*r + z + u*r**2 and give u.\nAnswer: 160","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = -c + 7. Let k(y) = y + 1. Let o be ((-25)\/30)\/(3\/(-18)). Give o*k(j) - w(j).\nAnswer: 6*j - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(110)*2*-6 + sqrt(110))\/(sqrt(4000)\/sqrt(4)).\nAnswer: -11*sqrt(11)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 1\/20 of a meter?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25*j - 15*j - 256 = -8*j for j.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*h - 16 = -4*q, 5*h - 117*q + 24 = -111*q for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 495*l - 42. Let b be n(8). Suppose -5*o + 588 = 3*u - b, -o = -4*u + 5985. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.3 - 0.8. Let x = -24.23 - -20.23. Let d = -3 - -2.8. What is the closest to 0.1 in f, d, x?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 118 a factor of 1230853429?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = q**3 - 4*q**2 + 2*q - 4. Let j be s(6). Suppose 7*z - j = -3. Suppose -5*d + 2 + 218 = 0. What is the highest common divisor of z and d?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2898\/483*-10*(-1)\/(30\/35)\nAnswer: 70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1.6 or -0.132?\nAnswer: -1.6","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**2 + 4*q + 4. Let p = -500 + 504. Determine i(p).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 0, -4, -17 in ascending order.\nAnswer: -17, -4, 0, 6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (59 + (-351)\/6)*(-76)\/(-6).\nAnswer: 19\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*z = -7*z - 15. Suppose 30 + 8*a**3 + 35*a - 13*a**z + 0*a**3 = 0. Calculate a.\nAnswer: -2, -1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15\/6*24*3\/30?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.2 + 0.7. Which is the nearest to 0?  (a) s  (b) -2  (c) -2\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-10) - (-768)\/40. Solve 34 - w = -3*m for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -9239 + 9477. Solve -x = -11*w + 45*w for w.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u - 22 = 3*l, 2*l - 3*u + 8*u = 17. Suppose m = 2*m - 5. Let i be (4\/40)\/((-2)\/m). Which is the biggest value?  (a) l  (b) i  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2a + b7?\nAnswer: 8c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - (-162)\/126)\/((-1)\/(-21)) - -6.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*p**2\/23 + 12*p\/23 - 14\/23.\nAnswer: 2*(p - 1)*(p + 7)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 2*t + 427 - 205 + 3*t**4 - 254 - 4*t**4 to d*t**2 + w*t**4 + z*t**3 + u*t + s and give w.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-2)\/(-4)*(-32 + 38). What is the second derivative of -45*h - 226*h**q - 71087 + 71087 wrt h?\nAnswer: -1356*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2900)\/(-125))\/(-58)*50.\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 60239.46 months to decades.\nAnswer: 501.9955","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = -12*x - 70. Let k be l(-6). Suppose 0 = -5*f + k*v + 2776, -6*v + v = -f + 569. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = 10*h - 2. Suppose 0 = w + 4*w - 10. Suppose -4*b + w*f + 27 = -b, -5*f - 50 = -5*b. Let v be d(b). Calculate the highest common divisor of 17 and v.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-16)\/24*(1 + -4). Let o(k) = -2 - 9*k + 4*k + l*k. What are the prime factors of o(-11)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 7198493194?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 0 + 0)*(-2*i**4 - 4*i**3 + 4*i**3)*(-1 - 2 + 5).\nAnswer: 12*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = -2 + 2*m - 25*m**3 + 3 + 20*m**3. Let j be t(-1). Suppose 3*a - 288 = -j*w + 846, -3*w = 2*a - 755. Is a prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15 + -8. Let i = 11 - n. Let g(v) = 11*v**3 - 19*v**2 + 31*v + 10. Let f(r) = r**3 - 2*r**2 + 3*r + 1. Let z(t) = 12*f(t) - g(t). Give z(i).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) be the second derivative of 308*v**4\/3 + v**3\/3 + 130*v**2 + 491*v - 1. Differentiate f(o) with respect to o.\nAnswer: 2464*o + 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 102956 is divided by 104?\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 135000320 a multiple of 57?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 3268?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-1 - (135\/(-20) + 0)) + -5.\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 + 562 = 3*j. Suppose 0 = -5*c - j + 1345. Let r = c + -126. Calculate the highest common factor of 15 and r.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(1872) - -1*(sqrt(1872) + 0))*4)**2 - ((sqrt(1872) + 1)*1 - -1*sqrt(1872)*4)**2.\nAnswer: -120*sqrt(13) + 73007","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = 144*p**3 - 18*p**2 + 6*p + 1. Let d(h) = -144*h**3 + 25*h**2 - 7*h - 2. Calculate 3*d(n) + 4*z(n).\nAnswer: 144*n**3 + 3*n**2 + 3*n - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1201324 and 32.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 8 = -o + 3, -j + 28 = 5*o. Suppose 9 - 1 = n. Let u(w) = -11*w - 8. Let k(i) = 4*i + 3. Determine j*u(d) + n*k(d).\nAnswer: -d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 67 + -36. Let i = -32 + c. What is the third smallest value in i, -4, -8?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6835197 to the power of 1\/2, to the nearest integer?\nAnswer: 2614","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 1, x: 7, z: 4, c: 1}. Give prob of picking 1 c and 1 g.\nAnswer: 1\/78","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2318427229.\nAnswer: 1877, 1235177","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1933271 (base 11) to base 4.\nAnswer: 30132022020","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -22 - -26. Suppose -2 + 18 = 4*c + a*j, 0 = 2*c + 5*j + 4. Suppose 5*o = 38 + 2. Calculate the least common multiple of c and o.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2223 - -2224. Is m at least as big as -2\/181?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1*(-11 + (-56)\/(-5) - 1).\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1684360977?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 300531 is divided by 136.\nAnswer: 107","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -4*f + 3*a + 35, 0*a + 0 = 4*f - a - 25 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -528, -1069, -1620, -2187, -2776, -3393, -4044?\nAnswer: -4735","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/(9\/(-3)) + 10 - 1. Factor -d + 8*g + 2*g**2 + 11.\nAnswer: 2*g*(g + 4)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**2 - 6733*x - 5421130.\nAnswer: -(x + 935)*(x + 5798)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 55 divide 21450?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.5136 and -0.3671544.\nAnswer: -0.8807544","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 6 + (13 - 33 - (0 - (4 + 3)))\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(p) = 7*p. Let o(i) = -257*i**2 + i + 154. Determine o(c(q)).\nAnswer: -12593*q**2 + 7*q + 154","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = 19 + 18 + 7*g - 14 - 10*g. Calculate f(15).\nAnswer: -22","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1313 = -f + 5*g + 260, -3*f + 4767 = g. What is the hundreds digit of f?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 36\/(-45) - ((-111)\/(-5) + 1). Let l be (-60)\/8*8\/10. Find the common denominator of -3 - l\/w*(-136)\/22 and 1\/31.\nAnswer: 341","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -12  (b) -143  (c) 0.2  (d) 3\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 812396857 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 155 in -0.5, -2\/5, -2, 0, -458, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2516*p - 18943 = 18232 + 30757 for p.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -3136 - -4223214?\nAnswer: 4220078","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 13297 or 6369360\/479?\nAnswer: 13297","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 122 + 1?\nAnswer: 123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 545 at least as big as 182952\/335?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7668305?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -39, -35, -27, -15, 1, 21, 45?\n\"Answer: 2*x**2 - 2*x - 39","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 63785404?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2114, 2104, 2094, 2084?\nAnswer: 2074","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1529 and 1296819821.\nAnswer: 1529","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(91) - -5*-2*sqrt(91)) + sqrt(91))\/(sqrt(7) - (sqrt(28)\/sqrt(16) + sqrt(7))) - ((2*sqrt(208))\/(sqrt(4)*1*5))**2.\nAnswer: -208\/25 + 16*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from lzzfllchfcucuz. Give prob of picking 1 l, 1 u, 1 c, and 1 z.\nAnswer: 54\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(y) = y + 3. Let k be f(-3). Suppose 0 = -3*b - 15 - k. Let n be (b\/(-2))\/((-7)\/(-14)). Put 2, n, 8\/3 in increasing order.\nAnswer: 2, 8\/3, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*(2 + (sqrt(363) + -3 + 4)**2 + (((sqrt(363)*-3 - sqrt(363)) + -3)*6)**2).\nAnswer: -629334 - 28578*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 11*c - 49814 = -8*c, 0 = w + 3*c - 9952. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 2926 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*h + 328 = -23*h. Let y(x) = x**3 - 64*x + 2. Give y(h).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 221984819.9 to the nearest ten thousand.\nAnswer: 221980000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 72\/32777 = -12?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16, -53, -152, -343, -656, -1121, -1768, -2627?\nAnswer: -3728","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of 1321, 1252, 1173, 1078, 961, 816?\n\"Answer: -i**3 + i**2 - 65*i + 1386","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -0.1 - 55.16\nAnswer: -55.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -36*u**2 + 49071298 - 152*u - 49071298 to d*u + z*u**2 + t and give z.\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 - 1 - 8)*(-2 - 2 + 2)*(1 + 1 - 4)*(0*w - 4*w + w).\nAnswer: 132*w","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Express (u**2 - 2*u**2 - u**2)*(-18*u**2 + 61*u**2 - 14 + 15) as z*u + b*u**3 + r + q*u**4 + w*u**2 and give w.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 315 minutes after 5:05 PM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from rsrsjrnososnsvnos. What is prob of sequence onon?\nAnswer: 3\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**2\/5 + 423*y\/5 + 422\/5.\nAnswer: (y + 1)*(y + 422)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w when two letters picked without replacement from wshhhhswhwss.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*k + 549 = -7781. List the prime factors of k.\nAnswer: 5, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l = -5*l - 120. Let o = l - -42. Which is smaller: 13 or o?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -6*g + 3*g. Let r = 5748 - 5748.3. Sort g, -0.13, r.\nAnswer: r, -0.13, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -100 + -10101011100110?\nAnswer: -10101011101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve -294*r + 462*r + 3528 = 0 for r.\nAnswer: -21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-12)\/(-13))\/(1*(-60)\/200*-10)?\nAnswer: 4\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*z**2 - 72*z - 243.\nAnswer: 3*(z - 27)*(z + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(r) = -r**2 - 6*r - 5. Let w be a(-6). Let j = 2 + w. Let p(n) = -4*n - 4. Let g be p(j). Solve -g*d + 4*d + 18 = -3*f, 0 = -3*d - 2*f + 5 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) = -25*w + 199. Determine a(3).\nAnswer: 124","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let j(v) = -v**3 - 4*v**2 + 4*v - 3. Let p be j(-5). Suppose -2*g - u + 24 = 0, 2*u = -5*g + 56 + p. What are the prime factors of g?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0 - -16. Solve 5*x = 25, d - n = -d - 2*x for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -153*k**2 - 134*k**2 - 150 + 150 - 140*k**2 + 433*k**2.\nAnswer: 6*k**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -76*l*q - 6*l*w - 33*q*w**3 - w**3 + 5741*w wrt q.\nAnswer: -76*l - 33*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hp when two letters picked without replacement from {h: 5, x: 2, p: 5}?\nAnswer: 25\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 9\/((-45)\/(-4880)) - -3 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -2*g**3 + 68*g**2 - 64*g - 64. Let s be q(33). Suppose 12*o - 84 = 10*o + s*v, 3*o - 138 = -3*v. Solve o*z = 40*z - 12 for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = u**2 + u - 22. Let h be c(-5). What is the units digit of (4 - (2 + h)) + 1704\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the first derivative of -h**2\/2 + 25*h + 2. What is the remainder when 15 is divided by p(16)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k = -34*i + 39*i + 20, 5*k + 3*i = -12 for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Total of -4 and -29449.\nAnswer: -29453","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -258*u + 264*u - 36 = 0. Let a(z) = 5*z - 14. Determine a(u).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) 0.06  (b) 4\/7  (c) -2\/5  (d) -64602\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1318336, 1318317, 1318298, 1318279, 1318260?\n\"Answer: -19*k + 1318355","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -160184, -160186, -160188, -160190, -160192?\n\"Answer: -2*u - 160182","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-h**2 + 0*h**2 - 2*h**2)*(-11*h + 31*h + 19*h) to the form n*h + y*h**3 + d*h**2 + a and give y.\nAnswer: -117","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -5 - -11. Suppose -5*p + 13 = -z*f + 3*f, 0 = p + 2*f - 13. What is the highest common factor of p and 135?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 48008089 - 108.8.\nAnswer: 48007980.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 201850?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-3)\/8*10\/15. What is the smallest value in 2.6, h, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45*p + 332 = 152 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4\/24 - (-170)\/(-300). Let f = -4\/15 + h. Put 3, -0.1, -0.3, f in ascending order.\nAnswer: f, -0.3, -0.1, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1893 = -8*n + 659. Is n a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(g) = g**3 + g**2 - 7*g + 5. Let k be l(3). Solve 5*n = 45 - k for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -8*c**3 - 23*c**4 + 8*c**3 + (-3*c**2 + 3*c**2 + c**2)*(4*c**2 - 4*c**2 + 2*c**2) in the form s*c + v + o*c**3 + h*c**4 + d*c**2 and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0186244224 rounded to four decimal places?\nAnswer: 0.0186","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t + 5. Let h be v(6). Let n = -361 + 356.97. Let x = n - -0.03. What is the third biggest value in x, 4\/7, h?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) be the second derivative of -2452*h**5\/5 + h**3\/6 - 39*h**2 - 12548*h. Find the second derivative of q(t) wrt t.\nAnswer: -58848*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 - 6 + 6)*(490 - 3*o**2 - 4*o**2 + 9*o**2) to j + s*o**2 + w*o and give s.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -3 or -7.13277?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 222033 (base 7) in base 12?\nAnswer: 1a786","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -431?  (a) -2  (b) 1  (c) -2\/271  (d) -1\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(-1)\/v*v)\/(v**(-3)\/v))**5 assuming v is positive.\nAnswer: v**15","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:42 AM and 9:57 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -65 + 64. Let z be -1*(1\/i)\/(-5). Let v = -1\/21 + -37\/105. Which is the closest to 0.3?  (a) v  (b) -2  (c) z\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8.95 - 8.45. What is the fourth smallest value in -1\/13, u, -3, -2?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -12 - (16 - 37) - 43?\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -10*((-6)\/(-27) + (-5)\/(-18))?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 48 - 67. Suppose -6*o + 276 = -2*o. Let h = d + o. List the prime factors of h.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -3763 - -1675. Let y = -577 - t. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 98 - 2 - (89 + (70 - 113))?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 2*h**3 + 127*h**2 + 431*h + 652. Determine r(-60).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 + -356250)*(-8)\/3. Round q to the nearest one hundred thousand.\nAnswer: 1000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 2*u**4*w**2 - 9*u**3*w**3 + u**2*w**3 + 37*w**3 wrt u.\nAnswer: 48*u*w**2 - 54*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 6*i**2 - 12*i + 6. Let f(h) = h**2 - h. Let x(t) = 5*f(t) - u(t). Calculate x(7).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 60494 to the nearest 100.\nAnswer: 60500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence laql when four letters picked without replacement from {l: 2, q: 1, a: 4, b: 2, s: 3, i: 2}?\nAnswer: 1\/3003","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.225488 take away 0.5?\nAnswer: -0.274512","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) be the first derivative of -w**2\/2 - 12*w + 11. Determine y(-6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 98*m**2 - 484*m**2 - 147*m**2.\nAnswer: -533*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2083846.\nAnswer: 2, 23, 89, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -8*g - 1. Suppose c - 1 + 3 = 0. Calculate j(c).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -772, -589, -406, -223?\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.95 take away -3?\nAnswer: 3.95","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3681225?\nAnswer: 3, 5, 16361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 - 2 = -3*x. Suppose 3*n + x*n = 170. Suppose -4*p - n + 1 = -z, -5*p = -4*z + 99. What is the tens digit of z?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 60 + 3*x + 6696*x**2 - 60 - x - 3151*x**2 - 3069*x**2.\nAnswer: 476*x**2 + 2*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 51\/5 of a litre in millilitres?\nAnswer: 10200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 13\/((-2860)\/(-568)) - -1*14\/(-77)\nAnswer: 12\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(847) - (sqrt(847) + -1))**2 - (-6*sqrt(21)\/sqrt(3))**2.\nAnswer: -251","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24*n = -76*n - 27040. Calculate the least common multiple of 57 and (-92)\/(-7) - n\/(-455).\nAnswer: 228","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t, 1 n, and 1 r when four letters picked without replacement from {e: 3, r: 10, t: 3, n: 3}?\nAnswer: 15\/646","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3690, 6328, 8966, 11604, 14242, 16880?\nAnswer: 19518","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*t - 12. Suppose -5*s - 24 = -l - 2*s, 4*s - 160 = -t*l. Suppose 748 = -0*u - 4*u + 764. Calculate the greatest common divisor of l and u.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) be the third derivative of -w**6\/420 + 18*w**5\/35 - 243*w**4\/7 - 151*w**2. Factor s(t).\nAnswer: -2*t*(t - 54)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -10 - -17. Calculate the smallest common multiple of j and (2 + -4 - 12)\/(-5 + 3).\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 108685?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 118533565 a multiple of 2283?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 = 67879?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -66*v - 28502 = -72128. Let n = 662 - v. Let l(i) = 6*i + 5. Let x(k) = k. What is n*l(r) - 4*x(r)?\nAnswer: 2*r + 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) be the second derivative of -19*l**5\/10 - l**3\/3 - 19*l**2 - 31*l. Find the second derivative of v(r) wrt r.\nAnswer: -228*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 4*h - 10 = 14, 3*u - 3 = 3*h. Let o(w) = -3*w - 5. Give o(u).\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 2*v = -4*j - 22, -2 = -3*j + 4*v. Let l be (-4)\/(-6)*j\/(-4). Is l bigger than -2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -32\/5*u + 128\/5 + 2\/5*u**2 = 0.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1015*k - 886*k + 2738*k - 870*k.\nAnswer: -33*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-1))**(-19)\/(d*d\/d**(-5)*d**(-3\/4)))\/((d**0\/(d**3\/d*d))\/(d**(-1\/2))**(1\/12)) assuming d is positive.\nAnswer: d**(377\/24)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.1  (b) -2  (c) 0  (d) 1.04  (e) -2\/17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -ae2 - 192?\nAnswer: -c74","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -2*z + 98. Let j(l) = 878*l. What is c(j(n))?\nAnswer: -1756*n + 98","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 82 - 80. Let t(q) be the first derivative of -1\/2*q**d + 0*q**5 + 0*q**4 - 2 + 1\/3*q**6 + 0*q + 0*q**3. What is the second derivative of t(x) wrt x?\nAnswer: 40*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 5397 and 846558.\nAnswer: 771","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 5*q - 13 = 0, 2*h + 3*q = -q - 14. Solve -17 = -u - 4*u - h*b, u + b - 5 = 0 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -f**3 - 6*f**2 - 5*f + 1. Let z be 34\/(-374) - (-442)\/22. Let o be (-4)\/12*(-93 - 0). Suppose 35*x + z = o*x. What is q(x)?\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 41542000 (base 6) to base 5.\nAnswer: 302222041","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/q**(4\/5)*q)\/q**(1\/4))\/(q**(-2\/7)*q)**7 assuming q is positive.\nAnswer: q**(-81\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = 465*v - 930. Calculate a(2).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 18076 or 18109?\nAnswer: 18109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by -15463.\nAnswer: 2\/15463","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -2*p, 2*p - 3*t = -p + 21. Let i = 0.1067 - -188.9933. Let u = -189 + i. What is the biggest value in p, u, -1\/4, 0.6?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 0.06 and 15939981.268374.\nAnswer: 15939981.328374","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (23\/3 - 9) + 22\/3. Which is smaller: 3 or i?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0003018567 to 4 decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*y - y - 24. Let g be (-8)\/y - (-3 + 4). Let o = 0.02 + 2.98. Sort o, -4, g in decreasing order.\nAnswer: o, g, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = 2*g. Suppose 5*y + j = 2*j + 24, -5*y + 5*j = -40. Let v be 18\/8 - 1\/y. Let x(s) = 4*s. What is v*x(i) - 3*k(i)?\nAnswer: 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 68 and 28?\nAnswer: 476","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) be the third derivative of -s**5\/60 - s**4\/3 - s**3 + 931*s**2. Let u(g) = -3*g + 6. Let y be u(4). Determine p(y).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 less than 76819747.58?\nAnswer: 76819751.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 30429.1um to millimeters.\nAnswer: 30.4291","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = 17*w**2 + 36*w**2 - 42*w**2. Let s(o) = 2*o. Give p(s(g)).\nAnswer: 44*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 times -3854764?\nAnswer: 19273820","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (32\/6)\/(27\/81). What is the second derivative of -1330*h**4 - u*h**3 + 14*h - 152*h + 1332*h**4 wrt h?\nAnswer: 24*h**2 - 96*h","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 41 + 17. Let y = z - 33. What is the remainder when y is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (5*g + 0*g - 3*g)*(0*g**3 + 0*g**3 - 2*g**3) + 3*g**4 + 7 + 0*g**4 - 5 to o*g + z*g**3 + h*g**2 + q*g**4 + u and give u.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) be the first derivative of -h**4\/4 + 2*h**3\/3 - h**2 - 2*h + 8. Suppose -4*u + 23 = 5*w, -28*u + 24*u - 2*w + 14 = 0. Calculate y(u).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-5 - 0) + -8 + 16\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**3 - 7*x**2 + 6*x - 2. Let p be a(-8). Suppose 2*d = p + 76. What are the prime factors of d?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve t + 654 = -n + 674, -85 = -2*t - 5*n for t.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13 = -5*u + 5*w + 7, 2*u = -w + 23. Calculate the common denominator of (2 - -29)\/(u\/3) + 0 and (-2)\/(4\/79*-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*j**3\/15 + 452*j**2\/15 - 6586*j\/3 + 253472\/5 = 0 for j.\nAnswer: 48, 89","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-15))\/(3*4\/(-120)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) be the third derivative of 0*l - 8*l**2 - 1\/12*l**5 + 0 + 0*l**4 + 0*l**7 + 0*l**6 + 11\/336*l**8 + 0*l**3. What is the third derivative of d(b) wrt b?\nAnswer: 660*b**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 174 - 108. Let i be (-2)\/10 - u\/(-105). Which is bigger: i or -1?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c - 65 + 45 = 0. Suppose -i + 1 = -5*y - 2, 3*y - i + 3 = 0. Put -2, c, y in decreasing order.\nAnswer: c, y, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 7  (b) -0.2  (c) 2\/3  (d) -0.389  (e) 1.2  (f) -0.3\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the first derivative of 0*f**3 + 1\/3*f**2 - 1\/18*f**4 + 2 + f. Let j(t) be the first derivative of b(t). What is i in j(i) = 0?\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = z**2 + 3*z + 3. Let l be o(-2). Solve -5*w + 4 = -l for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = 18*g + 37. Let z(h) = 15*h + 38. Give -4*j(k) + 5*z(k).\nAnswer: 3*k + 42","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-5*sqrt(136)*-1*-3)\/(4*3*sqrt(200) + sqrt(200) + sqrt(200) - sqrt(200) - sqrt(200)).\nAnswer: -sqrt(17)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -9*y + 33 + 12. Suppose o = y*k - 3*o - 4513, -3*o = 3*k - 2724. Is k prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1622*q + 865*q + 419976 - 109108 = 4257*q for q.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 102 minutes after 2:58 AM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0.45 + -0.4. Let r = s - -0.35. What is the third biggest value in 4, 2, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(v) = -v**2 + 7*v. Let h be r(7). Suppose -4*m - 31 - 17 = h. List the prime factors of 1 + m\/(2\/(-2)).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 5 = 3*a - 19, 4*f - 3*a - 36 = 0. Find the third derivative of 572*b - f*b**2 - 572*b + 13*b**6 wrt b.\nAnswer: 1560*b**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5*m + 5*m + 66*m**3.\nAnswer: 66*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*s**3 - 71321 + 71318 + 0*s**3.\nAnswer: -4*s**3 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -43 + 43. Solve -3*l + l - 6 = a for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 87575 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2161*s**2*v**2 - 8*s**2 + 52168*s*v**2 wrt s?\nAnswer: -4322*v**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*x = 5*x + 140. Let r(v) = x - 30 - 3*v + v. Suppose 0*f - 4 = f. Let h(i) = 2*i - 6. Determine f*h(u) - 5*r(u).\nAnswer: 2*u - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -h + 5*m = -40, m = 4*h - 84 - 0. Let a = -67402 + 67402. Solve 5*x + a*x + h = 0 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*u**4 + 150*u**3 + 156*u**2 - 150*u - 153.\nAnswer: -3*(u - 51)*(u - 1)*(u + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -88113 divided by -1418.\nAnswer: 88113\/1418","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(c) = c + 10. Let n be j(-7). Suppose 1 = -n*g - 20. Let u = g + 12. Solve -2*h = -u*h + 9 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4\/(-142) + -244*8\/11360\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2009374582?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 63226.\nAnswer: 2, 101, 313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 15 + 27. Calculate the remainder when m is divided by 11.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xyyyyxxxxyyyyyyyyyy. What is prob of picking 4 x?\nAnswer: 5\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 192118483?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = -9*l**2 - 46*l + 3. Let h be x(-5). Let m be h\/(-6)*(-90)\/300. Let n be 4\/10 + 356\/10. Is n smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 44188?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 19832?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = -u**3 + 9*u**2 - 8*u + 5. Let o be v(8). Suppose 0*c = o*c - 480. What is the remainder when c is divided by 11?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the first derivative of -c**6\/2 - 19*c**2\/2 - 11. What is the second derivative of p(m) wrt m?\nAnswer: -60*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 + 7a?\nAnswer: 7b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1)\/1 - (2 - (30024 - 2)). Suppose -74960 = -5*u + 5*m, -2*u - b = -4*u - 5*m. Suppose 0*w + i = 5*w - u, -9003 = -3*w + 3*i. Is w a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*f + l = -5*f + 1, 1 = l for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000004285 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = x**3 - 11*x**2 + 1. Let v = -6 + 17. Let s be k(v). Let r(g) = 10*g**2 + g - 1. Give r(s).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -378.9670072 rounded to the nearest 100?\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -34 = 5*z + 116. Let l be ((-4)\/(-6))\/((-4)\/z). Factor 16*j**2 - 5*j**l + 5*j**3 - 16*j**2.\nAnswer: -5*j**3*(j - 1)*(j + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is (-53018)\/(-35) + 8\/(-10) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 15*g**4 + 1445*g**3\/4 + 1495*g**2\/4 - 5*g\/4 - 115\/4 = 0. Calculate g.\nAnswer: -23, -1, -1\/3, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) be the second derivative of 3*i + 1\/6*i**3 + 0*i**2 + 14. Let k(w) = -7*w**2 - 5. Give k(u(p)).\nAnswer: -7*p**2 - 5","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a*a**(-1)*a*a*a**(-9)\/a*a)**(-12)\/(a**(2\/9)*(a\/(a\/(a\/(a\/(a\/((a*a**(-4\/7))\/a)))*a))*a)\/a*a*a**(-2\/7)*a**(-2\/7)) assuming a is positive.\nAnswer: a**(727\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -121223301 - 112302?\nAnswer: -122002203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Convert -495 (base 12) to base 4.\nAnswer: -22301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -200 = 10*s + 20. What is the remainder when 36 - 0 - (-25 - s) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -17.4 + 17.6. Let d = 0.1 + -0.2. Suppose 4 = -6*b + 10*b. What is the closest to d in h, -2\/3, b?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(102)*3 + sqrt(102))\/((sqrt(96)\/sqrt(4))\/sqrt(12)))\/(1*sqrt(972) + (sqrt(12) - (sqrt(12) + sqrt(192))*3)) + -4.\nAnswer: -4 - 7*sqrt(17)\/10","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(171) - (sqrt(171) + (sqrt(171) - 4*(sqrt(171) + -2*sqrt(171) + sqrt(171)) - sqrt(171)) + sqrt(171)))\/(-2*sqrt(36)).\nAnswer: sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.5 - -1.9. Let n = b + -1.6. What is the second biggest value in 4, 0, n?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 28.64 + -25.7. Let h = -0.06 - v. What is the closest to -0.1 in -4, -0.3, h?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1009389 to the nearest integer?\nAnswer: 100","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 18 + -18 - ((-2 - -4) + -3). Solve b = -x + 6 for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.1 in 3\/2, 49, -2\/19, -7, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.7 minus 1.3114?\nAnswer: -3.0114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = -464*d + 28532. Calculate s(61).\nAnswer: 228","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 1978068 or 1977990?\nAnswer: 1978068","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -n - 7. Calculate d(-10).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = -2*v**3 + 8*v**2 + 2*v + 10. Let i(x) = -x**3 + x**2 - 1. Let k(b) = c(b) - 3*i(b). Let n be k(-5). Solve 5*r + 13 = -2*p, -3*p = -n*r + 7 + 2 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 58 divide 901628748?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 77*a = 86*a - 171. Let j = -485 - -901. What is the remainder when j is divided by a?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1181, -1180, -1181, -1184, -1189?\nAnswer: -1196","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 3234, 3204, 3170, 3144, 3138, 3164, 3234?\n\"Answer: 2*s**3 - 14*s**2 - 2*s + 3248","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -50\/13 or -1.2?\nAnswer: -1.2","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 183598 is divided by 2141?\nAnswer: 1613","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w = 5*i - 5102, -6*w + 5*w = -3*i + 3064. What is the tens digit of i?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = y**3 + y - 18. Let k be h(0). Let d(l) be the second derivative of l**5\/20 + 19*l**4\/12 - 3*l**3\/2 - 19*l**2\/2 - 27*l. Is d(k) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 7\/(7\/(-3)) - -5. Calculate the smallest common multiple of (-5)\/10*(-30 - n) and 18.\nAnswer: 144","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the first derivative of 2*g**3\/15 - 939*g**2\/5 - 5230. Determine l, given that w(l) = 0.\nAnswer: 0, 939","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a gram in micrograms?\nAnswer: 50000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 17818331 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 379255 to the power of 1\/2, to the nearest integer?\nAnswer: 616","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 8\/9*(-27)\/(-6). Let a(u) be the third derivative of 7*u**5\/30 - u**4\/6 + u**3\/2 + u**2. Is a(o) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 19 - 17 - (-2 + 2)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*i**2 - 40*i + 100.\nAnswer: -5*(i - 2)*(i + 10)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -3, 167, 1, 7 in increasing order.\nAnswer: -3, -1, 1, 7, 167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -414070, -414080, -414094, -414112, -414134, -414160, -414190?\n\"Answer: -2*m**2 - 4*m - 414064","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((c**(1\/3))**(-32\/3)*c**(1\/5)*c**(-1\/2)*c)**(-6\/11))**(3\/2) assuming c is positive.\nAnswer: c**(257\/110)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 19 - 11. Suppose -4 = -3*d + a. Suppose -d*t + 2*f + 40 = 0, 2*t - 2*f - 20 = -0*t. What are the prime factors of t?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -12018, -12846, -13674, -14502, -15330, -16158?\nAnswer: -16986","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x + 2*q - 18 = -q, 0 = 4*q + 16. Suppose -x*w = -w - 5. Let v be (12\/64)\/(2*3). Are v and w non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor x**3\/7 + 9542513*x**2\/7 + 22764883817535*x\/7 - 22764893360049\/7.\nAnswer: (x - 1)*(x + 4771257)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 31051037543 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - b = 3*n - 12, -4*b = -4*n + 16. Suppose -2*u - 15 = -6*w + w, w + 5*u - 30 = 0. Let y(x) = 1 + w - 3 - x**2. What is y(b)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find y, given that y**4 - 222*y**3 + 17544*y**2 - 564128*y + 5659776 = 0.\nAnswer: 18, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -3 and 200448?\nAnswer: 200451","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert -120364 (base 10) to base 9.\nAnswer: -203087","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 3992028523 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -579 + 579 - 9*a**2. Let h(r) = -3*r**2. Give v(h(g)).\nAnswer: -81*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-20)\/8 - -1)*(1 - 11). Let g be (0*(-3)\/o)\/(-2). Solve g*a**3 + 0*a**2 + 0 + a**5 + 0*a - 2\/3*a**4 = 0 for a.\nAnswer: 0, 2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1886?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0 + 0 + 4 + -6. Suppose a - 22 = 4*x, 5*x = -4*a - 52 + 14. Is 12 a factor of ((5 + f)\/3)\/(x\/(-252))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 16*x**5 - 3*x**3 - 359*x?\nAnswer: 320*x**3 - 18*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p*p**(2\/9))\/((p*p*p\/p**(-2\/5)*p)\/p)*(p\/((((p**(-1\/8)\/p)\/p)\/p)\/p)*p)\/(p**4*p) assuming p is positive.\nAnswer: p**(-19\/360)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 3590760 to the power of 1\/5, to the nearest integer?\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = -2*w. Let a = -28 - -225\/8. Let m(r) be the third derivative of 0*r**3 + 0 + a*r**4 + 2*r**2 + 0*r. Determine m(h(z)).\nAnswer: -6*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 49544?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 29 - 29 + 2*i + (2*i + 0*i - i)*(0 - 8 - 15) to the form s + d*i and give d.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 466265700 divided by 298\nAnswer: 1564650","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let d(f) = -4*f - 1175. Let y(v) = v + 294. Give -2*d(t) - 9*y(t).\nAnswer: -t - 296","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 69340?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence llw when three letters picked without replacement from {h: 2, l: 2, n: 4, w: 1}.\nAnswer: 1\/252","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -y**3 - 7*y**2 - 3*y - 4. Let h be b(-7). Let t = 73 - h. What are the prime factors of t?\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-9)\/(-3) + 0 - 8. Let c = x - -20. Is 4 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p - 2*q = 6*p + 310, -186 = 3*p - 4*q. Let i = p - -102. Let l be (-3)\/9 + ((-66)\/(-9) - 2). Calculate the highest common factor of l and i.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-1086)\/(-12) - 1\/2. Suppose 8*f = 5*f + m. Is 5\/(-2)*(-624)\/f a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h\/h**(-1)*h*h**7)\/((h\/((h**9*h)\/h))\/(h**(-7)\/h)) assuming h is positive.\nAnswer: h**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -544*m**2 + 443.\nAnswer: -1088*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -903993*s**3 - s**2. Let x be r(-1). Suppose -29774436 = -11*i + x. Let n = -5588948 + i. What is n rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -2565236 + 17765241. Suppose -a = -4*d - q, 5*d - a = 4957361 - 23957366. Round d to the nearest one million.\nAnswer: -4000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 849\/26319 - (-73)\/(-341) - (-510)\/22?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -2.07627749 and 234044.\nAnswer: 234041.92372251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 39851.928 minus -1.7?\nAnswer: 39853.628","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-125)\/100 + (-13)\/(-4). What is the hundreds digit of (-2 - -636)\/g + (-6)\/2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -10334 - 5133. What is b rounded to the nearest one hundred?\nAnswer: -15500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (9 - 3) + -2 - -2. Let w(a) = -a**2 + 7*a - 9. Let i be w(x). Let z(y) = y**2 + 2*y - 1. Calculate z(i).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -294 = -4*a - 3*c, -c + 298 = 3*a + a. What are the prime factors of a?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -r**3 - 3*r**2 + 2*r - 2. Let n be t(-4). Suppose n*w - 9*w = -12. Which is the second biggest value?  (a) 1\/10  (b) w  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 2, h: 18}. What is prob of sequence hh?\nAnswer: 153\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 70144507 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2)\/8*(20\/238)\/(1684\/47152).\nAnswer: -10\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 3108615847 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 326005?  (a) -1  (b) 1\/3  (c) -2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be -1 + 7 + -1 + 3. Let i = -6 + d. Solve i*x + 15 = 5*x for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:22 AM and 7:40 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 103780417 to the nearest integer?\nAnswer: 10187","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m + 1. Let c(q) = -4*q - 8. Let y(h) = c(h) + 6*j(h). Determine y(5).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11641*b = 11636*b - 150 for b.\nAnswer: -30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**2 + 6*r + 4. Let i be j(6). Suppose 5*u = 0, -i*u = -2*g + u + 4. Suppose g*m + m + t - 36 = 0, 2*m = 4*t + 24. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00031505 rounded to five dps?\nAnswer: -0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = o - g, -2 = -5*o - 4*g + 9 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 20, 58, 130, 242, 400?\n\"Answer: j**3 + 11*j**2 - 2*j + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 10 = 5*m, m + v = 1 + 6. Let w(d) = -2*d - d + 4*d + 2 + 9*d. Let z be w(m). Calculate the highest common divisor of z and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*z - 12 - 32. Let q be (3 - z\/6)\/((-5)\/3). Which is the closest to q?  (a) 6  (b) 5  (c) 2\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -13653675*r**3*s - 3*r**3 + r**2*s + 439*r**2 - 3347*r*s - 4*s - 1 wrt r?\nAnswer: -81922050*s - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*n + 963 = -36*n. Let j = n - 303. Suppose 2*d = 82 + 98. What is the greatest common divisor of j and d?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -808\/3 at least -270?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = 202457*j - 1. Let v(k) = 9*k. Give c(v(y)).\nAnswer: 1822113*y - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 9600603 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -2*s + 4. Let t = 144 + -88. Let u = 57 - t. What is the nearest to 0.1 in 0.1, u, s?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*u + 57*u**3 - 20*u**2 - 52*u**3 + 5 + 15.\nAnswer: 5*(u - 4)*(u - 1)*(u + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) = 0*c - c + 4 - 13. Suppose 5*o = d - 26, 4*d - 9 = 4*o - 1. Determine p(o).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 divided by -274896?\nAnswer: -1\/34362","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 420018.\nAnswer: 2, 3, 70003","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -9132.3 rounded to the nearest one hundred?\nAnswer: -9100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.13 + -5.13. Let l be 7 + (-10 - (-54)\/16). Suppose 0 = h - 4*t - 5 - 8, -2*t - 6 = 0. Sort x, l, -6, h in ascending order.\nAnswer: -6, x, l, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 149.13069 months?\nAnswer: 12.4275575","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v be -10*1*4\/8. Let n(j) = -j**3 - 3*j**2 - 4*j - 53. Let l(u) = 2*u**2 + u + 1. What is the remainder when n(v) is divided by l(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.3, 54\/7, 1.\nAnswer: -0.3, 1, 54\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*r**2 + r**2 + r**2)*(0 - 116*r + 42*r + 8).\nAnswer: 148*r**3 - 16*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 8, -5, -2, 3 in descending order.\nAnswer: 8, 3, 1, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (sqrt(832) + -4*(sqrt(832) + sqrt(832) + -2*sqrt(832)) - (4 + (sqrt(1573) + sqrt(1573) + 0 + sqrt(1573) + sqrt(1573) - sqrt(13))))**2.\nAnswer: 280*sqrt(13) + 15940","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 80\/(-24)*(11\/11)\/(2\/(-6)).\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -58*l + 116*l - 56*l. Let f(q) = 0*q**2 + q**2 - 2*q**2 + 0*q**2. Determine w(f(s)).\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00023286 to five dps.\nAnswer: -0.00023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {s: 3, x: 2, e: 1, c: 4, z: 6}. Give prob of sequence zx.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 118, 0, 3761 in descending order.\nAnswer: 3761, 118, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:36 AM and 6:38 AM?\nAnswer: 2","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 700 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -2335, -3999, -5655, -7303?\n\"Answer: 4*f**2 - 1676*f - 663","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -1341022 - 67?\nAnswer: -1341111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 4 + 120095a9?\nAnswer: 12009602","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(175) - ((sqrt(175)*3 - sqrt(175)) + 2 + sqrt(175) - sqrt(175)))**2 + 0 - (((sqrt(14)\/sqrt(2)*-6)**2 - sqrt(7)) + sqrt(7) + 1)*5.\nAnswer: -1086 + 20*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:31 AM and 4:42 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 40, -4, -128, 5 in descending order.\nAnswer: 40, 5, 4, -4, -128","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gvgggvgvvvvgvg. What is prob of picking 4 v?\nAnswer: 5\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dwdwwddwdzdzddwd. Give prob of picking 2 w.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -11 = 5*c + 2*g, 0 = -13*c + 18*c - 5*g - 10 for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 40606313?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6*(20\/40)\/(6\/16). Suppose -3180 = -b*o - 45*o. What is the lowest common multiple of o and 108?\nAnswer: 540","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = 2*a**3 - 6*a**2 + 28*a - 177. What is t(5)?\nAnswer: 63","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = -11*l**2 - 318*l + 2616. What is v(8)?\nAnswer: -632","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 115*u**2 + 323*u - 9. Let y be w(-4). What is the greatest common divisor of 22 and y?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(t) be the first derivative of -t**5 - 15*t**4\/4 - 5*t**3\/3 + 15*t**2\/2 + 10*t - 65. Factor b(y).\nAnswer: -5*(y - 1)*(y + 1)**2*(y + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = x**2 - 5*x - 147. Let z be y(-10). Solve 3*t - 3*u = -2*t - 34, 24 = -3*t + z*u for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -19972, -18157, -16338, -14515, -12688?\n\"Answer: 2*o**2 + 1809*o - 21783","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(3*sqrt(208))**2.\nAnswer: -7488","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 93 - 669 = -38*j. Solve -15*z + j*z = 3*h + 10, -5 = 4*z - 3*h for z.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8609.0376 rounded to the nearest one thousand?\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = t**3 - 15*t**2 + t + 25. Does 5 divide j(15)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -45 = -2*f - w, -4*f + 36*w - 37*w = -83. Solve -f = -m - 19 for m.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0145794 + 0.4.\nAnswer: 0.3854206","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 1420420, 1420424, 1420428, 1420432, 1420436?\n\"Answer: 4*b + 1420416","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 50158749 to the power of 1\/2, to the nearest integer?\nAnswer: 7082","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = -3*g + 20. Suppose -3*s + 2*b + 5 = 0, 2*b = -g*s - 2*b + 17. Put 5, -2\/3, s, -5 in ascending order.\nAnswer: -5, -2\/3, s, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 521552074?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is (-1088)\/(-8) - 3\/1 a multiple of 19?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -v - 6. Let m be w(-5). Let x be ((-6)\/(-45))\/(m\/(-410)). Let n = 53 - x. What is the biggest value in 3, n, 0.2?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 11187178 divided by 41.\nAnswer: 272858","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((-11)\/3)*4\/(-6)?\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 159 + -2387\/15. Suppose d = -2*y - 7 - 0, -23 = -2*y + 5*d. Which is the second smallest value?  (a) 2\/15  (b) j  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -79122, -157681, -236240, -314799, -393358?\nAnswer: -471917","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (12\/(-30))\/((-308)\/110)*24.\nAnswer: 24\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-1)\/6)\/(51\/(-153))*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = 73*j + 283. Let p(u) = 48*u + 189. Let s(k) = 8*p(k) - 5*x(k). What is the derivative of s(m) wrt m?\nAnswer: 19","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) be the third derivative of -4*i**5\/15 + 2*i**2 - 1014*i. Let b(k) = 2*k - 32. Give w(b(v)).\nAnswer: -64*v**2 + 2048*v - 16384","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*z**4 + 2*z**3 - 5*z**3 + 2*z**3)*(-10 + 5 - 5).\nAnswer: -20*z**4 + 10*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1 times -5301035\nAnswer: -5301035","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 14288?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 137\/1065 + 1\/213. Let f = -16\/45 + z. Which is the closest to f?  (a) -5  (b) -4  (c) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 1308314 and 56.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 199*h*u**4 - 340*h*u**2 + 2*h - 15*u**4 wrt u.\nAnswer: 4776*h*u - 360*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = 10*v - 117. Let f be i(12). Solve f*p - 7 = -4*p for p.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 3319, 13281, 29877, 53101, 82947?\n\"Answer: -o**3 + 3323*o**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express 668*s**3 - 667*s**3 - 2*s + 3*s**4 + 0 + 3 in the form c + r*s**2 + z*s**4 + n*s + o*s**3 and give r.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x + 6 = 3*u - 2, -u - 2*x = -1. Suppose -r - 8 = -p, -p - u*r = -2*p + 14. Solve p*k - 27 = -4*z, 2*z - 3*k = z - 6 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from mzumzmmuummuzzmu. Give prob of sequence umm.\nAnswer: 1\/16","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 19 = -1, 0 = -3*n + 3*o - 84. Let r = 34 + n. List the prime factors of r.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = 10*d + 2. Let k(g) be the third derivative of g**2 - 1\/8*g**4 + 1 - 1\/6*g**3 + 0*g. Determine -7*k(h) - 2*l(h).\nAnswer: h + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*n - 15859 = 293. What is the thousands digit of n?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 3\/7  (b) -0.1  (c) 0.4  (d) 1  (e) 286  (f) 13258\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = z**2 - 10*z + 10. Let h(j) = -j**2 - 12*j + 22. Let v be h(-9). Suppose 19*t = 12*t + v. Determine p(t).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(c) be the second derivative of c**5\/20 - 7*c**4\/12 - 7*c**3\/6 - c**2 - 4*c. Let g be q(8). What is the remainder when 31 is divided by (-21)\/g*(-72)\/14?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 51957 to the nearest integer?\nAnswer: 228","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 161918380 divided by -58370.\nAnswer: -2774","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 1\/3 + 64\/(-12). Let x = 10.95 + -11. Let t = -3\/71 + 86\/355. Sort x, t, v in increasing order.\nAnswer: v, x, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = -n**2 - 4*n + 2. Let x = -20590 - -20593. Let l(u) = 5*u - 2. Give x*q(p) + 2*l(p).\nAnswer: -3*p**2 - 2*p + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-618 + 14*w - 48*w + 622)*(3*w**2 - 3*w**2 + 2*w**3) + (-4*w + 3*w - w)*(-2 + 2 + 4*w**3).\nAnswer: -76*w**4 + 8*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 1876 divide 43863728?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2511 + 2515. Solve 3*q - q - 16 = l*t, 0 = -3*t - 2*q + 2 for t.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -906*q - 18140 = 102*q - 101*q for q.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {h: 1, r: 1, k: 16}. Give prob of sequence kkk.\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1056, -1052, -1048, -1044?\nAnswer: -1040","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3 and 1417.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 454 - 97. What are the prime factors of v?\nAnswer: 3, 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 539907789 is divided by 290?\nAnswer: 289","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 570776099 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((2 + sqrt(704)*-3)*3)**2 + 1*(sqrt(704) + -3)*-4 + -3.\nAnswer: -896*sqrt(11) + 57070","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-37)\/(-7) + 3*10\/(-105). Solve 28 = -2*l + l - 5*f, -v*f = 25 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 204 is divided by 192?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let f(l) = 3*l + 50. Suppose -28 = 20*p - 22*p. Does 16 divide f(p)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -700548*i**3 - 700548*i**3 + 1401100*i**3.\nAnswer: 4*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s - 8*w = -4*w + 536, -3*s + w = -789. Let q = s + -261. What is the greatest common divisor of q and 7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*g + 16 = -5*v - 28, -3*v - 55 = -4*g. Suppose -3*c + 4 = 2*k, -3*c - 5 = 4*k - g. Solve -2*o - 6 = 0, 2*h - 2*o + 4 = -c for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 3 + (-4 - -6) - 2556\/(-9). Let s = g + -214. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -60.278365 to the nearest integer.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/260827 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -17 + 20. Suppose 3*v + 0*f - 5*f = 80, -3*f = d. Solve -x = -2*x + 2*l + 5, -5*x = -2*l - v for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -13*z + 58. Suppose -4*u + 48 = 2*q, -z - 6 = -5*q. Solve 4*k - k + 3*d = 15, -5*k = -2*d - u for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*k + 20 = 2*k - 2*w, 4*w = -12. Suppose -4*d + k + 1 = 0. Suppose d*n - 4 = 0, 2*n + 37 = 3*r - 1. Is r prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 46119?\nAnswer: 3, 15373","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -3*a**5 - 55590*a**4 - 55572*a**3 + 277926*a**2 - 166761*a = 0. What is a?\nAnswer: -18529, -3, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-356)\/18 + (-34)\/153. Let i(j) = 6*j**2 - 1. Let x be i(2). Let a = c + x. Solve a*q + 9 = -0*q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 208 + -212. Let t(d) = -d**3 - 4*d**2 - d. What is the lowest common multiple of 2 and t(p)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cac when three letters picked without replacement from aazcacczzcaaccs?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = i**2 - 9*i - 3. Suppose 2*n + n = 15. Suppose -n*c = -10*c + 50. Is l(c) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-5*(-8)\/120)\/(1\/12). Let j be (-4)\/(-2 - -1) + 0. Suppose -108 = -4*c - j*a - 12, -2*c = -3*a - 68. What is the greatest common divisor of c and g?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 51 + -2?\nAnswer: 4a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 minutes after 8:46 AM?\nAnswer: 9:26 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/(-3) + (-8)\/(-24).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 208 from 101.\nAnswer: -107","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*t = -3*w + 26, 5 - 3 = -t. Suppose 5*y - 24 = 9*s + 68, -3*s = -2*y + 35. Which is bigger: y or w?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -225862*x**2 + 1912*x**3 + 225862*x**2 - 3795*x**3 + 1885*x**3.\nAnswer: 2*x**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 11513 and 1588?\nAnswer: 46052","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -26477 or -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -3\/140, -381, -1\/3?\nAnswer: -381","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the second derivative of 5*i**9\/9072 - i**8\/420 + i**7\/280 - i**6\/540 + 13*i**3\/6 - 11*i. Let p(r) be the second derivative of y(r). Factor p(z).\nAnswer: z**2*(z - 1)**2*(5*z - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -138 + 140. Is 10\/6*2307 + b composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2 - -2. Let f = -163 - -147. Let j = 16.1 + f. Put 2, j, o in descending order.\nAnswer: 2, j, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (5*6\/75)\/((-7)\/(-245))?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 8 + 3 + 4*q**4 + (2*q - 2 + 2)*(2 - 2 + 5*q**3) - 4 + 4 + q**4 + (0*q**3 - 4*q**3 + 6*q**3)*(-q + 0*q + 0*q).\nAnswer: 13*q**4 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1536120 and 1224.\nAnswer: 1224","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 742 = -1540*g + 289*g + 8248. Let i(l) be the second derivative of -l**5\/20 + 5*l**4\/12 + 5*l**3\/6 - 3*l**2\/2 - l. What is i(g)?\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) be the first derivative of -111*x**4\/4 + 83*x**2 + 76. Find the second derivative of b(d) wrt d.\nAnswer: -666*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 66 + -43. Suppose 4*p + y = 3*q, 2*p + 3*q = q - 8. Let u = 26 - p. What is the tens digit of u?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (5180\/74 - 17) + -58.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 714\/(-36) + 26\/(-117)*(-6)\/(-8)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose n + 44 = 5*n. Suppose 5 = 4*s - n. Let r = 88 - 82. What is the lowest common multiple of s and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) be the third derivative of -7*p**6\/30 + 7*p**3\/3 - 46*p**2. Find the first derivative of z(i) wrt i.\nAnswer: -84*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t - t + 2*t)*(-34 - 34 + 106)*(2 + 1 - 1)*(3*t + t - 2*t).\nAnswer: 152*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 1596 and 2316.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence um when two letters picked without replacement from uuuzmdizu.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/7?  (a) 9  (b) 3  (c) 1\/6  (d) 2\/51\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5\/(-2)*((-31046)\/10 - 11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor s**4\/3 - 2*s**3 + 3*s**2.\nAnswer: s**2*(s - 3)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-7 - -8) + (-1 + -9 - -4)?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a = -5*d + 246 + 1144, 3*d - 850 = -5*a. List the prime factors of d.\nAnswer: 5, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -444 + 0.26429\nAnswer: -443.73571","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -14028 * -76\nAnswer: 1066128","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.8600031 - 2.86. Round l to six decimal places.\nAnswer: 0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = -p**2 - 5*p + 8. Let z be 61*(-2)\/2 - -2. Let k = -42 - z. Calculate the least common multiple of x(0) and k.\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -15126 divided by 6\nAnswer: -2521","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 minus 69.88?\nAnswer: -68.88","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -47 - -46.968. Let c = h + -2.968. Let u be ((-3)\/(-10))\/(6\/(-5)). What is the closest to 1 in -2\/7, u, c?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17265?\nAnswer: 3, 5, 1151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -8645, -8669, -8763, -8963, -9305?\n\"Answer: -6*d**3 + d**2 + 15*d - 8655","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**3 - 16*y**2 - 1103*y - 2506. Calculate d(43).\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is -1101010110011 (base 2) in base 16?\nAnswer: -1ab3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 25215 and 5043.\nAnswer: 25215","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the third derivative of -1\/24*u**3 - u**2 + 0 - 1\/48*u**4 - 1\/240*u**5 + 0*u. Factor y(d).\nAnswer: -(d + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 a and 2 n when three letters picked without replacement from nffknfkadnknnf.\nAnswer: 5\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 84.23 + -84.2348568. Round o to four dps.\nAnswer: -0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yfdy. Give prob of picking 1 y, 1 d, and 1 f.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (1 - (-1 - 0)) + 2. Let i(m) = -m**2 + m + 1. Let p(f) = 2*f**3 + 4*f**2 - 4*f - 4. What is s*i(r) + p(r)?\nAnswer: 2*r**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 903732 divided by -54?\nAnswer: -150622\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 5220 a multiple of 116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*m = 11*m - 29. Let v = 22 - 17. Let c = v - m. Calculate the remainder when 101 is divided by c.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 17742 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 29.9 + -30. Suppose -m = -2*m + 5. Let k = -2 + m. Put -2\/15, i, k in increasing order.\nAnswer: -2\/15, i, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 v and 1 e when two letters picked without replacement from vwbeveebbbbv?\nAnswer: 3\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -13\/265 and 58\/9911.\nAnswer: 49555","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-81)\/(-3) + (-1)\/(-1). Suppose 4*x - 58 = -3*d, 2*x + 3*d = d + q. Is 7 a factor of x?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (sqrt(2700) - 4*sqrt(2700)) + sqrt(2700) - (-5 + -1 + sqrt(108)))**2*-6.\nAnswer: -78558 + 3960*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = 8842*p**4 - 7*p**2 - 2436. Let z(a) = 8843*a**4 - 8*a**2 - 2437. Let x(n) = 8*d(n) - 7*z(n). What is the derivative of x(t) wrt t?\nAnswer: 35340*t**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -19 + 28 + 148*h + 8 - 141*h + 22. Let g be 6\/18 - (-20)\/3. List the prime factors of v(g).\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -18 - 524532*g + 18.\nAnswer: -524532*g","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/8 + (-403)\/(-4). Calculate the greatest common factor of 40 and s.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-4)\/68)\/((6\/(-33))\/(20\/(-275)))?\nAnswer: -2\/85","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*w + 21 = w. Suppose -y + w = 4*l, -3*y - y = 4*l - 16. Solve 4*b = -2*s + 9*b + 24, -y*b - 6 = 3*s for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -23 + 27. Suppose 0 = 3*t + q*t - 91. What is the second derivative of f**4 - t*f**3 + 30*f**3 - f - 17*f**3 wrt f?\nAnswer: 12*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4\/8*22 - 5661\/510.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = u + 4. Let o be g(0). Suppose -r + 5*s = -o*r + 59, r + 4*s - 22 = 0. Suppose -r*k + 11*k + 1204 = 0. What are the prime factors of k?\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 32\/10*2465\/(-8874)?\nAnswer: -8\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -1\/9910470 and 41\/12466?\nAnswer: 9910470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 168662336?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2334 is divided by 16.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 17792 a multiple of 32?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 6, -2*g - 1080 = -z + 389. Let h = 144253\/98 - z. Find the common denominator of -51\/8 and h.\nAnswer: 392","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(i) = i**2. Let g(u) = -2 + 2*u + 2. Calculate g(f(h)).\nAnswer: 2*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -4 + 1 + (5 + 0 - 6)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 2  (b) 2\/15  (c) -13\/2  (d) 19630\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is (80\/(-30))\/(5\/(6*6\/(-12)))?\nAnswer: 8\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 23*o - 13*o - 2*o**2 - 10*o. Let p(i) = 2 - 4*i**2 + 14 - 2*i**2 - 16. Determine f(p(g)).\nAnswer: -72*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*s + 3*s - 5*s)*(-3*s + 3*s + 3*s**2) + 3*s**3 - 21*s**3 - 44*s**3 - 12*s**3.\nAnswer: -71*s**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in one fifth of a tonne?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 6*m**2 + 3. Let o(w) = -6*w**2 - 2. Calculate 3*f(y) + 4*o(y).\nAnswer: -6*y**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Convert 295558 (base 10) to base 11.\nAnswer: 19206a","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 26*x - 14. List the prime factors of v(4).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*z + 20, -2*z - 22 - 1 = -5*s for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = 47*t**2. Let n(d) = -711*d**2. Let y(v) = -3*n(v) - 45*q(v). Let o(x) = 4*x + 8. Calculate o(y(i)).\nAnswer: 72*i**2 + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25173.\nAnswer: 3, 2797","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 r, and 1 a when three letters picked without replacement from {f: 2, b: 1, a: 1, r: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) = -l**2 - 1458*l + 325840. What is i(197)?\nAnswer: -195","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33475*l**4 + 937315*l**3 - 6795845*l**2 + 5894645*l - 2640 = 0.\nAnswer: 3\/6695, 1, 11, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 35 divide 5740?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) = -3*g**2 - 5*g - 3. Let w be h(-1). Let r be (1 + (2 - 3))*w\/(-2). Solve r = -6*u + 2*u + 20 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w**5\/12 + w**4\/2 + 2*w**3 - 77*w**2\/6 - 45*w\/4 + 75 = 0. Calculate w.\nAnswer: -4, -3, 3, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 5.7 - 6. Suppose -t - 5*x - 10 = 4*t, 0 = 5*t - x + 16. Let n be 2\/15*-5*t\/2. Which is the smallest value?  (a) n  (b) z  (c) -3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = z**2 - 8*z + 7. Let i be w(7). Suppose -5*r + 22*r - 85 = 0. Solve l - 5*l - 16 = -2*k, i = -r*l - 15 for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -30 at least -123\/4?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) = 10*k**2 + 10*k + 1. What is the hundreds digit of u(3)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (18\/9)\/((-2)\/(-5)). Suppose -13*t + 66 = -2*t. Solve -f*n = -4 - t for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 595227755?\nAnswer: 5, 29, 4105019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 639 = -4*h, -h = -3*b - 803 + 2681. Suppose 7125 = -15*u + 3*u + 137*u. Calculate the highest common factor of b and u.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -25937\/323 or -81?\nAnswer: -25937\/323","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 10100101100 + -110011011011000?\nAnswer: -110000110101100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -36*b**3 - 5*b**2. Let s(z) = 1333*z**3 + 186*z**2. What is 5*s(a) + 186*t(a)?\nAnswer: -31*a**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -2*((-32923)\/(-35772) + (-2)\/(-16)). Let c = a - -2\/271. Find the common denominator of -61\/6 and c.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of g*w**6*y - 267*g*w**3 - 6*g*w**2*y + 9*y wrt w.\nAnswer: 120*g*w**3*y - 1602*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25005551 is divided by 46.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 8931 - 8928. Let v(b) be the second derivative of 3*b + 0 + 1\/2*b**2 + 1\/3*b**h. Give v(-4).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 5*f - 3*y - 23, 5*y - 7 + 7 = 2*f + 17 - 11 for f.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is -7e (base 16) in base 12?\nAnswer: -a6","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 16b6 (base 14) to base 6.\nAnswer: 30520","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -12000 + 21112210010?\nAnswer: 21112121010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 450, 910, 1376, 1848?\n\"Answer: 3*t**2 + 451*t - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 11346926 to the nearest integer?\nAnswer: 225","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -15 - -13. What are the prime factors of (v - -1)\/((-2)\/122)?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the third derivative of -43*y**5\/60 - 3*y**2. Let u(l) = -946*l + 0 + l**2 + 946*l + 0. Give u(q(p)).\nAnswer: 1849*p**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(-12)*2*(-40)\/25.\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 62700998?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = 1 - 4*q + 2*q - q**2 + 4*q. Let o be k(3). Let j = 40 - o. What is the tens digit of j?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -18975 times 0.1749\nAnswer: -3318.7275","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = 16*u - 9. Let d be w(1). Let r(s) = -4*s + s**2 + s - d + 4*s**2 + 4*s - s**3. Let f be r(5). Let m(p) = -9*p + 1. Determine m(f).\nAnswer: 19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -111, -341, -891, -1887, -3455, -5721?\n\"Answer: -21*x**3 - 34*x**2 + 19*x - 75","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 45353 (base 9) to base 16\nAnswer: 75e4","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1122819?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -332.6 + 333. What is the smallest value in -0.2, 22, i?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nc when two letters picked without replacement from ncnnccnccc?\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*(-5 + 2*(sqrt(432))**2 + 2*sqrt(108) + -2).\nAnswer: 48*sqrt(3) + 3428","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000804458 to six decimal places.\nAnswer: -0.000804","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24 = 3*v + 9*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 356916419 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express (-20 - 25 + 0)*(13 + 11 - 2)*(-2*y - 2*y + 3*y) in the form t + v*y and give v.\nAnswer: 990","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in eleven tenths of a century?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 20785208?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 954.\nAnswer: 2, 3, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1978878 divided by 29983.\nAnswer: 66","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*q - q**5 - 3*q + (0 + 6 - 4)*(-2*q**5 + 4*q**5 + 0*q**5) + (3*q**3 + q**3 - 2*q**3)*(2*q**2 + q**2 - 2*q**2) + 7*q**5 + 4*q**5 - 4*q**5.\nAnswer: 12*q**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(w) be the third derivative of 4*w**5\/15 + w**4\/6 - 12*w**3 - 3*w**2 - 50*w. Suppose q(z) = 0. Calculate z.\nAnswer: -9\/4, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.117498 nanograms in grams?\nAnswer: 0.000000000117498","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 1625 and 3315.\nAnswer: 65","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q\/(q*q**(-2\/7)*q)*(q\/(q**5\/q))\/q)**49 assuming q is positive.\nAnswer: q**(-231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Round 2503.67366 to the nearest one hundred.\nAnswer: 2500","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*z - 66260 = -5*m, m = -0*m + 4. Round z to the nearest 1000.\nAnswer: 17000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -1 + 4. Suppose -10 = -5*v + q + 6, 2*v - 3 = -z*q. Let j be (-3)\/(-3*v\/(-6)). Is j < -2\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(s) = -s**3 - s**2 - 2*s - 1. Suppose 19*p + 10 = 14*p. Let c be x(p). Solve -i + 2 = -u + 3*i, u - c = -5*i for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1174 is divided by 25.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*c + 154*u - 151*u = 4, -4*c = -u - 36 for c.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -5 - -4.7. Let k = -22 - -21.9. What is the closest to c in k, -0.4, 5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 28979?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Determine a so that -28*a**4 + 22*a**3 + 24*a**2 - 22*a + 4 = 0.\nAnswer: -1, 2\/7, 1\/2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 138 and 5451?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - -9 - (-506 - -498).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 8464\/96 - (-5 + (-62)\/(-12)) and 3564?\nAnswer: 7128","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-23800)\/7616*(-4 - 0)?\nAnswer: 25\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 2*b**2. Let w(k) = 9328991*k**2. What is w(h(q))?\nAnswer: 37315964*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**2 + 6*m - 3. Let f(i) = -8*i**2 + 1. Let w be f(-1). Let z be v(w). Solve -z*t + 27 = -3*d, -32 = -d + 5*d - 4*t for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence dqqq when four letters picked without replacement from {d: 4, k: 3, q: 7, o: 4}?\nAnswer: 7\/612","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 0 - -2595?\nAnswer: 2595","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35*i = 37*i - 432. Let z(s) = -5*s**2 + 8*s - 10. Let a(r) = 6*r**2 - 9*r + 11. What is i*a(n) + 7*z(n)?\nAnswer: n**2 + 2*n - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11088 and 176.\nAnswer: 11088","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -8226 divided by 6?\nAnswer: -1371","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is (0 - 2) + (3 - (-2 - -3))?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 48 - 50. Let u be k\/17 + (-1960)\/(-476). Solve 0 = 8*p - u*p + 12 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:52 AM and 10:34 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -269 or -3506\/13?\nAnswer: -269","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is (21 - 76 - 0) + 27?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*f**3 - 7*f**2 + 44*f**2 - 35*f**2 - 4*f + 1 + 11*f**4 + f in the form t*f**3 + x*f**2 + m + l*f**4 + p*f and give p.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7986 is divided by 1984.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 126066.\nAnswer: 2, 3, 21011","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the first derivative of 8*g**7\/7 - g**3 - 1. Find the third derivative of c(k) wrt k.\nAnswer: 960*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 624 and 383435.\nAnswer: 18404880","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*h = 17*h - 253. Calculate the smallest common multiple of 5 and h.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -2\/7, -1\/4, -7, -2\/11, -5, 2809, 0.2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*k**2\/2 + 3582*k - 7167\/2.\nAnswer: 3*(k - 1)*(k + 2389)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 29.725729 rounded to one decimal place?\nAnswer: 29.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*b**4 - b**2 + 11*b**3 - 11*b**3 + (0*b**2 - 12*b**2 + 52*b**2)*(0*b - 3*b**2 + 0*b).\nAnswer: -118*b**4 - b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) = -7*g + 17783. Let x(o) = -8*o + 17931. Calculate 7*c(a) - 6*x(a).\nAnswer: -a + 16895","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = -p**2 + 19*p - 42. Let x be o(17). Calculate the remainder when (x - -23)*2\/2 is divided by 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -706, -1413, -2120?\nAnswer: -2827","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7113031 is divided by 93.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2243*z = -4442*z + 2230*z + 713 for z.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5638924?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v\/(v\/(v\/(v**(-3)\/v))))\/(v*v**(-1\/4)))\/((v*((v**(-7)*v*v)\/v)\/v)\/v**3))**47 assuming v is positive.\nAnswer: v**(2491\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**2 - 3*v + 4. Suppose 68 = 6*l - 178. Calculate the remainder when l is divided by t(5).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 p, and 1 x when three letters picked without replacement from {p: 1, t: 1, x: 1, e: 2, c: 4}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1733348664?\nAnswer: 2, 3, 4211, 5717","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1156 + 1160. Suppose 2 + 4 = -j. Let m = -4 - j. Solve m*h + 4 = 0, -h + d = -4*b + h for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 0.41  (b) 2\/15  (c) 0  (d) -0.043  (e) 0.3  (f) -1\/45\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 79986450 - -31\nAnswer: 79986481","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -i**2 + 20*i + 517. Let s be o(35). Sort -1, 0, 1, 4, s in increasing order.\nAnswer: s, -1, 0, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**2 - 9*z - 3. Let n(v) be the second derivative of v**3 + v**2 + 130*v. Let w(c) = -6*n(c) - 4*u(c). Let l(t) = -22*t. What is l(w(m))?\nAnswer: -88*m**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -7.09 - -7. Let v = z - -0.09000095. What is v rounded to seven dps?\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 18275289?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -75*n**3*t + 45*n**2 + 43*n + 65*t wrt n.\nAnswer: -450*n*t + 90","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 47*d - 89 + 89 + 18*d to v + b*d and give b.\nAnswer: 65","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 11599 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 362775?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (6\/25)\/(28\/35). Which is bigger: 1\/5 or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1 or 415?\nAnswer: 415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 1, c: 1, j: 1, m: 1, k: 1}. Give prob of picking 1 k and 1 c.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ofdodxfxxotfooxxo. Give prob of sequence oo.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/2 in -3\/4, 0.5, 4.6?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((-1*sqrt(66) + sqrt(66) + sqrt(66) - sqrt(66))*-3 + 5*2*sqrt(66))\/(-2*(sqrt(72)\/sqrt(108) - sqrt(6) - sqrt(6))*-5))**2.\nAnswer: 99\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 60*i = 124*i - 48*i. Solve i = -18*w + 6 + 30 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5426732*o + 1305 = -5426703*o for o.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) be the third derivative of -r**6\/120 + r**4\/24 - r**3\/6 + r**2. Let d be y(-2). Suppose -4*t + o - 2*o + 47 = 0, -d = 5*o. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (1*(1 + 0) + -62)*-2.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = 15*d**2 + 167*d + 1258. Determine n(-8).\nAnswer: 882","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(z) be the second derivative of z**6\/360 + z**5\/30 + z**4\/6 + 49*z**3\/3 - z - 43. Let c(p) be the second derivative of x(p). Factor c(m).\nAnswer: (m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -172182459, -172182457, -172182455?\nAnswer: -172182453","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.7, 57, 1\/2, 2 in decreasing order.\nAnswer: 57, 2, 1\/2, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - 10 - 0. Suppose -d + 3 = -i - g, -4*i = 3*d + 11. Let s(f) = f**2 + 2*f - 5. Calculate s(i).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -3 - -2.9. Let p = 0.145 + -5.145. What is the second smallest value in l, -3\/2, p?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 117 - 123.3. Let x = m - 239.7. Let f = x - -246.000000113. What is f rounded to 7 dps?\nAnswer: 0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -794, -788, -782, -776, -770, -764?\nAnswer: -758","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -229  (b) 1\/3  (c) 0.1  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 10\/5 - 0 - 81\/(-8) and -29\/20.\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4127.586 weeks in seconds?\nAnswer: 2496364012.8","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 4631?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8 - (18 + -8 + -9)?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 789, 693, 537, 321?\n\"Answer: -30*g**2 - 6*g + 825","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -252.456 - 0.544. Let v = b - -252.9998276. Round v to 5 dps.\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**2 - 35*j.\nAnswer: -j*(j + 35)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express -13*n - 42*n - 56*n + 18*n in the form t*n + m and give t.\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 305636*j**2 + 374*j + 2148. Let v be m(-6). Round v to the nearest one hundred thousand.\nAnswer: 11000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*o**2 + 110*o + 228.\nAnswer: -2*(o - 57)*(o + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 51787 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = -s**3 - 6*s**2 - 3*s + 4. Suppose 12*b = 19*b + 28. Let p be 4*(-3)\/b - -17. Suppose -5*y + r - 20 = 0, -y - 3*r - p = -0*y. Give u(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1.2?  (a) 6\/13  (b) 3\/8  (c) -2  (d) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -37 - -52. Let f be 10\/(39\/(-60) + (-4)\/(-10)). Let l = 40 + f. Solve d - 4*d - b = l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -f = -2*g - 5, -g + 226*f + 10 = 223*f for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = 6*d + 14*d - 15*d + 2 + 6*d**2. Let n be v(-1). Solve 3*f = 4*i + n, 2*i = -0*f + 4*f + 6 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 221958 = 4*u, -30*v - 3*u = -35*v + 221909. List the prime factors of v.\nAnswer: 2, 22193","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.00709 + -0.40709. Let j = -0.1 - 0.1. Sort -1.9, b, j in decreasing order.\nAnswer: j, b, -1.9","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6459 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -p**3 - p. Let y(c) = -9*c**3 + 8*c**2 - 9*c + 3. Let a(w) = 4*v(w) - y(w). Does 15 divide a(3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3807?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -178202, -356416, -534630, -712844?\nAnswer: -891058","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose o - 377 = -269. What is the remainder when 272 is divided by o?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t**4\/2 - 147*t**3\/2 - 210*t**2 - 138*t = 0.\nAnswer: -46, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 6527899477 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -27.122 rounded to the nearest integer?\nAnswer: -27","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 375599*h**2 - 4*h + 11935 wrt h.\nAnswer: 751198","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4561 = -391*f + 93*f - 2312 - 2365 for f.\nAnswer: -31","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(v) = 120*v**3 - 200*v**2 + 200*v - 200. Let f(y) = -y**3 + y**2 - y + 1. What is 200*f(o) + h(o)?\nAnswer: -80*o**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p - 9*k = 324 - 264, 33 = 2*p + k for p.\nAnswer: 17","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -190, -379, -692, -1129, -1690, -2375?\n\"Answer: -62*p**2 - 3*p - 125","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1232?\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(6\/11)*q*(q*q\/((q\/(q\/(q\/q**(1\/13)*q))*q*q)\/q*q))\/q)\/(q**(-1)\/(q\/q**(1\/5))))\/((q**(6\/11)\/q)\/(q**(-3\/7)\/q))**(4\/5) assuming q is positive.\nAnswer: q**(-1786\/5005)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = 7*t + 1. Let v be c(1). Suppose -12*r + 23*r - 4279 = 0. Let h = r + -325. Calculate the highest common divisor of v and h.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -277002 divided by 138501?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -8 - (84\/(-22) + 98\/(-539))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express -l**2 - 2*l**3 + 3 - 2*l**4 - 5 + 2*l**2 in the form d*l**4 + f + a*l**2 + u*l + s*l**3 and give f.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 49*a - 160 - 472 = 128*a for a.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 10312721*d + 40996578 with respect to d.\nAnswer: 10312721","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/(-15) + (-39)\/(-135). Sort w, 3\/5, 2 in descending order.\nAnswer: 2, 3\/5, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -x**3 - 20*x**2 + 57*x + 732. Let r be a(-21). Is r <= -725\/31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 2471 + -2483.3. Which is the nearest to -0.1?  (a) 0.05  (b) k  (c) -0.4  (d) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -13*y - 10 + 36 = 0. Solve -y*f - f - 15 = 0 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -70?  (a) 1  (b) 0.5  (c) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 47149113 divided by -9589.\nAnswer: -4917","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 - 2*f + 4 + 2*f - 8*f - 2*f + (0*f - 2*f + f)*(-5 + 2 + 4).\nAnswer: -11*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3321 is divided by 234?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -66.38 + 1.38. Let u = 227535.0116 - 227470. Let y = u + g. Round y to three decimal places.\nAnswer: 0.012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7 - 4. Suppose -64400 = -27*m + 28*m + 49*m. What are the prime factors of (h\/(-2))\/(14\/m)?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-3)\/(-78))\/((263445\/386)\/273).\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 994 + 205888*b - 1986 - 205888*b + 992 + 7*b**3.\nAnswer: 7*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -13*r - 4. Let o be y(-3). Let h = -1077 + 1080. Suppose b = -h*k - 2*b - 21, -5*k - o = -2*b. Let l(t) = t**2 + 7*t + 6. Calculate l(k).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -12496, 38, -4, -1, 10 in decreasing order.\nAnswer: 38, 10, -1, -4, -12496","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 4 - 29\/7 - (-45)\/21. Let x be p\/11 - (-11700)\/143. Is 82 <= x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 7 and (-32)\/(-6)*(-9)\/(-12).\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 615 = 684*c - 643*c. Let a(k) = -k**2 + 16*k - 21. Calculate a(c).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide (-100441)\/(-276) + (-4)\/(-48)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 6131543861 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 131223210133 (base 4) to base 6.\nAnswer: 434433251","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 134 is divided by 31?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4 + -2 + (2 - 5) + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 515492976 a multiple of 1148?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 + 6 + -1 + -7 + 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 67 = -5*d - 3*l, -70 = -56202*d + 56202*d + 5*l for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -25, -46, -67, -88?\n\"Answer: -21*k - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -41525089, -41525087, -41525085, -41525083?\nAnswer: -41525081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.08 - -0.22. Put 3, -0.1, q in descending order.\nAnswer: 3, q, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s = -4*s + 624. What is the tens digit of s?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = -m**2 + 8*m + 5. Let r be w(7). Let p be ((-7)\/(-14))\/(2\/r). Suppose -p*o - 4*i + 6 = 0, 4*o - i - 15 = -4*i. Does 3 divide o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -1 - -5. Suppose 2*v = t*v. Suppose 3*w + v*w - 45 = 0. Solve 0 = 5*u - w - 5 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 11*c - 194. Let q(v) = -66*v + 1114. Let l(u) = -23*h(u) - 4*q(u). Let a(z) = 22*z + 11. What is 3*a(s) - 5*l(s)?\nAnswer: 11*s + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3287508.\nAnswer: 2, 3, 7, 5591","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -11012011212 (base 3) to base 11\nAnswer: -56a98","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 15169, 15383, 15981, 17155, 19097, 21999?\n\"Answer: 32*a**3 - 10*a + 15147","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -2603044, -2603006, -2602968, -2602930?\nAnswer: -2602892","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = -77*n + 842. What is h(11)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 4 - 1)*(0 - 2*q**2 + 0 + (2*q - 2*q**2 - 2*q)*(1 - 3 + 4) - 5*q**2 + 0*q**2 + 3*q**2).\nAnswer: 32*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-10)\/11*30\/8 and 738\/48*(-4)\/(-21)?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 4498 - 1077. Suppose 1552 = 2*s - 4*p, -299 + k = 4*s + p. Round s to the nearest one hundred.\nAnswer: 800","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3462 and 4386?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -3301202211 + -2?\nAnswer: -3301202213","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -2*g**3 + 7*g**2 - g - 10. Give k(3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 167677133?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 97*s**2 - 2*s - 1. Let r be o(-1). Let y = 200182 - 200126. What is the greatest common factor of r and y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*n + 7*n = 96. Suppose n*p - 898 = -226. Is 56 a factor of p?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-50)\/(-15) + 2\/3. Suppose -2*r = f - w, 4*r - f - 4 = 2*r. Solve 0*t = -3*t - j - 13, -20 = r*t - 5*j for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -9349, -18699, -28049, -37399, -46749?\nAnswer: -56099","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 12674741 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -217, -179, -169, -229, -401, -727, -1249?\n\"Answer: -7*h**3 + 28*h**2 + 3*h - 241","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.465 + -0.109. What is x rounded to 1 dp?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -138301*i**3 + 810958*i**3 + 221729*i**3.\nAnswer: 894386*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence gq when two letters picked without replacement from negqi.\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3 + 10031?\nAnswer: 10100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 9 = 5*o, -4*o + 2 = -2*f - 4. Let y = -1 + 3. Solve -n = o + y for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 121882680?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in seventeen sixths of a decade?\nAnswer: 340","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort 24, 5, -1, -2.\nAnswer: -2, -1, 5, 24","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 20086141 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 39*z = 11178 - 1506. Is z a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18 = 4*c + q, 5*c - q = 714 - 696 for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(g) = 73*g + 2442. Let j be x(-33). Calculate the highest common divisor of j and 7887.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2551?\nAnswer: 2551","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) = v**2 - 75*v + 1016. What is g(57)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 1146562020 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -8882 divided by 1\nAnswer: -8882","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*y = -12*y + 204. What is the remainder when y is divided by 9?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 489\/10 - 13183\/270. Suppose -3 = -r, 4*j + 10*r - 15 = 5*r. Which is smaller: v or j?\nAnswer: j","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1049159?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -23*b**3*y*z - 25*b**3*y - 238*b**2*y**3*z - 458*b*y**3 + b*y wrt z.\nAnswer: -23*b**3*y - 238*b**2*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 8 + -14550?\nAnswer: -14542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-2)\/(-55) - 0)*(12 + -3 - 14).\nAnswer: -2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 4\/(-114)*3 - 24393\/(-2679)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4\/3 + 2\/5*d + 2\/15*d**2 = 0. Calculate d.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) = t**2 + 0*t - 3*t + 2 - t. Suppose -2*n = 2*u - 46, 0 = 2*u + 2*n + n - 45. Suppose -4*p = 2*p - u. What is m(p)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(l) = -2*l. Let k(a) = -a - 151076. Determine k(p(q)).\nAnswer: 2*q - 151076","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 319533997 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -3*t**2 - 1. Let o be v(4). Let q = o - -151. What is the hundreds digit of q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.05?  (a) -3  (b) -5  (c) 3\/22\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = 2*t**2 + 16*t. Let o be s(7). What is the highest common divisor of o and 21?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -92120956*l**2 + 104247929*l wrt l.\nAnswer: -184241912","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/26571 and -67\/63189?\nAnswer: 32921469","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 11736623 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -3*s + 2. Let v be b(6). Let j = 2 - v. What is the tens digit of j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from aawwwwwwaaaaa. What is prob of sequence aa?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of (-1)\/((-16)\/356)*24\/(-1260) and -91\/50.\nAnswer: 1050","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 12634071 and 1.\nAnswer: 12634071","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -316 * -0.3\nAnswer: 94.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Product of -63 and -34.9.\nAnswer: 2198.7","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 17113 at most as big as 17116?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -696827\/5 - -139366. Determine u so that -7\/5*u**3 - h*u - 14\/5*u**2 + 4\/5*u**4 + 0 = 0.\nAnswer: -1, -1\/4, 0, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4*s**2 + s**2 - 311*s**3 - 7 + 7.\nAnswer: -311*s**3 + 5*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1058*c**2 - 2051*c**2 + 874673*c - 874673*c.\nAnswer: -3109*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 210146 and 1603097?\nAnswer: 587","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1011399*i - 1011402*i + 5*g + 65, 3*i - 85 = -5*g for i.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that 2*f**4\/3 - 2818*f**3\/15 - 22348*f**2\/5 - 134896*f\/15 - 4864\/3 = 0.\nAnswer: -20, -2, -1\/5, 304","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-288)\/(-120)*((-13)\/(-3) - 1). Let z(i) = -14*i**2 - 121 + 0*i**3 + i**3 + d*i + 105. Is z(14) a multiple of 16?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 p and 1 z when two letters picked without replacement from {p: 9, z: 3}.\nAnswer: 9\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 915391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = -2*y**3 + 33*y**2 + 19*y - 31. Let l(q) = -4*q**2 + 17. Let i be l(0). Calculate the least common multiple of 15 and m(i).\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -9*y - 211. Let l be z(-24). Solve l = -2*d + d for d.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-32 + 32 + 35*v**2)*(5 - 2 + 2 - 1).\nAnswer: 140*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 145 divide 11136?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 5979788821 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -36, 1658, -3, -5, -4, 15 in descending order.\nAnswer: 1658, 15, -3, -4, -5, -36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 88869446 and 8.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 767 a multiple of 17?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 38 = h, -19 = 4*w + 4*h + 21. Let l = w - -11. Suppose l*z = 5*y + z + 23, -2*y - 26 = -5*z. Sort 0, 3, y in decreasing order.\nAnswer: 3, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.11 * 1778.359.\nAnswer: 195.61949","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of (-539266)\/(-637) + 2 + 33\/(-21)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zsyl when four letters picked without replacement from zlyysyz?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11 + 12.4. Let q = m + -0.4. Let w = -5.6 - -6. Which is the second smallest value?  (a) w  (b) -5\/3  (c) q\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2437*m + 1037*m - 1358*m - 570*m to the form g + r*m and give r.\nAnswer: -3328","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = -t**3 + 5*t**2 + 3*t + 2. Let f be v(6). Let a = 18 + f. Let p(g) = 3*g**2 - 5*g**2 - 6*g**a - 8*g**2. Let j(b) = b. What is j(p(w))?\nAnswer: -16*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 130 + -89 + -43 + 3?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 100 divide 4101200?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 265280854?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -352*t - 564*t + 31547 - 1319 for t.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (20\/(-3))\/(-4)*(-86)\/1935*(-2)\/(-8)?\nAnswer: -1\/54","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 14\/77 + (-16911)\/(-99). Let t = 187 - h. What is the highest common divisor of t and 10?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3*10\/3*(-213)\/142.\nAnswer: -15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 2*j. Suppose 0*i = i - 1. Let w be m(i). Suppose w*k = 6*k + u - 141, 0 = -2*k + 5*u + 87. What is k rounded to the nearest ten?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 2 - -1. Suppose -4*u + 29 + 47 = 0. Let j = u - b. List the prime factors of j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 17277, 69056, 155361, 276198, 431573, 621492, 845961, 1104986?\nAnswer: 1398573","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 2\/13, 16, -8, 0, -23.8 in ascending order.\nAnswer: -23.8, -8, -5, 0, 2\/13, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -71047*f**4 - 2*f**2 - 80*f + 945 wrt f?\nAnswer: -1705128*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence zc when two letters picked without replacement from {z: 1, w: 3, u: 3, k: 3, c: 1, h: 4}.\nAnswer: 1\/210","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 - 11 - 1)*(2*w**4 - 4*w**4 + 5*w**4) to the form g*w**4 + i*w**2 + o + t*w**3 + y*w and give g.\nAnswer: -39","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 381887 to the nearest integer?\nAnswer: 618","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = -5*i**2 - 5 + 7 + 6*i**2 + 4*i. Let k(y) = y + 1. Give -b(r) + 2*k(r).\nAnswer: -r**2 - 2*r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = a**3 - 4*a**2 + 3*a + 2. Let i be m(3). Suppose s = 2*s - i. Suppose -z + 2 = -2*d + 3*z, -3*z - 1 = -s*d. What is the units digit of d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1\/15 in -0.3, -20, 3\/5, 4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) = 11*z**3 + 7*z**2 - 16*z - 12. Let s be a(-7). Round s to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 568 and 575 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/10?  (a) 3  (b) -61  (c) 28\/27\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*o = -3*q + 3, 15*q + 4*o = 10*q + 8. Suppose 2 = 4*f - 2. What is the highest common factor of f and q?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1212*x - 14103*x = 7173*x - 562200 for x.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 219, 4, -6\/5, 0.3, 3, 759, 0.5 in ascending order.\nAnswer: -6\/5, 0.3, 0.5, 3, 4, 219, 759","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 76*o + 160 - 162 - 25*o.\nAnswer: 51*o - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 1867 to the power of 1\/3, to the nearest integer?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -628, -526, -288, 146, 836, 1842?\n\"Answer: 10*p**3 + 8*p**2 + 8*p - 654","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*p - 57 = -4*x, 0 = x - 20*p + 24*p - 28. Solve -3*w + 10 = -x*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -514*p = -520*p + 18 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -348 + 348 - 63*x + x - x + x + 0 + 0 + 2*x - 3*x + 5*x - x + (2 + 2 - 3)*(0 + 0 + 2*x) - 2*x + 0*x + 3*x.\nAnswer: -56*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 12774913 minus -3?\nAnswer: 12774916","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 5*l**2 + 1)*(36 - 18 + 98*l - 16).\nAnswer: -490*l**3 - 10*l**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 102700140 * 0.1\nAnswer: 10270014","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the third derivative of -k**5\/30 + 2*k**2. Let p(j) be the first derivative of -6*j**2 + 7. Give p(b(h)).\nAnswer: 24*h**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Express 154*p**3 - p + 187*p**3 - 37*p**3 + 2*p as g*p**2 + m*p**3 + u*p + q and give m.\nAnswer: 304","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15533, -3, 184 in decreasing order.\nAnswer: 184, -3, -15533","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -56 - -71. Let k(p) = -13 - p**2 + r*p + 17 + 24 - 30*p. What is the remainder when 33 is divided by k(-16)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = -3 + o**2 - 1 + 2*o - o. Suppose 2*f + f - 3 = 4*c, -f - 4*c - 15 = 0. Determine u(f).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -5 - -9. Suppose -2*s - 6 = -p. Let n = s - 4. Sort -4, 4, n in ascending order.\nAnswer: n, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -0.1783 and -0.07?\nAnswer: 0.1083","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.005 minus 67096?\nAnswer: -67095.995","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) = -r**3 - 25*r**2 + r - 30. Suppose 2*b = -4*w - 42, -2 = b + 4*w + 13. Is o(b) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7205404?\nAnswer: 2, 509, 3539","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = 7*o**2 + 110953*o + 221899. Give i(-2).\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round 829300 to the nearest 100000.\nAnswer: 800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add -1244044934 and 21.\nAnswer: -1244044913","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 154906 is divided by 811?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-136)\/(-16))\/17*-12?\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-g**2 + 2*g - 2*g)*(670*g - 195*g + 322*g)*(-1 + 3 - 30*g + 6*g).\nAnswer: 19128*g**4 - 1594*g**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = -u + 5. Does 4 divide y(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 28.306 rounded to one decimal place?\nAnswer: 28.3","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = 3*h + 14 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.1 in 7, -4, -2, -2\/13?\nAnswer: -2\/13","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1661*u**4 - 2*u**2 - 7*u + 23 wrt u.\nAnswer: -39864*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00002881996987 rounded to 7 decimal places?\nAnswer: -0.0000288","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence lq when two letters picked without replacement from {o: 6, u: 1, q: 2, l: 3, s: 2}.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 1709927 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1559*d + 947*d - 651*d - 55650 for d.\nAnswer: 30","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Are -44283 and -44293 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 - (-35)\/2*(-3)\/60.\nAnswer: 1\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.2, -4, 10, -2, 0.2, 10673\/6.\nAnswer: -4, -2, -0.2, 0.2, 10, 10673\/6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -291 - -522. Let b(f) = -4*f**3 + f**2 + 2*f + 8. Let v be b(-6). Suppose x - n = -2*c - 2*c, -2*c = 4*x - v. Is x a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*u - 2*v - 18, 1157 = 5*u - 3*v + 1140 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f*f**6*f)\/f**(2\/17)*((((f*f\/((f*(f**(-2\/13)\/f)\/f*f*f)\/f)*f)\/f)\/f)\/f)**(4\/33) assuming f is positive.\nAnswer: f**(57622\/7293)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 162 a factor of 8934?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -1390 - 644?\nAnswer: -1a24","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 159\/22 in 2, -89, 1?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*j - 296 = -0*j - 3*t, 0 = -2*j - 5*t + 296. Suppose n - 2*r = 5*n - 136, 4*n - j = -5*r. Is 33 bigger than n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*q**2\/7 - 42*q + 756 = 0.\nAnswer: -63, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l(n) = 2*n**3 + 2*n**2 - 5*n + 4. Let o be ((-3 - -6) + -4)*-4. Is 24 a factor of l(o)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -2\/217, -61, -2\/3, 0, -0.4, -0.5?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve f**5\/5 + 9092*f**4 - 227318*f**3\/5 + 318252*f**2\/5 - 27279*f = 0.\nAnswer: -45465, 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*j + 84 = -132 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kzmmmmmmmmmmmm. What is prob of sequence mmkm?\nAnswer: 5\/91","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/147*-7)\/(174\/(-29))*12.\nAnswer: 4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 48065 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express -630*p - 320*p**3 - 146*p**3 - 2*p**2 + 629*p as d*p**2 + v*p + w + j*p**3 and give v.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Work out 129 * 0.1.\nAnswer: 12.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a + 57 = -2*h + 5*h, 3*a - 171 = h. Suppose a = -58*z + 61*z. Solve -2*j = 3*i + 6 + 7, 0 = -3*j - 4*i - z for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 46\/44772405 and -143\/340270278?\nAnswer: 1701351390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 66356\/9 + -7292. Let d = 2543\/36 - n. Calculate the common denominator of d and -13\/20.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 15830274?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 19050 and 150.\nAnswer: 150","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9 + 8 + (-26 - -3 - 3) + 2 + 92.\nAnswer: 85","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2206410215 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -70*u + 115*u - 45 for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -13aa6666 + 2?\nAnswer: -13aa6664","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5397078 and 1341?\nAnswer: 447","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 5*o**2 + 3*o. Determine t(-4).\nAnswer: 68","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the seventh smallest value?  (a) 2  (b) 5\/41  (c) 0.1  (d) -122  (e) -5  (f) 0.5  (g) 4.2\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000116657 to 7 dps.\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 21 + -12. Let g be (-2 - 1) + 37 + o. Suppose 17 = 3*t - g. Does 4 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((h\/(h*h*h**2))**(-8\/11)*(h\/(h*h**(-4\/7)))\/(h\/(h*h**(2\/11))))**37 assuming h is positive.\nAnswer: h**(8362\/77)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = -q**3 - 5*q**2 + 5*q - 4. Suppose 2 = 3*b + 20. Let f be i(b). What is the tens digit of f\/(-6)*(1 - 46)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 9463 + -3?\nAnswer: 9460","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1384\/7 + -198. Let l be (4\/(-6))\/(7\/3). Is l smaller than u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -2504132 - 104?\nAnswer: -2504236","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -66*i - 55 - 11. What is the closest to 1\/2 in 0.2, i, -244, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 1257548967?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -14 - 15db?\nAnswer: -1611","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 79781482?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 135*d = -173 - 117 - 115. What is the second biggest value in d, -1\/2, 0.2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b**4 + 19968*b**3 - 39921*b**2 - 19968*b + 39924 = 0. What is b?\nAnswer: -1, 1, 2, 6654","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) = s**3 + 7*s**2 - 4*s - 12. Give z(-7).\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*j**2 - 867975*j + 2603898.\nAnswer: 3*(j - 289322)*(j - 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 8 = f. Solve -z = z - f for z.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2954396834 to the power of 1\/2, to the nearest integer?\nAnswer: 54354","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 4075452 (base 8) to base 4\nAnswer: 10013230222","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(r) = -3*r**3 - 4*r**2 + 5*r. Let m(g) = 2*g**3 + 3*g**2 - 4*g. Calculate -3*c(t) - 4*m(t).\nAnswer: t**3 + t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 1\/4, -2\/7, -11, 19509, -1?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.191 + -181.209. Let f = 182 + r. What is the second smallest value in 9, f, -0.2, 0?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1672 - -0.2?\nAnswer: 1672.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 25*u - 35. Let t(o) = 31*o - 35. Calculate 5*d(w) - 4*t(w).\nAnswer: w - 35","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cdt when three letters picked without replacement from xdcxt?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.00388 rounded to four dps?\nAnswer: 0.0039","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -5, 3, -1.\nAnswer: -5, -3, -1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 2*3\/(-15)*-5. Let w(r) be the third derivative of r**4\/24 + r**3\/6 - 2*r**2. What is the units digit of w(o)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 114734017?\nAnswer: 114734017","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Is 35 a factor of 688?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.06 - 2.06. Let t = -11 - -13. Which is the closest to 2\/5?  (a) l  (b) -0.1  (c) t\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -16332 + 195871\/12. Find the common denominator of -1 + 88\/(-240)*8*1 and s.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (1 - -1) + 4 + 0 - 1.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = n**2. Let t(r) = -6*r. Let m(z) = -z. Let f(y) = -28*m(y) + 4*t(y). Calculate f(k(s)).\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*c = 13*c + 111. Suppose y + c = 126. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -6*i + 167. What is l(27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -23*y + 8. Let x(h) = 40*h - 14. Let s(l) = -7*a(l) - 4*x(l). Let b(i) = -20*i + 8. Calculate s(b(r)).\nAnswer: -20*r + 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 712192673 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-30)\/8)\/(8\/(-32)). Suppose 0*v - x = -5*v. Suppose 5*y = 16 - 1. Solve 0 = y*c + 3*f + 3, v*c - 2*f - 2 = 2*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + y + 383 = 0, -5*y + 547 - 194 = 3*q. Suppose 3*m - q = -5*g, 5*m - 303 = -3*g - 77. What are the prime factors of m - (-2)\/(-1) - -4?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 4214260?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -52.78 and -3.\nAnswer: 158.34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 4, -0.4, 40, 6?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 28 + ca1d?\nAnswer: ca47","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 (base 10) in base 9?\nAnswer: -2","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 118 less than 15?\nAnswer: -103","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**(2\/13)*w)**(-9\/8)\/((w**23*w)\/w*w*w**(-1\/3)) assuming w is positive.\nAnswer: w**(-7789\/312)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -a6b + -2?\nAnswer: -a71","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 4104 a factor of 1004396544?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express (1 + 2*g**2 - 1)*(-4 + 4 - g) + (10*g**2 + 90 - 90)*(-g + 0 + 0) as x*g**2 + s*g + z + c*g**3 and give s.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 465168?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*f**5 - 6353*f**4 - f**3 + 143*f**2 - 130*f?\nAnswer: -120*f**2 - 152472*f - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 61528066 - 30764034 + 3*t**2 - 30764032.\nAnswer: 3*t**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) be the first derivative of h**4\/16 + h**3\/4 + h**2\/4 - 61. Determine v so that i(v) = 0.\nAnswer: -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -16 - -19. Let s be -3 - ((t - 15) + 4). Suppose -4*i = -20, b + 2093 = s*b + 5*i. Is b prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:28 PM and 8:59 AM?\nAnswer: 691","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 486 - 310. Let h = -1230\/7 + y. Let i = 4 - 3. Is i equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/20  (b) 14  (c) 0  (d) 123\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 141 minutes after 5:46 AM?\nAnswer: 8:07 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37 = 3*d - 3*q + 8*q, 4*q + 92 = 4*d. What is the units digit of d?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in -0.23, 0.05, -3, -1?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -3*r**4 - 37*r**3 + 55*r**2.\nAnswer: -72*r - 222","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is (-77800)\/(-16) + 10\/(-4) + 1 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 37\/70 and -10\/147?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a + 5*a - 19839 = -5*q, -2*a - 4 = 0. Is q a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = a**3 - 35*a**2 - a + 40. Calculate c(35).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -38*r + 131. Determine d(2).\nAnswer: 55","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 1*(3 + -4 + 3). Let y(d) = -d - 4*d + 3*d. Let s be y(-2). Solve -s*l = -r*l for l.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1462519 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 88 = 4*d - 2*h, -5*h = -2*d - 53. Let z = -13 - d. What is the remainder when 22*(6\/(-4) - -2) is divided by z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3431149 divided by -7.\nAnswer: -3431149\/7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 52 - -27. Let o = c - -15. List the prime factors of o.\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -268*n*s**2 + 83*s**2 wrt n?\nAnswer: -268*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*u + 5*u - 4*h = 2*u - h + 1, 5*h + 35 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a = -7*a + n + 36524, 4*n - 16 = 0. Suppose 44516 - a = 55*d. What is the least common multiple of d and 18?\nAnswer: 1764","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 58.58 * -2.\nAnswer: -117.16","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1738921\/502824 - 1\/41902. What is the common denominator of 2\/(-28) + (-852)\/(-50400)*76 and a?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/21 + (-480)\/(-1260).\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3 or -50787?\nAnswer: -50787","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 2 * -0.0235\nAnswer: -0.047","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let t(z) = -7*z**3 + 255*z**2 - 81*z - 76. What is the least common multiple of 320 and t(36)?\nAnswer: 4480","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**2 - 15*t - 38. Let l be n(-11). Suppose s - l*s - 215 = 0. Let d = s + 51. What is the greatest common factor of 8 and d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -59521 and -59437 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 24 and 5806416.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((n*n**8*n)\/n)\/n)**25 assuming n is positive.\nAnswer: n**200","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 25241486189 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 14 + -28. Let z = -24 - w. Let n = 9.9 + z. What is the biggest value in -4, 0, n?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 18\/12*(-8)\/6. Let d be (1 - 3)*10\/(-4). Let x = d - h. List the prime factors of x.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/10)\/(3*(-2)\/30)\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1126 = 10*x + 414. Let b = -75 - x. What are the prime factors of b?\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 366 is divided by 41.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-295)\/(-95) - (-16)\/(-152). Solve 0 = 3*v - o - m*o - 7, 0 = -3*v - 4*o - 25 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 21*r + 15*r - 40*r - 34 in the form n*r + c and give c.\nAnswer: -34","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*f = 10*f - 19. Let d(u) = 55*u**3 - u**2 + u. Calculate the remainder when d(1) is divided by f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is y in -1875*y**3 + 3579150*y**2 - 1622745888*y - 82402297248 = 0?\nAnswer: -46, 24436\/25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.36 plus 2?\nAnswer: 0.64","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Are -34 and -4\/7 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -249596292*c**2 + 499192572*c**2 - 249596282*c**2.\nAnswer: -2*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Divide -451 by 41.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1174, 2173, 2884, 3307, 3442?\nAnswer: 3289","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 9.595129 tonnes?\nAnswer: 9595129","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, m: 1, h: 1, z: 2, p: 6, s: 7}. What is prob of picking 2 t and 1 p?\nAnswer: 2\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 30, 60, 86, 108, 126?\n\"Answer: -2*d**2 + 36*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 610 minutes before 12:57 AM?\nAnswer: 2:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4255293?\nAnswer: 3, 7, 97, 2089","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*q - 729 = -2*z - 10*q, 2*z - 4*q = 726. What is the remainder when z is divided by 63?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 354 - 200. List the prime factors of i.\nAnswer: 2, 7, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(k) = 5*k - 1. Let f be z(1). Determine p so that -f*p**2 + 0*p**4 + 4 - 4 + 8*p**3 - 4*p**4 = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 230332 (base 5) to base 15\nAnswer: 267c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -23225264 divided by 6632.\nAnswer: -3502","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 400?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7359*w**5 - 16*w**4 + 1971721*w + 1?\nAnswer: -147180*w**3 - 192*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m - 5 = 0, -2*m + 1 = -2*y - 3. Let v(q) = -q**3 - 7*q**2 + 6. Calculate the remainder when 29 is divided by v(y).\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -27*s = -32*s + 10. Let d = -2\/43 + 47\/86. Which is the nearest to 0.3?  (a) 3  (b) d  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(a) = -3 - 3*a - a + 5*a. Let k(u) = u**2 + 14*u - 95. Let j be k(-19). Suppose -9 = -i + 2*b - 4, j = -4*i - 2*b - 20. Calculate c(i).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-2 + (0 - 2))*-1. Let f be -1*(-1 + 0)*2. Let g be (-1)\/4 + (-91)\/(-28). Put g, f, a in decreasing order.\nAnswer: a, g, f","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 1 - 652?\nAnswer: -651","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 398057 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -4ab727 (base 13) in base 6?\nAnswer: -102255325","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: 304+-9.9\nAnswer: 294.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = g**3 + 3*g**2 + 4*g + 3. Let v = 7 - 16. Let h = v + 7. Give j(h).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -116261\/106038 - -517\/411. What is the common denominator of -103\/90 and z?\nAnswer: 3870","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1 + 42*j**3 - 1 - 15*j**3.\nAnswer: 27*j**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Does 308 divide 346500?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -10*w = 54 - 4 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 39267*d**3 + 38702*d**3 - 78110*d**3.\nAnswer: -141*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -d**3 + 17*d**2 - 40*d + 14. Let f be p(14). Solve 20*z - 6*z = -f for z.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -455536 to the nearest one hundred thousand.\nAnswer: -500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 17 and -64.\nAnswer: -1088","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence occq when four letters picked without replacement from qdcodqddodooqcq?\nAnswer: 4\/4095","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -757*o**2 + o. Let l(m) = -3520*m**2. What is p(l(z))?\nAnswer: -9379532800*z**4 - 3520*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -t - 37, -4*x = -0*x + 3*t - 45. Solve -5*z - x = -4*f, -5*z + 22 = 5*f + 7 for f.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 26\/(6\/(3 - -45)). Sort g, 4, 2, 1.\nAnswer: 1, 2, 4, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 4*p + 6 = -2*f, 0 = -5*f - 2*p + 6. Let b(m) = 5*m**2 - 2*m**f + 5*m**2. Let o(j) = -2*j + 2*j - j. Determine o(b(k)).\nAnswer: -8*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -7400 - -7403. Solve 2*p = -0*p - h + 2, x*p = -3*h for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0000588 rounded to five decimal places?\nAnswer: 0.00006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 4\/1867  (b) -3\/2  (c) 3  (d) 0.05  (e) 1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 + 0)*0\/2. Suppose u = 2*o - 3 - 3. Solve -3*f = 3*z - f + 1, 4*z = -o*f - 1 for z.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, 10, -3, 5, -10 in ascending order.\nAnswer: -10, -5, -3, 5, 10","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = -44*s**3 + 26*s**2. Let q(f) = -5*f**3 + 3*f**2. Determine -6*p(z) + 52*q(z).\nAnswer: 4*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 20124 to the power of 1\/2, to the nearest integer?\nAnswer: 142","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-26)\/(-91))\/((-12)\/(-14))?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(z) be the first derivative of -z**3 + 10. Factor l(a).\nAnswer: -3*a**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3 + 2 - 9 - 36*b**2 + 3.\nAnswer: -36*b**2 - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 9, q: 9}. What is prob of sequence kq?\nAnswer: 9\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 3\/15*15*(-156)\/(-3159)*(-45)\/(-6).\nAnswer: 10\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 1.273 and 118?\nAnswer: 150.214","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 114 and 708738.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2\/229 - -17637\/458. Let a = 17555401\/21096 + -13\/21096. Let n = -852 + a. What is the common denominator of n and x?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from gzmmgzhzzzzzzgzzzmzm. Give prob of sequence hggz.\nAnswer: 1\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 106288448?\nAnswer: 2, 7, 33893","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g = -5*t - 5, 23 + 8 = -g + 5*t. Let u = 9 + g. Solve -5*p = -3*p, 6 = u*l + 4*p for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 6502*i**2 + 36*i - 1 wrt i.\nAnswer: 13004","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3 - (-50)\/18 - (-30)\/54?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(j) be the third derivative of -59*j**5\/60 - 17*j**3\/6 + 31*j**2. Find the first derivative of t(r) wrt r.\nAnswer: -118*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = j**2 + 9*j + 1 - j + j. Suppose -4*u - 5*w = 26, w + 0 - 2 = 0. Let g be k(u). Let m(z) = 7*z**2 - z. Calculate m(g).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 142916 - 142513. Let x = 33 - 6. What is the remainder when o is divided by x?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13562?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -285, -3, 3 in increasing order.\nAnswer: -285, -3, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*w = 5 + 1. Let p(g) = 9*g - 3. Let b be p(2). Let d be ((-36)\/10)\/((-3)\/b). What is the highest common factor of w and d?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*p + 10213*y - 8 = 10214*y, 3*y - 28 = -4*p for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 o, 2 h, and 1 l when four letters picked without replacement from {h: 2, o: 1, d: 2, l: 4}.\nAnswer: 2\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 50 minutes after 8:30 AM?\nAnswer: 9:20 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 264 and 55?\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is z in -5*z**2 - 181945*z + 68004150 = 0?\nAnswer: -36759, 370","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 16547.14t?\nAnswer: 16547140000000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1.4 + -0.6. Let s = -2.2 - n. Let q = -2 - -4. Sort q, s, -2 in descending order.\nAnswer: q, s, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (-3)\/(-4) + (3 + -5 - (-4277)\/52) and 234.\nAnswer: 2106","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 245905?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 2533 to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 398 is divided by 8635\/77 + (-9)\/(-4 + 67)?\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 652 minutes before 6:29 AM?\nAnswer: 7:37 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -5023 - 5018 - 44*s - 5035 + 15076.\nAnswer: -44*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 26*120\/(-42) + (-4)\/(-14). Let d = l - -78. Solve 5*a - 16 = 2*w, d*w - 1 + 11 = -a for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 581 and 249?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -9*x**3 + 3*x - 5. Let a(v) = 10*v**3 - 3*v + 6. Let w be (-2)\/40 + (-3689)\/620. What is w*b(y) - 5*a(y)?\nAnswer: 4*y**3 - 3*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (-406)\/8*(-20)\/(-16)*(-4232)\/37030\nAnswer: 29\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -11c2 (base 14) to base 7.\nAnswer: -12032","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -5f + -2e?\nAnswer: -8d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 15990, 15987, 15984, 15981, 15978, 15975?\n\"Answer: -3*f + 15993","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in 29\/6 of a week?\nAnswer: 812","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b(y) = -5*y - 7. Suppose 0 = -99*x + 2112 - 2607. Let p(k) = -9*k - 13. What is x*b(t) + 3*p(t)?\nAnswer: -2*t - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(z) = -z**3 - 5*z**2 + 8*z. Let a be g(-8). What is the greatest common factor of a and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 8570219?\nAnswer: 7, 281, 4357","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (308 - 320) + 166\/12. What is the fourth smallest value in -4, -4\/3, -0.31, c?\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 800.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/((-4)\/(-40)*-1). Calculate the greatest common divisor of z and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) = -s**3 + 15*s**2 + 2*s - 7. Let m = -33 + 48. Let r be l(m). Solve a - 5*g + r = 0, 3*g = 4*a + g + 20 for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(144)\/(sqrt(18)\/sqrt(6)))**2.\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify v**(2\/35)*v**(-19)*(v*v*v\/(v\/(v\/v**(7\/5)))*v)\/v**(-1\/12) assuming v is positive.\nAnswer: v**(-6829\/420)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*o - o + 176. Suppose 5*b + 152 = 512. Let v = b + o. Does 9 divide v?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*k**4\/11 + 52*k**3\/11 + 432*k**2\/11 + 972*k\/11 - 1458\/11.\nAnswer: 2*(k - 1)*(k + 9)**3\/11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2\/7 or 107?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*v - 5*c - 16 = 0, -2*v - 4 = 518753*c - 518751*c for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 9\/(-12) - 1\/4. Let p = 11 + -7. Let u = -15 + 12. Sort s, u, p.\nAnswer: u, s, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((24\/14)\/(-3))\/2?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**2\/23 - 7718*r\/23 - 61872\/23.\nAnswer: 2*(r - 3867)*(r + 8)\/23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sum 4609 and -1817.\nAnswer: 2792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.069 - -0.669. Put -0.4, 1, m, 0.1 in ascending order.\nAnswer: -0.4, 0.1, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00010316 rounded to six decimal places?\nAnswer: -0.000103","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the second derivative of 0*r**2 - 1\/3*r**3 + 0*r**4 - r + 3\/20*r**5 + 0. Find the second derivative of v(i) wrt i.\nAnswer: 18*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r + 4*m + 6 = 2*r, 0 = -3*r - 4*m - 3. Let g = 28 - 20. Suppose 65 = g*h - r*h. Calculate the greatest common divisor of h and 26.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 123147 a multiple of 39?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*u**3\/3 + 118*u**2\/3 + 1564*u\/3 - 560.\nAnswer: -2*(u - 70)*(u - 1)*(u + 12)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2541*h**4*p**2 + 5755*h**4 + 10*h**2*p - 1690*h*p**2 + 177*h wrt h?\nAnswer: 60984*h*p**2 + 138120*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/1008 and (-36 + (-23256)\/(-640))\/(11\/15 - 1)?\nAnswer: 4032","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -1\/130 or 10?\nAnswer: 10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 9 + -10. Let r be (-3 - -1 - (-88)\/24) + -3. Which is the second biggest value?  (a) 0  (b) w  (c) r\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) be the second derivative of 2\/7*l**7 + 0 + 0*l**3 + 0*l**2 + 7*l + 1\/2*l**4 + 0*l**6 + 0*l**5. Find the third derivative of u(t) wrt t.\nAnswer: 720*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 6}. Give prob of picking 4 x.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(-1))**28)**11*(((n**(2\/21)*n)\/n)\/((n*n\/(n\/n**5))\/n))**(-7\/3) assuming n is positive.\nAnswer: n**(-2669\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 228 and 1596?\nAnswer: 1596","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 6439 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-24)\/(-15))\/(1\/30). Let h = -22 + l. Is h a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -76878*b**6 - 6520*b**3*w - 3*b**2*w + 2*b**2 - b*w - 3718600*w + 4 wrt b?\nAnswer: -9225360*b**3 - 39120*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*d**5\/9 + 50*d**4\/9 + 110*d**3\/3 + 710*d**2\/9 + 620*d\/9 + 64\/3 = 0.\nAnswer: -16, -6, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16.8 - 17.1. Let u = -6 - -3. Let t = u - -2. What is the nearest to t in 3, -0.5, n?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h**5 - 35252*h**4 - 774172*h**3 - 4959452*h**2 - 11675488*h - 9142640 = 0. Calculate h.\nAnswer: -8791, -13, -5, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -0.2039 - -969.2039. Let u = 965 - y. What is the biggest value in 6\/5, -1\/4, u?\nAnswer: 6\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 960, 7692, 25952, 61500, 120096, 207500, 329472, 491772?\n\"Answer: 960*q**3 + 4*q**2 - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/3?  (a) 2\/9  (b) -7  (c) 1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:00 PM and 9:26 PM?\nAnswer: 386","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -141*h - 4203 = 12576 for h.\nAnswer: -119","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -171554 - -7554. Round i to the nearest ten thousand.\nAnswer: -160000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 21650 and 368050?\nAnswer: 368050","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -75 - 486 = -17*g. Suppose 8*k - 301 = -205. What is the greatest common factor of k and g?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/10?  (a) -2\/77  (b) 1\/9  (c) 3\/5  (d) -11  (e) -1\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6*z + 4*z + 65*l = 67*l - 46, 0 = 5*z - l - 5 - 92 for z.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Convert a725aa (base 14) to base 9.\nAnswer: 11566456","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -0.06 - -0.02. Let b = -4.96 + g. Let u = b - -3. Sort u, 0.2, 3\/7 in descending order.\nAnswer: 3\/7, 0.2, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = -8*v - 1. Suppose -5*d - 6*n = -3*n + 20, -5*d - 5*n - 30 = 0. Let p be z(d). Factor -q + p*q - 2*q - 2*q**2.\nAnswer: -2*q*(q - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -1\/3, -62, 0 in decreasing order.\nAnswer: 0, -0.3, -1\/3, -62","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -93*x - 102*x + 309*x + 619*x to c*x + f and give c.\nAnswer: 733","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j be ((-1256)\/(-264) - 4\/44)*3. Suppose -2*r + j = -2. Solve -3*v - r = 5*i, 5 + 0 = -4*i - v for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 350997 times -508\nAnswer: -178306476","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {r: 1, d: 2, t: 2, s: 5, n: 2, y: 1}. Give prob of picking 2 t and 1 r.\nAnswer: 1\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the third derivative of -s**4\/6 + 5*s**3\/3 - 26*s**2. Let u be k(2). Solve -5*m + 28 = a, -3*a = -u*m + 3 - 2 for a.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = 3*f**3 + 4*f**2 + f + 1. Let x be p(3). Let o be x\/7 - (-2)\/(-7). Solve 14 = y + 3*t, -o = -4*y + t - 0*t for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -97.2 times -3\nAnswer: 291.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-240)\/150)\/(9\/((-135)\/6))?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = 1287*g**3 - 18*g**2 + 49*g - 13. Is w(3) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 165 minutes after 9:08 PM?\nAnswer: 11:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = 7*u**2 + 88*u + 49. Let z be l(-12). Let k be 3\/(((-3)\/(-4))\/(-1)). Sort k, 4, z in descending order.\nAnswer: 4, z, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = -l**3 - 7*l**2 + 9*l + 8. Let c(p) = p**3 - 10*p**2 - 3*p + 22. Let m be c(10). Let i be w(m). Solve -t = 4 - i for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -132, -266, -402, -540, -680, -822, -966?\nAnswer: -1112","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -2*s - 4*n, -7*s - 4*n + 48 = -3*s. Solve 3*k - h + 3*h + s = 0, 2*k + 20 = -5*h for k.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 5 + -2. Suppose -20 = -g*o + o. Is o a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -7  (b) 176  (c) 1\/8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*n**2 - n + n)*(8 + 1 - 5) + 8 - 193*n - n**2 + 193*n as z*n + u + h*n**2 and give h.\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1071\/(-11900))\/((-6)\/5)?\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -3*w**3 + w**2 - 3*w - 4. Let u be i(-1). Determine s so that 3*s**2 + 529 - 5*s**2 + u*s**2 - 1030*s + 984*s = 0.\nAnswer: 23","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -g. Let i(s) = -6*s - 5. Suppose -2*k - 3*k = -25. Let d(a) = -a - 1. Let x(l) = k*d(l) - i(l). Determine x(q(t)).\nAnswer: -t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -23 + 1 + 337 + -318?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 10, -5*w + 28 = -2*n - 2. Let k = -319 - -322. Solve -5*c + k = w*j - 1, -2*j + 2 = c for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3\/5*f**4 + 0 + 0*f + 6\/5*f**2 - 3\/5*f**3.\nAnswer: -3*f**2*(f - 1)*(f + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -70 = -41*s - 32 - 38. Let c be 4\/(-2) + -3 + -1. Let j be ((-9)\/c)\/((-6)\/(-20)). Solve s = -2*x + j*x + 3 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*h = -3*z - 3, 9*z - 7*z - 3*h = 15. Solve y + 5 = z for y.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 951103?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 219302248?\nAnswer: 2, 11, 2492071","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 2 + 1 + (64 - -4). Suppose -2*u + t = -51. What are the prime factors of u?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (0 + sqrt(99) + 2*sqrt(99) - (sqrt(99)*-1 + 0))**2.\nAnswer: 1582","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -3*t**4 - 4*t**3 - t**4 + 4*t**3 - 6*t**3 + 23 wrt t.\nAnswer: -16*t**3 - 18*t**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -0.357 and 5471.02003?\nAnswer: 5471.37703","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3 + -1503?\nAnswer: -1500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -13.289 + 13.789. Let f = -0.42 + 0.06. Let m = -0.04 + f. What is the third biggest value in -0.1, m, b?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1893?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 4\/6*-314 + (-4)\/(-3). Let z be i\/52 - (-9 - -1). Solve z*v + 5*f = 0, 0 = -4*v + 6*v + f for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1.5?  (a) -1\/6  (b) 0.4  (c) 1\/5  (d) -2\/9  (e) 51  (f) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -a388 (base 11) in base 10?\nAnswer: -13769","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4*(-3)\/42*-49 is divided by 9?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(f) = 15*f**3 - 2*f**2 - 2. Let v be s(2). Suppose -5*l + 65 = -v. What is the tens digit of l?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -22354, -22367, -22398, -22453, -22538, -22659, -22822, -23033?\n\"Answer: -k**3 - 3*k**2 + 3*k - 22353","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**3 - 24*q**2 + 58*q - 6. Determine n(-26).\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1029 is divided by 39?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Does 24 divide 54634128?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let j(a) = -186*a - 158. What is the remainder when j(-2) is divided by 54?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11000001101100010 (base 2) in base 11?\nAnswer: 68565","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(p) = 3*p**2 + 3*p. Let v(c) be the third derivative of -11*c**4\/12 + 21*c**2 - 1. Calculate j(v(x)).\nAnswer: 1452*x**2 - 66*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z*z**(-1\/6))\/z**(2\/19))\/(z**(-2\/27)*z**(3\/5)) assuming z is positive.\nAnswer: z**(1037\/5130)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*h*q**2*t**3 + 46*h*q**2*t**2 + 11*h*q**2 + 2*h*t**2 - 2*q**2 - 3*t wrt t.\nAnswer: -12*h*q**2*t + 92*h*q**2 + 4*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 149696 or 149990?\nAnswer: 149696","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: 8.295 * -457\nAnswer: -3790.815","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be -192*((-16)\/(-48))\/((-4)\/(-30)). Let c = -239 - b. What are the prime factors of c?\nAnswer: 241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1325919.043 take away 174.151?\nAnswer: -1326093.194","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -31?  (a) 3  (b) 3\/7  (c) 12\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 592569751 to the power of 1\/3, to the nearest integer?\nAnswer: 840","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.6 - -0.1. Is -0.1 bigger than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 5156228518 to the nearest integer?\nAnswer: 1728","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -2.956 less than or equal to -2783?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Add together 122.44099 and 0.\nAnswer: 122.44099","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 233*h + 47320 = 241*h. What are the prime factors of h?\nAnswer: 5, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 36 = 5*g, g + d = -3*d + 16. Suppose -g*a + 122 = 34. Let n = a + -19. Let h(w) = w + 10. Give h(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_test"},"subset":"dm_maths"}
{"text":"Question: Solve -7886*y + 11492 + 54477 = -1989*y - 105044 for y.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -18*p**3 + 11*p**3 + 15*p**3 + (-p**2 + 1 - 1)*(2*p - 7 + 7) to n*p**2 + q*p + t + u*p**3 and give u.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1044 divided by 4.\nAnswer: -261","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -99\/6262 and -133\/23718?\nAnswer: 74261058","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = 14*y**2 - 5*y. Let j(l) = -l**2. Calculate p(j(u)).\nAnswer: 14*u**4 + 5*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put together 6755550384 and -3064.\nAnswer: 6755547320","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 60 and 6.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Divide -5 by -357.\nAnswer: 5\/357","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 4*p + p = -10, -40 = 4*z - 5*p. Let c(b) = -574*b + 20. Let h be c(z). Round h to the nearest 1000.\nAnswer: 6000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-four fifths of a milligram in micrograms?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (18\/(-4))\/(-3)*4. Let j = -9 + x. Calculate the remainder when 27 is divided by 0\/j + (-14)\/(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) be the third derivative of 5*g**9\/504 + g**8\/336 + 137*g**6\/40 - g**5\/60 - g**4\/6 + 71*g**3\/3 + 8*g**2 - 78*g. Find the third derivative of n(l) wrt l.\nAnswer: 600*l**3 + 60*l**2 + 2466","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -85966*c*r*s - 9*c*r*v**2 + c*s*v**3 + 2716665*c*v**3 - 2818*r*s*v + r with respect to s.\nAnswer: -85966*c*r + c*v**3 - 2818*r*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 3 + 0 + 106 + (-3 - -7). Suppose -18096 = -129*b + k*b. What is the hundreds digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 29 - 26. Suppose m*s - 202 = -4*r - 18, s = 0. Calculate the remainder when r is divided by 2\/6 - (-70)\/6.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8 + -2. Suppose -10*o + 1340 = -p*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 847068 is divided by 344?\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -25 = 9*m - 16 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -u**4 - 130336*u**3 - 220907*u**2 wrt u?\nAnswer: -24*u - 782016","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -2809 - -3484. What is the greatest common divisor of 297 and x?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -2  (b) 1\/26  (c) 5\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*m = 10*m + 4 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(y) = y**3 - 9*y**2 - 10. Let h be p(9). Calculate the remainder when h\/(-15) + (-200)\/(-6) is divided by 12.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is three halves of a meter in centimeters?\nAnswer: 150","meta":{"dup_signals":{},"source":"measurement__conversion_test"},"subset":"dm_maths"}
{"text":"Question: Let x be 1*-2 + -8*(-15 - (-636)\/48). Solve 4*j = -p + x, j + 7 = -2*p + 17 for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -517*u + 5881 + 13329 = -1647*u for u.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2555055143?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert -197f (base 16) to base 8.\nAnswer: -14577","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1181224.\nAnswer: 2, 11, 31, 433","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 - 11 = 4*p. Solve 2*m + 10 = -5*a, -2*m = 4*a - p*m + 6 for a.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -122245 = -28*a - 496269. Is 15*24\/40 - a a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 171996 - 171996 + 8130*p to u + m*p and give m.\nAnswer: 8130","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 588?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z - 3*z = 4*o + 17, 2*o + 4*z + 10 = 0. Let q = o - -2. Let t be q + ((-11)\/(-6) - 1). What is the biggest value in -0.1, 1, t?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (24\/(-28))\/((-26)\/273). Solve -v + t = -4*v for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 26624052 a multiple of 84?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 3*u + 9. Let n(j) = 4*j + 13. Let w(f) = -2*n(f) + 3*q(f). Let x(a) = 7*a + 1. Give 2*w(g) - x(g).\nAnswer: -5*g + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 811872656 divided by -115981808\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 12593 to the power of 1\/3, to the nearest integer?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -712 divided by 272\nAnswer: -89\/34","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 309.0018 centuries in millennia?\nAnswer: 30.90018","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 t and 1 x when three letters picked without replacement from {z: 2, t: 3, y: 4, x: 1}.\nAnswer: 1\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = -27*k + 11. Let t(l) = 54*l - 22. Let g(c) = 5*n(c) + 2*t(c). Let p be ((-12)\/(-5))\/((-44)\/20 - -2). Is g(p) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 79\/8 and 35\/822.\nAnswer: 3288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 96 minutes before 4:14 AM?\nAnswer: 2:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -0.5  (b) 0.28  (c) -0.2  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06 - 0.053060275?\nAnswer: 0.006939725","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Round -2128800 to the nearest 100000.\nAnswer: -2100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 3296668 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(450) + sqrt(450) + 1 + 1 - (5 + 2 + sqrt(450) + sqrt(450))) + -3)**2 + 4.\nAnswer: 68","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = 5*n - 17, 4*n - 5*t + 0*t = 2. Let u = -6 + 71. Suppose u*j = 96*j - 186. Is j at least as big as n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1100 + 1100?\nAnswer: 2200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = -j. Suppose -16*w - 30 = -21*w. Let p(i) = i**2 + 4*i + 2*i - w*i. Determine d(p(a)).\nAnswer: -a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -1, -3, -14, -5 in descending order.\nAnswer: -1, -2, -3, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1089 - 4*t - 2201 + 1112.\nAnswer: -4*t","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 27668 - 27672. Let w(q) = q**3 + 5*q**2 - 19. What is w(a)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1889161000.\nAnswer: 2, 5, 151, 12511","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2911, -2919, -2939, -2977, -3039, -3131?\nAnswer: -3259","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand -w**4 + 0*w + 0*w + (-1 + 1 - 2)*(0*w**2 - 2*w**4 + 0*w**2).\nAnswer: 3*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.2 + -0.4. Let u = o + 1.1. Round u to zero decimal places.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -4*a**2. Let j(h) = -h - 7. Let q be j(-9). Let y(z) = 2 - q - 2*z. Determine g(y(t)).\nAnswer: -16*t**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 896633?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29 = -4*z - b, -3*z + 4*b - 9*b + 9 = 0. What is the lowest common multiple of z and 82?\nAnswer: 328","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -341 + 16 = 13*n + 12*n for n.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(z) = -21*z. Let w(u) = 2*u - 3638. Calculate h(w(g)).\nAnswer: -42*g + 76398","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jjjjjmjjjjfjjjjj. What is prob of sequence fm?\nAnswer: 1\/240","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (28\/(-24))\/(196\/252)*(-1272)\/(-18)\nAnswer: -106","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + k + 22 = -0*h, 2*h - k = 10. Suppose -4*z = -81 + 21. Suppose -h*d = 3 - z. Solve -7*u = -d*u for u.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -30*o - 1234. Calculate the remainder when 1751 is divided by h(-46).\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) be the first derivative of 8*r**3\/3 + r**2\/2 - 3*r + 10. Let b be l(1). Calculate the highest common divisor of 8 and b.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*s = -3*q + 18, 3*s = 3*q - 3562 + 3574 for s.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-3)\/(-12) + (-1)\/4. Suppose 3*t - 2*t + 2 = 0, 3*c + 2*t - 44 = y. Let i = 25 - c. What are the prime factors of i?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, -8\/5, 2\/13, 3.\nAnswer: -8\/5, 2\/13, 0.5, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 5, b: 3, g: 2, r: 1, z: 1, w: 3}. What is prob of sequence zww?\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 4\/901  (b) 1\/3  (c) -1\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -0.5*-3804081\nAnswer: 1902040.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 115 = -7*u, -2*u - 48 = 2*o - 46 - 72 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let g(j) be the second derivative of -409*j**4\/6 - 200*j. Let d(b) = b**2. Calculate d(g(a)).\nAnswer: 669124*a**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.04 - -22.96. Suppose -868*r + 2 = -872*r - 2*k, -4*k + 22 = -5*r. Which is the closest to -3?  (a) r  (b) 0  (c) o\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 7, -11, 3, 5, -4, -3449 in increasing order.\nAnswer: -3449, -11, -4, -3, 3, 5, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: (1*(-24)\/15*-3)\/((-654)\/(-1090))\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -3?  (a) 2697066  (b) 4  (c) -1  (d) 0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -6, -55, -146, -279, -454?\n\"Answer: -21*r**2 + 14*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 450 a factor of 2472750?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (o**21)**(6\/11)\/((o*o\/o**(1\/3))\/(o**(18\/7)*o)) assuming o is positive.\nAnswer: o**(3086\/231)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 0*j**3 + 17*j**4 - 15*j**4 + 3*j - 2 + 2*j**3 to b*j**4 + d*j**2 + s*j + i*j**3 + v and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 254946*s + 353184.\nAnswer: 254946","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - 8 = 4*k, -116*d + 114*d + 10 = -5*k. Which is greater: -309 or d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-one fifths of a milligram in micrograms?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence iim when three letters picked without replacement from miiimiii?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*1*sqrt(13) - ((sqrt(52)\/sqrt(4))**2 + -1 - sqrt(13)) - (sqrt(468)*1*-1)**2.\nAnswer: -480 + 3*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -33*z**2 + z + 1 + z**3 + 33*z**2 - 2. Let x(m) = 4*m**3 - 2*m**2 + 5*m - 3. Determine -5*k(h) + x(h).\nAnswer: -h**3 - 2*h**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1.1 + 6.9. Let a = p + -78. Let g = a - -69.9931. Round g to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*q - 6 = -0*q. Suppose 16 = q*x + x. Solve 4*w = -16 + x for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -8*d - 3*o - 9, -o = -5*d + 15. Which is smaller: 29\/30 or d?\nAnswer: 29\/30","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1\/(2*(-2)\/(-12)). Let o(v) = -v**2 + 3. Let g be o(-3). Let c = k - g. List the prime factors of c.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) be the second derivative of 2*g**3\/3 + 469*g. Let m(f) = -207*f**2 - f. Calculate j(m(k)).\nAnswer: -828*k**2 - 4*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 492 and 597944.\nAnswer: 1793832","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(m) = 3*m**3 + 259*m**2 + 7*m. Let p(z) = -6*z**3 - 509*z**2 - 13*z. Give -11*f(i) - 6*p(i).\nAnswer: 3*i**3 + 205*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(288)*2 + sqrt(256)\/sqrt(2) + -4)**2.\nAnswer: -448*sqrt(2) + 6288","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1100, 2202, 3304, 4406?\nAnswer: 5508","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*v**2 - 2*v**2 + 5*v**2)*(2*v**2 - 2*v**2 + v**2) + (-609*v + 42*v - 9327*v**2 + 9325*v**2)*(4*v**2 + 0*v**2 - 2*v**2).\nAnswer: -3*v**4 - 1134*v**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 825 - 577. Suppose 10*i + d = 14*i. List the prime factors of i.\nAnswer: 2, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 48*d**2 - 21*d**2 - 13*d**2 - 17*d**2 as h*d**2 + j*d + b and give h.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 13.3?  (a) -18  (b) 3  (c) 0.036\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many milligrams are there in three eighths of a gram?\nAnswer: 375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -10*x**2 + x + 2. Let f(o) = -5*o**2 + 1. Give -9*f(b) + 4*r(b).\nAnswer: 5*b**2 + 4*b - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 90 in -0.127, 5, -2\/19?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let c be 0 - 0 - 20\/(-5). Suppose -2*b = -c*b. Suppose b = -0*m - m - 3200000. What is m rounded to the nearest one million?\nAnswer: -3000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*c - 4*q - 4, -2*q + 43 - 17 = 5*c. Let p be 6 + 9\/(-3) - c. What is the nearest to -1\/2 in -0.3, -5, p, 3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 25*n**6 + 6*n**4 + 5*n**3 + 4721*n**2 - 2?\nAnswer: 3000*n**3 + 144*n + 30","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 7, f: 4, m: 2, e: 4, k: 1}. Give prob of sequence ecf.\nAnswer: 7\/306","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -7*k**2 - k**3 + 4*k + 0*k**4 + 0*k**3 - k**4 - 3*k in the form x*k + u + b*k**3 + z*k**4 + m*k**2 and give b.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 4*i - q - 17, 29*i - 33*i - 2*q = -2 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2986011, -5972025, -8958039, -11944053, -14930067?\nAnswer: -17916081","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 8\/(-32) + (-9)\/(-4). Find the second derivative of 6*d**2 + 7*d**2 - 13*d**l - 14*d**4 + 8*d wrt d.\nAnswer: -168*d**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (496*t**4 - 7*t**5 - 496*t**4 + (t - t + 2*t**4)*(2*t + 3*t - 6*t) + 2*t**5 - 3*t**5 + 0*t**5)*(-6 - 51 - 12).\nAnswer: 690*t**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 426 a factor of 1753711?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 106578 and 20745?\nAnswer: 245662290","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*i + 3*i - 6*i. Solve i = -4*s - 7 + 3 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -5445416 or -5445415?\nAnswer: -5445415","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -54\/642901 and 41\/28.\nAnswer: 2571604","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + 2*o)*(1356 + 5550 + 1015).\nAnswer: 15842*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 64053?\nAnswer: 3, 11, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*c - 4*c - c**2)*(2*c + 5*c - 3*c) to p + r*c**3 + x*c**2 + v*c and give r.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00000609 to 6 decimal places.\nAnswer: -0.000006","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1243306 and 2402866?\nAnswer: 6442","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let n(w) = 3*w - w**3 + 2*w**2 + 6069 - 6040 + 3*w + 4*w**2. Calculate the remainder when 47 is divided by n(7).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*q + 60 + 193 = -89*q + 5863 for q.\nAnswer: 66","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -289 + 376. Suppose f + 150 - 47 = 0. Let m = 161 + f. What is the highest common factor of m and t?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -5*d. Let n = 10 + -21. Let r(h) = h**2 - 16*h. Let i(w) = n*v(w) + 4*r(w). What is the second derivative of i(t) wrt t?\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**1)**(-32)\/(a**(2\/11)*((a*a\/a**(-1\/6))\/a)\/a) assuming a is positive.\nAnswer: a**(-2135\/66)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -4 + 8. Suppose -5*y = -y - 2*g - 98, 0 = 5*y + x*g - 129. What is the units digit of y?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-3 - 2461\/(-828))\/(2\/(-16))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 60.97707 tonnes to micrograms.\nAnswer: 60977070000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**2. Let b(i) be the third derivative of -i**5\/20 + 1104*i**2. Let v(x) = x**3 - x**2 + x - 2. Let z be v(2). Determine z*b(o) + 15*h(o).\nAnswer: 3*o**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:53 PM and 2:37 PM?\nAnswer: 44","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 k and 1 c when two letters picked without replacement from {k: 2, d: 1, o: 1, c: 1}?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 109284\/9 + ((-20)\/(-15))\/4 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 6 - 4 + 2*g + 2*g**3 as m + x*g + h*g**3 + q*g**2 and give q.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 697 minutes after 2:42 AM?\nAnswer: 2:19 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -1308202*i**3*j**3 + 180*i**3*j**2 + 2*i**3*j*q**2 - 3474*i**2*q - i*j**3 - 5*j**3*q**2 wrt j?\nAnswer: -7849212*i**3 - 6*i - 30*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Product of 49.630778 and -2.\nAnswer: -99.261556","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2668 to the power of 1\/2, to the nearest integer?\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w(p) = p**3 + 3*p**2 - p - 2. Let k(b) = b**3 + 6*b**2 - 6*b + 10. Let u be k(-7). Suppose -3*m = 4*o + 2, -o - 1 = 2*m - u. Is w(o) a multiple of 3?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 179\/354736 smaller than 0?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 623459 rounded to the nearest ten thousand?\nAnswer: 620000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -9642 + 9649. What is the least common multiple of 1 and l?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 10\/(-20) + (-539)\/(-2). Suppose 5*r + w = -5*s + 2879, 2*r - 1048 = -4*s. Does 13 divide r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 216?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = 2*d - 9. Suppose -49*c = -50*c. Solve c*f = d*f - 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 206758 * 1\nAnswer: 206758","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 4*w + 6. What is m(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) -4  (b) -0.4  (c) 23121  (d) -0.3  (e) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 67831\/22128 - 4\/1383. Find the common denominator of x and ((-74)\/4)\/(-1 - -2 - -5).\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -3\/151, 2\/15, -1, -0.5?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 212 + -195. What is the remainder when 68 is divided by s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 270 and 390.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 92.552 + -92.5. Which is the smallest value?  (a) -1  (b) -10  (c) p\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(16)\/(sqrt(64)\/sqrt(8)) + 5)**2.\nAnswer: 10*sqrt(2) + 27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:58 AM and 10:39 PM?\nAnswer: 641","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = -28*z - 20. Let f(x) = 13*x**3 - x**2 - 4*x - 2. Let q be f(-1). What is the tens digit of y(q)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 5}. Give prob of sequence ffff.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*b**3 - b**3 + 16*b**3 - 16*b**3.\nAnswer: 2*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (16\/(-20))\/(8\/20). Let z be 3\/(-9) + (-34)\/(-3). Let x = r + z. What is the remainder when x is divided by 5?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j + 12 = 9*j - 2*q, -4*q - 17 - 31 = 0 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -221 or -33719\/152?\nAnswer: -221","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -31*m + 2938 = -19*m + 101*m. Suppose 2*k - 29 = -5*i, -k - 21 = -4*k - 3*i. Solve -4*x - 4*t = -k*t - m, 8 = -3*x + 4*t for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dsddmlmdslddmsd. What is prob of picking 2 s and 1 d?\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*u + 260 = -8*u. Sort u, 0, 4, -1.\nAnswer: u, -1, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 0, 12, 10\/3, -2\/21?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000045 rounded to four decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -k = 2*k - 27. Suppose -11*o + 233 = -31. What is the remainder when o is divided by k?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) be the first derivative of -k**6\/6 + 76*k**5\/5 - 142*k**4 + 1664*k**3\/3 - 1096*k**2 + 1088*k - 703. Find v, given that b(v) = 0.\nAnswer: 2, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-2)\/9 - (-20)\/9. Let v(d) = k*d**2 + 0*d - 1 + 2*d + 8*d**2 - 11*d**2. Let n be -1*(1*-2 - -1). Determine v(n).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 4 = 4*y - 2*s, -4*s + 24 = 3*y. Let d be (3 + -3)\/(4 + -2). Suppose -3*w - 2*w + 25 = d. Sort -1, w, y.\nAnswer: -1, y, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z**3 + 7*z**2 - 32*z - 3. Give d(-10).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 7433 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 2*b = 0, -3 = -4*s + 5*b - 1. Let h be 2\/(-4) + s\/(-4). Solve -6*x + x + 25 = h, -5*j - 15 = x for j.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*x - 6*x = 294. Let n(b) = x*b - 30*b - 21*b. Let q(u) = -5*u**2. Determine n(q(z)).\nAnswer: 10*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*d**5 - 11*d**5 - 49*d**5 + (d**3 - d**4 - d**3)*(0*d + 2*d - d).\nAnswer: -55*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (4 + 2)\/(6\/4). Suppose 7*s = 10 + r. Solve -2*q = -0*q + s for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 11 - 8. Let o be (-4)\/10*1*5. Let t be (-10)\/(-6) + o\/3. Calculate the greatest common factor of x and t.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 6812 and 524.\nAnswer: 6812","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 65185.97612 to the nearest 10000.\nAnswer: 70000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -47046\/13 + 3619. What is the closest to 2\/3 in u, -0.73, 1\/2?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -121 - 86. Suppose 609*x - 605*x + 22 = 2*m, 4*x + 28 = -4*m. Put r, m, 3 in descending order.\nAnswer: 3, m, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 472264?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001313263053 to seven dps.\nAnswer: -0.0013133","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 5290 and 46.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -832300141 and -9?\nAnswer: 832300132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -14775, -29546, -44317, -59088, -73859?\n\"Answer: -14771*i - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 580147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25 - 2106*p**2 - 25 - 2090*p**2 + 6279*p**2 - 2072*p**2.\nAnswer: 11*p**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2.1 + -2. Let n = 237 - 236.8. Sort d, n, 3.\nAnswer: d, n, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-5)\/3)\/(3\/(-9)). Suppose -n = -4*a - 0*n + 89, d*a + n = 109. Let p = -13 + a. Solve -b = 3*q + p + 5, 18 = -3*b - 3*q for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 72 - 69. Let n be ((-98)\/30 + q)*5\/2. Which is the nearest to -1?  (a) 5  (b) n  (c) -2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 10*o**4 + 10*o**3*z + 23*o**2 - 70056*o*z wrt o?\nAnswer: 120*o**2 + 60*o*z + 46","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(637)*3.\nAnswer: 21*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose r - 148 = -4*r - 2*i, -2*r - 4*i = -72. Let w = 48 - r. What is the least common multiple of 20 and w?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14680688, -29361379, -44042070, -58722761?\nAnswer: -73403452","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -110*j + 8522 = 3022. Solve 5*s + 30 = j for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 69109 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 922077 to the nearest integer?\nAnswer: 960","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -16*q + 714. Let y be 3*(-90)\/(-7 + 1). Give n(y).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*u + u + 15. Let k be 6*((-2)\/u - 2). Let x(b) = -b**2 - 7*b. Let n be x(k). Is 2 < n?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4 * -12315\nAnswer: -49260","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 887?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 3*d - 300 = 0. Suppose d = 6*u + 6. Calculate the remainder when 33 is divided by u.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -759 - -759. Let t be 8 + (j - 9) + (-34)\/(-18). What is x in 0*x + 0 - 2\/9*x**5 + 8\/9*x**4 + 2\/9*x**3 - t*x**2 = 0?\nAnswer: -1, 0, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*r**3 + 24702*r**2 + 77529840*r + 7725695456.\nAnswer: 2*(r + 103)*(r + 6124)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3.4 + -4. Let q = 0.6 + z. Let h = -0.2 + 1.2. Which is the third smallest value?  (a) q  (b) h  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7 - 7.3. Let s = 4 + -36. Let u be (4*(-2)\/s)\/(6\/8). Which is the third biggest value?  (a) -5  (b) u  (c) r\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + 35 = 3*c, 6*c = c + 5*s + 60. Let g = 3 + 1. Suppose g*n = 26 + 18. What is the lowest common multiple of c and n?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = -2*l**2 - 279*l - 9125. Calculate h(-52).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -75986, -76145, -76302, -76457, -76610?\nAnswer: -76761","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 o, 1 r, and 1 q when four letters picked without replacement from {r: 5, o: 2, a: 3, h: 5, q: 3}?\nAnswer: 1\/204","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 38 + -18. Let p(a) = a**3 - 71*a**2 + 70*a + 36. Calculate the remainder when p(70) is divided by j.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = s + n, -2*n = -19 + 7. Let a(p) be the third derivative of 1\/24*p**4 + 0*p - 19*p**2 + 1\/180*p**5 + 1\/9*p**s + 0. Factor a(l).\nAnswer: (l + 1)*(l + 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.097 and 36.\nAnswer: 36.097","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 418917436.\nAnswer: 2, 7, 14961337","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 - 5 + 0)*(-2 + 2*l + 2) + 6*l - 4*l + 7*l.\nAnswer: 5*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 6912223 to the power of 1\/3, to the nearest integer?\nAnswer: 190","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 5  (c) 1\/19134316\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.86 - -0.14. Let w = 162 - 161.8. Which is the closest to 1\/2?  (a) l  (b) -0.05  (c) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) be the second derivative of 3*m**5\/4 + m**4\/6 + 2*m**3 + 5*m**2\/2 + 103*m. Find the second derivative of t(j) wrt j.\nAnswer: 90*j + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in -1, -0.05, -1\/4, 0, -0.3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:27 AM and 5:26 PM?\nAnswer: 719","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence oeey when four letters picked without replacement from {z: 4, c: 9, e: 4, o: 1, y: 2}?\nAnswer: 1\/4845","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 6?  (a) -1.9  (b) -2\/15  (c) -0.4  (d) -1\/5  (e) -6  (f) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 57140*h + 5*r + 10 = 57145*h, -3*r + 6 = h for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_test"},"subset":"dm_maths"}
{"text":"Question: Calculate -0.4*-11.\nAnswer: 4.4","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 + 2 = -3*q - o - 4, -3*o + 60 = 0 for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u**(1\/15)\/u)\/u)**(-33)\/(u*u\/(u\/u**(-49))*u**(-14)))**(-1\/16) assuming u is positive.\nAnswer: u**(-629\/80)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-h - 2*h + h)*(-h - h - h) + 373*h**2 - 136 + 137 - 138*h**2 to the form y*h + f + k*h**2 and give f.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**2 + 7*w + 7. Let j be f(8). Let a be -3 - (2 + j)*0. Let h(y) = -y - 1. Let k be h(a). Is k <= 4\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*r + 21 = 5*h, 5*r = -3*h - 123 + 204 for r.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 24827782 or 24827781?\nAnswer: 24827782","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence cx when two letters picked without replacement from {q: 5, x: 1, k: 1, c: 3}?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 4*r**2 - 6*r**2 + 23*r**5 + r**2 - 32*r**5 wrt r?\nAnswer: -540*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ggiggiiuurriiniu. Give prob of picking 1 n and 3 u.\nAnswer: 1\/1820","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 154*z - 130*z = -216 for z.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 332592, 665140, 997688, 1330236, 1662784?\n\"Answer: 332548*p + 44","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = v**2 + 137*v + 2707. Give s(-26).\nAnswer: -179","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 12*a + 1. Let k(p) = -p. Let d(t) = i(t) + k(t). Let o be d(1). Solve 2*n + 6 = 4*j, -5*n = -5*j + 3 + o for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 116 and 12.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the third derivative of -r**4\/24 + 29*r**2. Let f be w(-8). Which is smaller: 9 or f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1279367 and 84.\nAnswer: -107466828","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -288 or -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.02286477 to 3 dps.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p\/((p**6*p*p)\/p*p))\/((p*p**(-2\/3)\/p)\/p*p)*(p*p*p\/(p*(p*p**2)\/p))\/p**(-1) assuming p is positive.\nAnswer: p**(-16\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 21036.8 - 20951.727. Let v = -83 + y. Round v to one dp.\nAnswer: 2.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 20 = 0, -12*p - 7*r - 16*r = 5*r - 25*r - 315 for p.\nAnswer: 25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 2*b**5 + b**2 + 2*b + 1. Let g(j) = 21*j**5 + 474*j**4 + 258*j**3 - 657*j**2 - 267*j + 189. Let z(h) = g(h) - 3*s(h). Let z(r) = 0. Calculate r.\nAnswer: -31, -1, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 9775 - 9780. Suppose i = -1 + 3. Which is the nearest to 0.3?  (a) i  (b) 0.1  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.3 times -7?\nAnswer: 2.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -38 and -1.252699?\nAnswer: 47.602562","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 929 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve 730*d = 32166 - 2966 for d.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 68\/3 of a minute?\nAnswer: 1360","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2, -24, -54, -92, -138?\nAnswer: -192","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 56\/23, 3\/5, -1, -5, 2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 - (67368\/924 + -73).\nAnswer: -10\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 1111110111001011101 (base 2) to base 15\nAnswer: a4018","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 78\/(-52)*((-4)\/6)\/(-2).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 4456689252?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*i + 18*i = 135. Factor 4\/5*k**3 + 0 + 0*k - 2\/5*k**2 + 8\/5*k**i + 14\/5*k**4.\nAnswer: 2*k**2*(k + 1)**2*(4*k - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -20858*w**5 + 2*w**2 - 183585*w wrt w.\nAnswer: -417160*w**3 + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 2 - 4266?\nAnswer: -4264","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -22 + 41?\nAnswer: 1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(g) be the second derivative of g**5\/20 + 5*g**4\/6 + 2*g**3 - 2*g**2 + 735*g. What is h(-8)?\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find z such that -5*z**5 - 490*z**4 - 12870*z**3 - 100820*z**2 - 254965*z - 166530 = 0.\nAnswer: -61, -26, -7, -3, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3417832838.\nAnswer: 2, 7, 353, 691589","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f = -6, -w + 2*f - 106 = 6*f. Let d = 113 + w. Sort 0, 1, -2, d.\nAnswer: -2, d, 0, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -304*f**2 + 7*f + 5.\nAnswer: -608","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 54 - 50. Determine f so that -3*f**3 - 3*f**2 + 3*f - 3*f**g - 2*f**4 + 10*f**4 - 2*f**4 = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 35 + -20. What is the derivative of -8*j + 1 + w*j - 3*j - 8 wrt j?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -2\/66737, 1\/6, 189?\nAnswer: -2\/66737","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 6\/((-9)\/6 - (-245)\/154). What is the highest common divisor of g and 24?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 9 - 2dc?\nAnswer: -2d3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = v + 7. Let w = -2 + -1. Let x(h) = 5*h**3 + h**2 + h - 1. What is the remainder when x(1) is divided by a(w)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 139 + -115. Are u and 25 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bgd when three letters picked without replacement from rdnbrrndrdgrddmdggbr.\nAnswer: 1\/190","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -10*k - 294*k**4 + 14*k**2 + 149*k**4 - 1 + 17*k**2 + 141*k**4 to the form i*k + u*k**4 + q*k**3 + f + o*k**2 and give u.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 180742 is divided by 226.\nAnswer: 168","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3.12 in -0.3, -2, -10?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2 + 53*l - 307*l - 147*l.\nAnswer: -401*l - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 14*(-25)\/(-29400)*-6\nAnswer: -1\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3044404233 - 313?\nAnswer: -3044410101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let k(b) = 14*b**2 - 8*b - 17. Let m be k(-6). Suppose 2*l - g - 2372 = 0, -2*g + 5404 + m = 5*l. Is l a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (31600\/(-75))\/158*(-6)\/(-712).\nAnswer: -2\/89","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*s**2 + 483*s - 185*s - 148*s - 150*s - 2*s**2.\nAnswer: 4*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1.3?  (a) 0  (b) 0.8  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + sqrt(931) + 2 + -1 - (sqrt(114)\/(sqrt(24)\/sqrt(4)) - ((sqrt(171) - sqrt(171)*4) + sqrt(171))\/sqrt(9))**2.\nAnswer: -168 + 7*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u*u\/(u*u\/(u\/(u*u*u*((u\/(u**(-2\/5)\/u))\/u*u*u)\/u*u)*u))*u)\/u*u)**(-3\/4)*u\/u**(-3\/4)*u*u*u\/u**(-2\/21))**(-38) assuming u is positive.\nAnswer: u**(-29507\/105)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*(sqrt(1573) + -1)**2 - sqrt(1573).\nAnswer: -9444 + 121*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2 or -326\/107?\nAnswer: -326\/107","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-40)\/(-80))\/((-2)\/16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3060*j = -3062*j - 6 for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 1367 - 1337.54. Let g = 0.54 + l. Let n = g - 29.99999949. What is n rounded to 7 dps?\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57452*i**2 - 17502*i**2 - 19978*i**2 - 19975*i**2.\nAnswer: -3*i**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 9894 divided by -2\nAnswer: -4947","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-44)\/(-120) - (-2)\/15. What is the closest to -1 in -0.3, l, 5?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -576, -10378, -38586, -94404, -187036, -325686, -519558, -777856?\n\"Answer: -1534*b**3 + b**2 + 933*b + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -20, -0.3, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 1 + 259c8?\nAnswer: 259c9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -4*q - 18. Let a(c) be the second derivative of c**7\/2520 + 21*c**4\/4 - 29*c. Let w(s) be the third derivative of a(s). Give b(w(k)).\nAnswer: -4*k**2 - 18","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 855 + 777 = 0. Suppose -m = -4*l + 58, -3*l = 2*m + l + 92. Let h = b - m. What is the units digit of h?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*k - 30*k + 110 = 0. Solve -4*q + 12 = 2*g, -k*q + 0*q = g - 21 for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*q - q**2 + 4*q)*(-q + 2 - 2) + 5*q**3 - 3*q**3 + 2*q**3 + q**3 - 18*q**3 - q**3.\nAnswer: -13*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -432 + 431.687. Let w = d - -0.413. Let l be (1\/4)\/((-10)\/8). What is the closest to w in l, 0, 3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.14334298 rounded to five decimal places?\nAnswer: -0.14334","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-five halves of a kilometer in meters?\nAnswer: 12500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 17063104?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (39*3\/108)\/(106\/1272)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -z**3 - 2*z. Let d be i(0). What is the remainder when 64 is divided by -3*(-1 - d)*(21 + -10)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 23\/13272 and -29\/9954?\nAnswer: 39816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**29*x)**(-1\/17) assuming x is positive.\nAnswer: x**(-30\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 69 minutes before 4:47 AM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -35 <= -31?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t**4\/3 - 5678*t**3 + 625447*t**2\/3 + 2598164*t - 1583780\/3 = 0 for t.\nAnswer: -3443, -10, 1\/5, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 43767*a. Let j(d) = 5867*d. Determine p(j(z)).\nAnswer: 256780989*z","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve c - f + 5 = 3, -7 = -4*c + f for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5002878?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*z**2 - 120*z.\nAnswer: 5*z*(z - 24)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is m in -178\/7*m + 2\/7*m**2 + 1296\/7 = 0?\nAnswer: 8, 81","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -19 + 27. Let z = p - 7.7. Let s = 1401\/22 + -127\/2. Which is the smallest value?  (a) s  (b) z  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 775 < 775?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 5 - 1. Let k be 17*((-2)\/1 - 15\/(-3)). Suppose 2*q = -45 + k. Solve 4*v + 8 = -q*f, v - f - c = 3*v for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*t + z - 59, -89*z + 99*z - 90 = 2*t + 308 for t.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) = c**3 + c**2 + 5. Let g be a(0). Let t be (332\/(-4))\/((-9)\/(-45)). Let i = t - -440. Solve 5*f + g = i for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v + 4*s - 11 + 59 = 0, v = -2*s + 12. Let l(g) = 2*g**2 - 2*g**2 - g**2 + 15*g - 10 - 8. Let d be l(v). Is d >= 18?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 8708*k*o*q**4 + 2*k*o*q**3 + 9*k*o*q**2 + 6*k*o*q - 2*k*o - 37*k - q**4 wrt q?\nAnswer: 208992*k*o*q + 12*k*o - 24*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 5*d = 245, 5*d - 67 = -0*j - j. Let x be 1 - -2 - (-9 + 9). Let r = x - -24. Calculate the remainder when j is divided by r.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 171 minutes after 12:56 PM?\nAnswer: 3:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -819 - -819.187. Let n = d + 0.213. Let p = -733\/1743 + -2\/249. Which is smaller: n or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 103\/110 and 73\/28006.\nAnswer: 140030","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -216 = 3933*l - 3861*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let o(v) = -2*v**2 - 5*v + 2. Suppose -4*c + 7*c - 12 = 0. Let j(x) = 5*x**2 - 1 - 2*x + c*x - x - 4*x**2. Let w(r) = -j(r) - o(r). Give w(-2).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3 = u, 3*u + 4 = k - 4 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*c + 31 + 89 = 5*y, -4*y + 3*c = -75. What is the remainder when 35 is divided by y?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 13149\/2 + -216880\/33. Find the common denominator of q and 5\/44.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -395*t**3 + 77 - 77 - 113*t**3.\nAnswer: -508*t**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 56922796?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/(z\/(z**(16\/3)\/z)*z))\/((z*(z\/((z*z**(-14))\/z*z*z)*z)\/z*z*z)\/z*z))**(-42) assuming z is positive.\nAnswer: z**532","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-7)\/4 - -2)*-3. Let y be ((-278)\/(-10))\/(10\/30). Let n = -84 + y. Which is the nearest to 0.1?  (a) n  (b) i  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (-195)\/(-6)*((-22530)\/434700 - (-2)\/36) and -13\/35?\nAnswer: 1610","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5*6*(5 + sqrt(288))*6 + -5)*-1)**2.\nAnswer: 3909600*sqrt(2) + 10150225","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from clcchhlc. Give prob of sequence clhc.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Does 66 divide 2099712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4890*r**2 - 4922*r**2 + 24*r**3 + 9808*r**2.\nAnswer: 24*r**3 - 4*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 10\/2*(-2)\/(-5). Suppose -165 = -x - p*x. What is the highest common factor of 5 and x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -47203492 divided by 4\nAnswer: -11800873","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) be the second derivative of j**5\/20 - 5*j**4\/6 + 7*j**3\/3 + 2*j**2 - 16*j. Let l be z(8). Is 12 a factor of (-1767)\/l + (-15)\/(-20)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -16*s - 3. Let a(x) = -481*x - 91. Let w(v) = -3*a(v) + 91*h(v). Let q(m) be the second derivative of m**4\/6 + 11*m. Calculate w(q(k)).\nAnswer: -26*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1427653920.\nAnswer: 2, 3, 5, 7, 11, 19, 107","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26221*d - 26325*d - 1456 = 0. Which is the nearest to d?  (a) -2\/3  (b) -2  (c) 3\/2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (132\/(-165))\/2*(-130)\/(-4).\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -605, -2010, -4355, -7640?\n\"Answer: -470*s**2 + 5*s - 140","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -76 + 1138943\nAnswer: 1138867","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 119228 and 1804.\nAnswer: 164","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2 or 235\/307?\nAnswer: 235\/307","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -4*p - 39. Let x = p + -35. Suppose x*i - 7 = 13. Solve 3*q - 16 = 4*h, i*q - 2 = -5*h + 13 for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -12951320 divided by 376.\nAnswer: -34445","meta":{"dup_signals":{},"source":"arithmetic__div_test"},"subset":"dm_maths"}
{"text":"Question: Let n = -3721 - -3757. Solve -14*m - n = 34 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 32358 and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-13)\/(78\/24)*1.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 456065 and 318?\nAnswer: 2736390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f - 4*w + 28 = 0, 3*w - 7 = 2*f + 7. Let u = -98 - -98.1. Let m = -739 - -746. Sort m, 0.2, u, f in ascending order.\nAnswer: f, u, 0.2, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*m**4 - 520*m**3 + 12440*m**2 + 56160*m + 58320.\nAnswer: 5*(m - 54)**2*(m + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 52341 and 5037.\nAnswer: 219","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = -25*k**2 - 3*k. Let m(z) = 5*z**2 - 8*z + 12. Let j(b) = -6*b**2 + 10*b - 15. Let y(w) = 4*j(w) + 5*m(w). Give y(t(i)).\nAnswer: 625*i**4 + 150*i**3 + 9*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -727*k + 63756 = 197*k for k.\nAnswer: 69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*q = -4*b + 12 + 7, -q - 5*b = -10. Suppose -8 + 118 = -q*o. Is -22 <= o?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 20 + -18. Suppose -4*v = -3*v. Suppose v = b*k - 10 - 2. Calculate the lowest common multiple of 2 and k.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51257 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 134674759?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 400 minutes before 9:44 AM?\nAnswer: 3:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 281*n - 6307. What is u(24)?\nAnswer: 437","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -107\/5270670 and -25\/873.\nAnswer: 511254990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 110 a factor of 1540?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 96044 is divided by 19030.\nAnswer: 894","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the third derivative of 0 - 5\/6*q**4 + 1\/3*q**6 + 8*q**2 - 5\/84*q**8 - 4\/105*q**7 + 4\/15*q**5 - 4\/3*q**3 + 0*q. What is u in w(u) = 0?\nAnswer: -1, -2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22 = -2*y - 2*o, 3*y - 4*o + 32 = 5*y. Let c(i) = -15*i - 17*i**2 + 14*i**2 - 6 - y + 4*i**2. Let x be c(16). Put 15, x, -1 in decreasing order.\nAnswer: 15, x, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**2 - 35*q - 185. Let j be h(-29). Let k(s) = s**2 + 16*s + 81. Calculate the remainder when k(j) is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25*v**2 + 36*v**2 + 26*v**2 + 28*v**2 + 30*v**2 - 147*v**2.\nAnswer: -2*v**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 1625 a multiple of 88?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: (14 - 11 - -7) + -19\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 384856 (base 9) to base 13.\nAnswer: 82224","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -117.1*-30.9.\nAnswer: 3618.39","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -161\/17760 and -47\/10110.\nAnswer: 5985120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 99581?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0011297087 rounded to seven decimal places?\nAnswer: 0.0011297","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 114 or -10?\nAnswer: -10","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 132879*z**3 - 265796*z**3 + 132914*z**3.\nAnswer: -3*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -591*c*g + 13*c*s**3 + 4*g*s**4 - g*s**3 - g*s**2 - 1782*g*s - 803*s**4 wrt s?\nAnswer: 78*c + 96*g*s - 6*g - 19272*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 111 (base 8) to base 4.\nAnswer: 1021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 211b8 - -11?\nAnswer: 21209","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 7\/6*(-12)\/(-21)*-6. Let c be (0 + 0)\/(8\/v). List the prime factors of 0 + (-2 - c) - (-304)\/4.\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 111\/6 + (-3)\/2. Determine u, given that 17*u**2 + 13 - b*u**2 + 18*u + 8 - 3*u**2 = 0.\nAnswer: -1, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r = -2*u + 82 + 128, -u + 105 = -4*r. Let n be (42\/(-5))\/((-30)\/100). Let l = 63 - n. Calculate the highest common factor of u and l.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 2 f, and 1 a when four letters picked without replacement from {z: 2, a: 1, f: 2}?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 23 + 1243\/(-77) + -7.\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 4 = -0. Suppose w - q*w = 6. Let u(o) = -2*o - 9. Let b be u(w). Solve -b*l - 2*l + 25 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-4)\/10 + 276\/15. Let d = 102 + -101. Let l be 2 - (2 - 2 - 0). Solve -5*q + 2*t + z = 0, -d = 3*q + l*t + 1 for q.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 2*d*z**3 + 73*d*z - 91*d wrt z?\nAnswer: 6*d*z**2 + 73*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Total of 16059.44 and -106.\nAnswer: 15953.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 3202 + 12?\nAnswer: 3220","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 63 and 99?\nAnswer: 693","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -16634, -15508, -12442, -6464, 3398?\nAnswer: 18116","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) = -p**2 - 7*p - 28. Determine r(-8).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a - 3*a - 2*a**2 + 3*a)*(-89 + 175 - 14).\nAnswer: -144*a**2 - 72*a","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 435186 and 108.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((w\/(w\/w**31))\/w)\/(w\/(w*w**(17\/2))*w*w)*w**(-12)\/((w*w**(3\/8))\/w) assuming w is positive.\nAnswer: w**(193\/8)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7 - 21 = 2*m. Let g = -5 - m. Let c(z) = z**3 - 9*z**2 + 9*z - 9. Let i(q) = -q + 0 + q**2 + 0*q + 1. Give g*c(d) + 18*i(d).\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = -d**3 + 6*d**2 + 5*d + 6. Determine q(7).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Round -2.9797 to 2 decimal places.\nAnswer: -2.98","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -37, -339, -1149, -2719, -5301, -9147, -14509, -21639?\n\"Answer: -42*l**3 - 2*l**2 - 2*l + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that 3*l**5 - 30*l**4 - 9*l**3 + 420*l**2 + 588*l = 0.\nAnswer: -2, 0, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 4 - 1. Let o(i) = -4*i**2 - 8*i - 1. Let y(q) = -8*q**2 - 17*q - 1. Let r(k) = t*y(k) - 7*o(k). What is the remainder when r(-3) is divided by 14?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.5, 2347, 7.58, 1\/21, 1?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from tbta. Give prob of picking 2 t.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 595942363 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-2)\/(-5) + 44\/(-10). Let o = 43128.5 - 43129. Which is the nearest to -1\/4?  (a) 1\/5  (b) h  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.1055 rounded to 2 dps?\nAnswer: 1.11","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 151638 and 48954?\nAnswer: 1194","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -433431 (base 6) to base 7\nAnswer: -206245","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.7 - 4.7. What is the nearest to 0.3 in -1, 3\/4, b?\nAnswer: 3\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l - 5*l + 4 = 0. Does 2 divide (-13 + -5)*l\/(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 7457485639399374.05000102 - 7457485752463418. Let g = q + 113064043. Let f = 0.95 + g. Round f to 7 dps.\nAnswer: 0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 11*c**4 - 2*c**3*u + c**2*u*w + 2*c**2 + 10*c*u - 2*c - 4*w wrt c.\nAnswer: 132*c**2 - 12*c*u + 2*u*w + 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = -2*z**3 + 37*z**2 - 49*z + 1295. Let o be i(19). Factor 12\/5 + 9*a + 24\/5*a**2 - 9\/5*a**o.\nAnswer: -3*(a - 4)*(a + 1)*(3*a + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve f + 4*o - 38 = 7*o - 10, -5*f = 11*o - 36 for f.\nAnswer: 16","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 15*q - 45. Let t(w) = -91 + 31*w + 5 - 7 + 4. Let g(m) = -5*f(m) + 2*t(m). Differentiate g(p) with respect to p.\nAnswer: -13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 6931?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*b**4 - 1290763*b**3 + 19858*b**2 - 52*b + 1?\nAnswer: 144*b - 7744578","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Factor 88 + 76 - 35*j - 134 + 10*j**3 - 38*j**2 - 17*j**2.\nAnswer: 5*(j - 6)*(j + 1)*(2*j - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 h, 1 d, and 1 q when three letters picked without replacement from hdhmdhdhhdhdhdqh.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j - 1 = -2*h, 2*j = 3*j - h - 3. Suppose 8*x - 25 = -j. Let d(v) = -v + 8. Let c be d(8). Solve c = -x*m + 2 - 11 for m.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 852*u - 2. Let j(n) = -26911 + 2*n**2 + 13454 + 3*n**2 + 13457. Give i(j(q)).\nAnswer: 4260*q**2 - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -w**2 - w + 8. Let z = 7 - 7. Calculate p(z).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 24\/121?\nAnswer: 24\/121","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -8672, -8669, -8656, -8627, -8576, -8497, -8384, -8231?\nAnswer: -8032","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put 324, -4, 66, 49, -1 in decreasing order.\nAnswer: 324, 66, 49, -1, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 - 8*m**2 - 13*m - 17. Calculate l(-5).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -4  (b) -2\/11  (c) 1\/28068491  (d) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -25, -4, -17, -21 in descending order.\nAnswer: 0, -4, -17, -21, -25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1965221 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 6873, 6874, 6877, 6882?\nAnswer: 6889","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 405903?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:25 PM and 6:13 AM?\nAnswer: 708","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:41 PM and 2:17 AM?\nAnswer: 156","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 407831 is divided by 106.\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -219 - v + 113 - 67*v**2 + 140 to the form m*v**2 + s*v + y and give m.\nAnswer: -67","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Product of 27.97 and 9.\nAnswer: 251.73","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -27991 + 27998. Sort i, 0.9, -62 in decreasing order.\nAnswer: i, 0.9, -62","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = s. Let t be n(7). Suppose -y - 18 = 2*c, -2*y = 3*c - 0*y + 25. Let w = c + t. Let j(b) = -b**3 - 3*b**2 + 4*b + 3. Calculate j(w).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -5\/24, 3004, 5, -0.6?\nAnswer: -5\/24","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 300 a factor of 200783?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 19*q**4 - 347637*q**3 + 2846636*q + 1?\nAnswer: 228*q**2 - 2085822*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let x(p) = p - 2. Suppose 0 = 3*c - 5 - 55. Suppose -3*k + c = 2*k. List the prime factors of x(k).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*(-4 + -5*(1 + -1*sqrt(2299))).\nAnswer: -275*sqrt(19) + 45","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.18 in -5, -2\/7, 1.2, -8173?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = -20*s. Let u(m) = -13*m + 4. Let k(z) = -41*z + 11. Let h(a) = 2*k(a) - 7*u(a). Let o(j) = 7*j - 5. Let l(r) = -5*h(r) + 6*o(r). Calculate i(l(f)).\nAnswer: 60*f","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -5, 11 in descending order.\nAnswer: 11, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 5 (base 13) in base 15?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -45293*x = -45171*x - 8540 for x.\nAnswer: 70","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is -653 at most as big as -652?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m + 700 = -m + 2*p, 4*p + 1384 = 2*m. Is -115*(m\/(-10) + -5) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) be the first derivative of -s**7\/588 + s**6\/180 - s**5\/210 + s**3\/3 + 1. Let f(r) be the third derivative of a(r). Let f(z) = 0. Calculate z.\nAnswer: 0, 2\/5, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7*16\/(-12)*3*38\/152?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express -326*d**2 + 8 + 3 - 5 + 659*d**2 + 90*d - 327*d**2 in the form s + g*d**2 + l*d and give g.\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -34.6 + 37.59. Let l = 0.01 + b. What is the biggest value in -2\/5, l, -1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 67133881 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 18.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let 9*s**5 - 69*s**4 + 138*s**3 + 54*s**2 - 243*s - 81 = 0. Calculate s.\nAnswer: -1, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Are 0 and -2\/25371 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*n + 18 = 3*y, n + 7 = -5*y - 3. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2.007 - 0.007. Let u = 83 + -87. Sort 1\/9, l, u.\nAnswer: u, 1\/9, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2208.72 + 0.02?\nAnswer: -2208.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10806577 by 1037.\nAnswer: -10421","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-297)\/6*(-16)\/(-30)*62\/((-6200)\/(-125))?\nAnswer: -33","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttc when three letters picked without replacement from {t: 3, c: 9}.\nAnswer: 9\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.98 + -0.02. Let d = g - -2. Let m be 1*27\/9 + 0. Sort 3\/8, d, m in increasing order.\nAnswer: d, 3\/8, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve s + 2*k = -15, -37 = 2*s + 5*k - 2 for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -10  (b) 0.51  (c) 1\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = -t**2 - 4*t - 2. Let r be y(-2). Let v be 5\/3*((-4)\/r)\/2. Which is the smallest value?  (a) 2  (b) 3  (c) v  (d) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 424 and 371?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 21\/23215790 and -31\/30.\nAnswer: 69647370","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 27963413 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = 52*l**2 + l + 807. What are the prime factors of u(0)?\nAnswer: 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find t, given that -t**5\/3 - 3*t**4 - 9*t**3 - 31*t**2\/3 - 4*t = 0.\nAnswer: -4, -3, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = u**2 + 30*u - 5106. What is a(56)?\nAnswer: -290","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(63)\/(sqrt(7)*1))\/sqrt(3) + -4 + sqrt(27) + 5*(-1 + sqrt(3)) + sqrt(3))**2.\nAnswer: -180*sqrt(3) + 381","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 113*c**5 - 3*c**4*f - 90*c**2*f wrt c?\nAnswer: 6780*c**2 - 72*c*f","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 148513121 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((a*a**(-2\/3)\/a)**(-44))**(-34) assuming a is positive.\nAnswer: a**(-2992\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 900621663?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 363 + -341. Let i(q) = 13*q - 125. Let h be i(g). What is the highest common divisor of 7 and h?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1908 and 8.\nAnswer: 3816","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d(j) = j - 2. Let y(a) = a - 3. Let o(q) = 6*d(q) - 4*y(q). Let g(b) = -5*b**2 - 4. Determine o(g(t)).\nAnswer: -10*t**2 - 8","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = 2*f**3 + 3*f**2 + f - 3*f**2 - 2. Let a = 484 - 486. Let h(z) = 5*z - 5. Let m(n) = 14*n - 14. Let k(y) = -17*h(y) + 6*m(y). Give a*k(s) - b(s).\nAnswer: -2*s**3 + s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = q - 6. Let j(s) = -s**3 + 10*s**2 - 9*s + 6. Let k be j(9). Let d be x(k). Is d not equal to -7\/10?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b = -2, 49 = h + 3*b + 54 for h.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 380 is divided by 140.\nAnswer: 100","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 20452784 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -10 - -210021021211?\nAnswer: 210021021201","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 9 = 5*o, -4*o - 5 = -3*m + 4. Suppose o = -d + y + 9, d + 15 = 5*d + 3*y. Does 2 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(o) = -2*o + 3*o - 2*o + 3*o. Let y(p) = -10*p**2. Calculate y(i(z)).\nAnswer: -40*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*q = 3*q. Suppose -2*o + q*o + 6 = 0. Suppose -2*v + 7 + o = 0. Solve v*d - 4*r + 19 = 0, 7*r - 4*r = d + 6 for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1438734 and -3.023.\nAnswer: 1438730.977","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1.6 and 1.2167449.\nAnswer: -0.3832551","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -5  (b) -3\/2  (c) 0.5  (d) -580\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x(o) = 2*o. Let h(p) = 63*p + 1. Give -h(i) + 4*x(i).\nAnswer: -55*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -11 - d7a?\nAnswer: -d8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27 = -21*p + 18*p for p.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = 555595301*z. Let a(h) = -h. Determine p(a(m)).\nAnswer: -555595301*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Factor -i**3\/6 - 32491*i**2\/6 - 108273*i\/2 - 97443\/2.\nAnswer: -(i + 1)*(i + 9)*(i + 32481)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let j(x) = 2*x**3 - 31*x**2 + 8*x + 110. What is j(15)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 13730030?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j - 3*j - 2*b + 108 = 0, -2*j + 5*b = -54. Let t = j - -8. Let f = -862 - -874. Calculate the remainder when t is divided by f.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -z**2 + z - 8. Suppose -3*h + 12 + 0 = 0. Suppose -s + 16 = 4*c + h, 4*s + 12 = -c. Suppose a = -c*a. Calculate v(a).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -21140 - 64?\nAnswer: -21214","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4 - 405*q**2 - 2823*q + 1 + 1011*q**2 + 2823*q + (-2*q - q + 2*q)*(-2 + q + 2).\nAnswer: 605*q**2 - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 53502, 37927, 22352, 6777, -8798?\nAnswer: -24373","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 2 + 4)*(2431 - 234*z - 2431)*(-z + z**3 + z + (0*z**3 - 2*z**3 + 4*z**3)*(2 + 0 - 4) + 5 - 5 - 2*z**3 - 3*z**3 + 2*z**3 + 3*z**3).\nAnswer: 1404*z**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -92*(32\/4 + -2 - 11\/(-121)*-77).\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ubujzzuczczuc. What is prob of sequence jc?\nAnswer: 1\/52","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 183 - 165 = 6*t for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Divide -10 by -2.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 36350583?\nAnswer: 3, 12116861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*a - a + 2*a)*(-238*a**2 + 6 - 10 + 4)*(-4*a - 259 + 259) to s*a**3 + n*a**4 + u*a + q*a**2 + t and give n.\nAnswer: -952","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.12?  (a) -82  (b) 0.02  (c) 3\/4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -362 - 18215?\nAnswer: -18577","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -13 - ((12 - 14 - (-10 - -1)) + -16).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-18)\/144 - 26\/(-80).\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3916 by 4.\nAnswer: -979","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) = -g**3 + 12*g**2 + 7*g + 31. Suppose 0 = 4*v - 18*v + 126. What is the tens digit of w(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 8\/3020563 and 5\/953862.\nAnswer: 18123378","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the second derivative of 0*s**3 + 1\/30*s**6 - 2*s + 13\/21*s**7 - 95\/12*s**4 + 0*s**2 + 94 + 0*s**5. Find the third derivative of l(d) wrt d.\nAnswer: 1560*d**2 + 24*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {d: 3, k: 3}. What is prob of sequence dkdd?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*x**2 - x + 2*x**4 - x**2 - x**2 - 2 + 0 as t*x**2 + r*x**4 + k*x**3 + g*x + s and give g.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1761 and 82.162?\nAnswer: -144687.282","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1667 is divided by 30.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:56 PM and 11:15 PM?\nAnswer: 19","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -5*x - 40. Let o be g(-8). Suppose -21*d + 25*d - 2*y = o, -d = y - 6. Solve d*w - 4*w = 0 for w.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9480*v**3 - 19178*v**3 + 10782*v**3.\nAnswer: 1084*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -c8 - -17?\nAnswer: -b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*r - 7*r**2 + 0*r**2 + 2*r**3 - r**2 = 0.\nAnswer: 0, 1, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p, 1 a, and 2 e when four letters picked without replacement from {a: 8, p: 4, e: 5}?\nAnswer: 16\/119","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 52597565 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*t**3 - 198795*t**2 + 1976071995*t - 1975873205.\nAnswer: 5*(t - 19879)**2*(t - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 2 = 8. Let t = 3 + -4. Let k = f - t. Solve 10 = k*g - 2*g for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*x - 11280 + 11280.\nAnswer: -29*x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*f + 5*l + 1180, -5*l = -3*f - 6*l + 720. List the prime factors of f.\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 295 minutes after 3:51 AM?\nAnswer: 8:46 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 778.009907587 - 778.01. What is j rounded to 5 decimal places?\nAnswer: -0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 1069*r**2 + 1169*r**2 - 4068*r**2 - 3982*r**2 to l*r**2 + t*r + y and give l.\nAnswer: -5812","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -639b3 (base 16) to base 10.\nAnswer: -407987","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve u = -2*b - 3*u - 4, 0 = 3*b - 5*u - 5 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 243763992 a multiple of 81?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 15838 - 15824. Which is the closest to -2\/9?  (a) -93  (b) 0.3  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (245\/(-14))\/(-5) + (-2)\/4. Suppose -45 = 2*b - d. What is the closest to -2\/3 in b, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = 3633*o + 105368. Give y(-29).\nAnswer: 11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -7\/160 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 2\/7, -5, -2, -0.11?\nAnswer: -0.11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.9*-86598.\nAnswer: -164536.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(57)\/(sqrt(27)\/sqrt(9)))**2*3.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 2 - 2)*((0 + 5 - 3)*(2 - 2 - 2) + 25 - 16 - 16)*(-41*s + 301 - 301).\nAnswer: -451*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 - -8535?\nAnswer: 8539","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let a(x) = -3*x - 2. Let p be a(-2). Let w = p + 11. List the prime factors of w.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 205212 is divided by 11400.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 21693936 divided by 908?\nAnswer: 23892","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*g**4 + 244*g**3 + 141280?\nAnswer: -8*g**3 + 732*g**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from jyvjmmgjgm. What is prob of sequence vj?\nAnswer: 1\/30","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 8176543 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 94 divide 71352392?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 13396 - 1625. What is the ten thousands digit of o?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) 0  (b) -1\/3  (c) 2  (d) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 349?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 45245095 is divided by 493.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 8 + -1*(-2 - -3). Let q(t) = t**3 - 6*t**2 - 5*t - 2. Calculate the smallest common multiple of q(o) and 38\/2 + 3 + -2 + 2.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9 a factor of 76385?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1747 + 6505. Let r = d + -4757.92028. Let h = 0.08 - r. Round h to four decimal places.\nAnswer: 0.0003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0 - 4 - (-135)\/27\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28 = -17*f - 11*f for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -416 = 1186*r + 3142. Suppose -8 + 2 = 3*u. Put u, r, -34 in ascending order.\nAnswer: -34, r, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*v**4 + 194*v**2 - 600*v - 792 = 0. What is v?\nAnswer: -11, -1, 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = s**3 + 7*s**2 + s + 3. Let k be r(-7). Sort k, 2, -3, 3.\nAnswer: k, -3, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -7 + -1e5?\nAnswer: -1ec","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 24329 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 24300 a multiple of 27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.081 + -0.011. Let k = -0.008 + q. Which is the nearest to k?  (a) 4  (b) 23  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/7?  (a) -7  (b) 0  (c) 2\/15  (d) 5.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1\/11, 3, -2, -1, 1\/30, 0.1?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(v) = v**3 - 17*v**2 + 14*v + 38. Let g be t(16). Let x be (-28)\/g*(-36720)\/(-420). Do -407 and x have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -5721 - 0?\nAnswer: -5721","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 6  (b) -0.3  (c) 2\/13  (d) -0.5  (e) 4.9  (f) 8\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 3022738241 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - t + 106 = 5*u, -t - 1 = 0. Let c = 165 - 168. Let a = u - c. Is 22 a factor of a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2140 and 19809.8.\nAnswer: 42392972","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -28\/93 and -35\/5126?\nAnswer: 476718","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -2945 + 2920 - 1\/(2\/4)?\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the second derivative of 2 + 24*u + 3\/2*u**3 + 0*u**4 - 13\/30*u**6 - 2*u**2 + 0*u**5. Find the second derivative of b(p) wrt p.\nAnswer: -156*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 2*n**2 + 4*n**2 - n**3 + 0 + 5*n - 3*n**3 - 6. Let a(p) = -3*p**3 + 5*p**2 + 4*p - 5. What is -5*a(h) + 4*u(h)?\nAnswer: -h**3 - h**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 8086811?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1689*q**3*z**2 + 2*q**3*z - 1495*q*z**2 - 2586*q*z - 4*z wrt z.\nAnswer: -3378*q**3 - 2990*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -207, -137, -93, -93, -155, -297, -537?\n\"Answer: -3*h**3 + 5*h**2 + 76*h - 285","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 1.8 and -0.77.\nAnswer: -1.386","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*r - 10 - 14 = 0. Let w = 9 - 4. Suppose -2*g = o - 14 - 14, -5*g + 125 = w*o. Calculate the remainder when o is divided by r.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one ninth of a day in seconds?\nAnswer: 9600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -545*f - 8716. Let y be k(-16). Let d be 3\/((-9)\/2)*-3. Suppose d*b - 14 = -5*r + 9, -2*b + 20 = 4*r. Solve -5*c + 15 = 5*u, -5 = -b*u - c + y for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 133335?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1951331, -1951302, -1951275, -1951250, -1951227, -1951206, -1951187?\n\"Answer: -z**2 + 32*z - 1951362","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 4*m. Let o(u) = -3349849*u**2. Give o(w(n)).\nAnswer: -53597584*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Convert 10323304332 (base 5) to base 16.\nAnswer: aa2500","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 50 and 7114?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 2100089913 to the nearest integer?\nAnswer: 1281","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 2 x when three letters picked without replacement from oxbrxeb.\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -318*t + 326*t - 80 for t.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -889 - -886. What is the third smallest value in -2, j, 24, 2\/3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 503003737?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Divide -320 by -16.\nAnswer: 20","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((0 + 0 + r)*(4 + 0 - 3) + 0*r - r - r - 5 + 5 - r + (-5 + 0 + 3)*(4*r + r - 4*r))*(2*r**2 - 2*r**2 + r**2).\nAnswer: -4*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is g in g**2 - 248*g = 0?\nAnswer: 0, 248","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 6*h**3 + 15*h**2 - 42*h + 15. Let c(z) = -5*z**3 - 14*z**2 + 38*z - 12. Let y(p) = -7*c(p) - 6*w(p). What is y(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m + 6 + 9 = 0. Let z = -38 + 32. Let v = m + z. List the prime factors of v.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9731623121 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 767640.\nAnswer: 2, 3, 5, 6397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 123174 + 123177 - 246351 - 54*l.\nAnswer: -54*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -16, -2, 15, -9\/2?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 582 and 485.\nAnswer: 2910","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 88.74 to the nearest ten.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 29\/214130 and -4\/3381.\nAnswer: 642390","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7654 is divided by 51?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.005781874387 rounded to 4 decimal places?\nAnswer: -0.0058","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = 426*y + 2541. Give n(-6).\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 240, 242, 254, 282, 332?\n\"Answer: l**3 - l**2 - 2*l + 242","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/7 in -2\/169, 1\/5, -0.2?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, -2\/11, 623, -1\/4 in descending order.\nAnswer: 623, 3, -2\/11, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1542 = -14*q - 492. Is 6 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3+-631.9558059572\nAnswer: -628.9558059572","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n(h) = 47*h + 226. Is n(16) a multiple of 2?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((2 + -4)*2)\/(3\/(-351)). Suppose 2*z - 28*z = -b. Calculate the least common multiple of z and 38.\nAnswer: 342","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -1. Let x(w) = 34*w - 17. Let t(h) = -17*f(h) + x(h). Let v = 6 + -5. Is 17 a factor of t(v)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 24 = -27. Let w(h) = -h**3 + 2*h**2 + 3*h + 2. Give w(t).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.7083877um in nanometers?\nAnswer: 708.3877","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1\/9 + -13\/45. Let q = 15.19 + -11.19. Which is the closest to 2?  (a) q  (b) p  (c) -0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 216 a factor of (-33)\/(-55)*(0 + (-30040)\/(-12))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*q + 4*q - 2*q + (2 + 2 - 5)*(-1 + 9*q - 2 - 3*q).\nAnswer: -7*q + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -p + 1 = -3*u + 50, 2*u + 555 = -12*p - 5*p + 4*p for p.\nAnswer: -43","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 977692055 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 - 413)*(0 + (-3)\/6). Suppose y - 27 = 5*z. Is 9 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = 8*m + 2. Suppose -265*w = -264*w + 2. Calculate l(w).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2\/1*23\/(-46).\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1285 (base 15) to base 13.\nAnswer: -1a4b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y + 639 = 179. Suppose y = 10*a - 5*a. Let j(q) = 46 - a + 2*q**2. Let z(o) = o**2. Determine z(j(w)).\nAnswer: 4*w**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = 7*o - 4. Let b(p) = -20*p + 12. Let f(l) = -577*l + 571. Let z be f(1). Give z*b(v) - 17*c(v).\nAnswer: v - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1)\/(2\/(-4)) + 13. Let i = h + -13. Let u be i\/(-4)*(-14 - -8). Solve 3*c + u = 6*c for c.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -29*b**2 + 29*b**2 - b**3.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*f**2*h*k**3 + 1888*f**2*h + 2*f*h*k**2 + 2*f*h + 52*f*k**3 + 19*h*k**3 wrt k.\nAnswer: 18*f**2*h + 312*f + 114*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 454882 is divided by 149?\nAnswer: 134","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 201 (base 5) to base 9\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3851674.\nAnswer: 2, 1925837","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 169 is divided by 22?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-20)\/(-6)*2\/88*22.\nAnswer: 5\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 52264865 to the nearest integer?\nAnswer: 374","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = -d + 6. Let l(k) = 2*k - 17. Let p be l(10). What is the units digit of u(p)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*(b\/((b*b**(-22)*b)\/b))\/b*b)\/(b\/(b\/(b\/b**(12\/13)*b))))\/((b**14\/b*b*b)\/(b\/(b*b\/(b\/b**(2\/13)))*b)) assuming b is positive.\nAnswer: b**(101\/13)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r*r*r*r\/((r*r\/(r**(1\/4)*r))\/r)*r*r)\/r**(1\/5)*(r\/(r\/r**(-2\/3)))\/r*(r*(r*r*r**(1\/4)*r)\/r)\/r assuming r is positive.\nAnswer: r**(199\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 54275935 greater than 54275934?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -17 in 1, -1, 4, -186, 0, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.1736 + 782.8264. Let c = -783.000000702 + z. Round c to seven dps.\nAnswer: -0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be -1 - -2 - 2 - -1. Let q be f + 4 + 6\/(-6). What are the prime factors of q + ((-6)\/4)\/(6\/(-424))?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = -3 - 2. Let d = v - 1. Suppose -136 = -d*o - 0. What is the remainder when o is divided by 18?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 146 - 146 - 22*d**3.\nAnswer: -22*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is (23 - (7 + 6)) + 5 + (4 - 49)?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (6\/10)\/(-1) - (-26586)\/35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 108\/(-84) + (-3)\/(-3). Which is the closest to 5?  (a) j  (b) 9  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 22*b - 2 = 20*b for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wwp when three letters picked without replacement from {p: 3, w: 5}?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -66 - -61. Let q(k) = -k**3 - 6*k**2 - 5*k + 8. Let u be q(v). Let x(m) = -m**2 + 8*m - 3. Let b be x(u). Sort b, 3, -4 in decreasing order.\nAnswer: 3, b, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 11612\/2475 + -215\/99. Suppose 2*t + 12 = -t, -2*l - t + 34 = 0. Find the common denominator of z and l.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1966 divided by -5.\nAnswer: 1966\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -5*w**2 + 10*w**2 - 16*w**2 - 9*w**2 to the form q*w + f + l*w**2 and give l.\nAnswer: -20","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 938332?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -926\/33 + 28. Suppose -2*l + 1 = 3. Is l not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 1101 - 1053. Let q(b) = -48*b - 49. Let v be q(-2). Is r >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven halves of a day in minutes?\nAnswer: 7920","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 121619*l**3 + 92639*l**2?\nAnswer: 729714","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 12\/(12\/(-3)) + 45\/3. Let x be ((-15)\/h)\/(3\/(-12) + 0). Suppose -3 = -8*p + x*p. Is 1 greater than or equal to p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 172 + -176. Let n(w) = -3*w - 8. Let o(c) = -c**3 - 2*c**2 + 3*c + 3. Let i be o(-2). Let t(y) = -y - 3. Let h(m) = i*n(m) + 8*t(m). What is h(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -5*c**4 - 45*c**3 + 415*c**2 + 945*c + 490.\nAnswer: -5*(c - 7)*(c + 1)**2*(c + 14)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in 4.339, -0.15085, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) be the first derivative of u**2\/2 - 3. Let s(b) = -4*b - 17. Let o(v) = -5*l(v) - s(v). Is o(-13) a multiple of 30?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 2 - 2.1. Suppose -6*m + 3 + 3 = 0. Let k be (-4)\/40*(-4 + m). Put k, 5, w in ascending order.\nAnswer: w, k, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 73\/3 of a day in hours?\nAnswer: 584","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -18461, -36968, -55517, -74114, -92765, -111476?\n\"Answer: -m**3 - 15*m**2 - 18455*m + 10","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -s**2. Suppose -21*l + 517 = 454. Let d(q) be the third derivative of 30*q**2 - 1\/24*q**4 + 0 + 0*q**l + 0*q + 17\/60*q**5. What is b(d(g))?\nAnswer: -289*g**4 + 34*g**3 - g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (96\/(-640)*-20)\/(1*9\/(-48))?\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 5 - 4)*(5*f - f - f) + 10*f - 17 + 17.\nAnswer: 16*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = p + 2*f + 77, 3*p - p - 3*f = -175. Let n = -127648 + 127647. Which is bigger: n or p?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 divided by -7186347?\nAnswer: -1\/2395449","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine f so that -2*f**3 - 130*f**2 + 1826*f - 1694 = 0.\nAnswer: -77, 1, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-39)\/(5577\/26) - -3*134\/33.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -7 - -392624?\nAnswer: 392618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4919?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 332 minutes before 3:52 AM?\nAnswer: 10:20 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*j**4\/4 - 33*j**3\/4 + 183*j**2\/4 + 33*j\/4 - 45 = 0.\nAnswer: -15, -1, 1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2*((-55)\/(-2))\/11?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -y**4 - 2509*y**3 - 6*y**2 - 84404 with respect to y.\nAnswer: -4*y**3 - 7527*y**2 - 12*y","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 83 is divided by -26*((-14)\/20 + (-14)\/(-70))?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-6)\/(-9) - 1190\/(-24). Let m = s - 50. Are m and -2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -104*p**3*r**4 + 11*p**3*r**2 - 6*p**3 + 79*r wrt r?\nAnswer: -1248*p**3*r**2 + 22*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 5 + 2)*(2117 + 57*b - 2117) - b - 2*b + 4*b + b + 2 - 2 + 0*b - b + 2*b + b - 4*b + 2*b + (2 + 4 - 7)*(5*b - 2*b - 5*b).\nAnswer: 118*b","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -13 - -23. Let g = o + -3. Suppose -5 = -2*y + g. Is 6 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = i + 4*i + 15. Let h(o) be the first derivative of -o**4\/4 - 4*o**3\/3 + o**2\/2 + 2*o + 2. Determine h(i).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 38 minutes after 4:09 PM?\nAnswer: 4:47 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is -469828 divided by 2?\nAnswer: -234914","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -301 - -292.8. Sort -3, x, 4 in ascending order.\nAnswer: x, -3, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) be the second derivative of a**3\/6 + a**2 + 3*a. Let k be m(-2). Suppose -4*x + 3*q = -k*x + 2437, 2*x + 1217 = 3*q. Round x to the nearest 100.\nAnswer: -600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -431 (base 16) to base 8\nAnswer: -2061","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 0 + 1)*(36*m + 7*m + 2*m).\nAnswer: -45*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*g**5 + 4290*g**4 + 17184*g**3 + 17192*g**2.\nAnswer: -2*g**2*(g - 2149)*(g + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 406 minutes after 4:26 PM?\nAnswer: 11:12 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = s**3 - 10*s**2 + 9*s. Let n be b(9). Suppose 4*z + l + 4*l - 25 = n, 28 = 4*z + 4*l. What is the remainder when 36 is divided by z?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g + 4*m = -2*g + 68, 0 = 5*g + 2*m - 74. Calculate the common denominator of (g\/176)\/(2\/14) and (-2)\/(20\/86) - 1.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1201020100112 (base 3) to base 4.\nAnswer: -3132023201","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 12011 is divided by 349.\nAnswer: 145","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -596, 5, 12444 in descending order.\nAnswer: 12444, 5, 3, -596","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5*462\/735*7.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) be the first derivative of -3*t**2\/2 + 2*t + 20. Let k(z) = 13*z - 8. Let g(q) = 9*d(q) + 2*k(q). What is g(-4)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x + 48*x = -41*x - 9*x + 1235 for x.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 1219248 to the power of 1\/8, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 5535163?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -24015234, -48030469, -72045704, -96060939?\nAnswer: -120076174","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose t - f + 11 = 2*t, -t + f + 9 = 0. Calculate the greatest common divisor of t and 30.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 81\/14162 bigger than -1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -0.7724 + -296906.987\nAnswer: -296907.7594","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7*k**4 + 3*k**2 - 2*k**3 - 2*k**2 - 3*k**2 + 2*k - 9*k**4 + k**2 to the form c*k**4 + t + p*k**2 + s*k + l*k**3 and give c.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -5*10\/675*3\/(-1)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -240599617421 + -0.1?\nAnswer: -240599617421.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1817, 3605, 5359, 7079, 8765, 10417, 12035?\nAnswer: 13619","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is (-5 - -6 - -1) + -2?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - 7 - 3 - 1.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 940299.8 weeks?\nAnswer: 568693319040000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = 34*b**2 - 3*b - 3. Let o(v) = 2*v**2 + 2*v - 3. Let g(u) = 1550*u**2 - 116*u - 166. Let l(h) = g(h) - 10*o(h). What is -3*l(f) + 136*y(f)?\nAnswer: 34*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -65 - -75. Which is smaller: 42 or k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Total of -852.044532546 and 13.5.\nAnswer: -838.544532546","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2293253?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 20764, 21969, 23174?\nAnswer: 24379","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) be the third derivative of d**5\/15 + 4*d**4\/3 + 14*d**3\/3 - 2365*d**2. Factor b(s).\nAnswer: 4*(s + 1)*(s + 7)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 13\/2 - 53\/10. Let j = 10 - 9.6. What is the biggest value in j, h, -3?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -326?  (a) 1\/7  (b) 5  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -711*z = -1086*z + 10500 for z.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -7+-28188.351\nAnswer: -28195.351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 62 - 184\/3. Let p = -61 - -61.052. Let m = p - -0.348. Is d equal to m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -716*h + 48*h + 248*h.\nAnswer: -420*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -1435 - 103?\nAnswer: -1538","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 370212 and 108.\nAnswer: 3331908","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 70939 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p**2 + 19103296*p + 45616989757952 = 0. What is p?\nAnswer: -4775824","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is (50\/(1 + 4))\/((-2)\/(-6)) a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 192.2 - 192. What is the biggest value in r, -0.1, 17, 3?\nAnswer: 17","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11 + 5 - 113*k + 100*k + 260*k - 15 + 37*k.\nAnswer: 284*k + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 5*v + 17. Let c(y) = y**3 - y**2. Let k be c(-2). What is the smallest common multiple of 5 and (v\/2)\/(3\/k)?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is five quarters of a kilogram in grams?\nAnswer: 1250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 2*a - 10 = 0, d - 3*d + 5*a = -11. Let -7*w**d - 4 + 11*w**3 + 12*w - 5*w**2 - 7*w**2 = 0. Calculate w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 318349219 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert 7.45815 millennia to centuries.\nAnswer: 74.5815","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Determine l so that -3*l**3 + 144*l**2 = 0.\nAnswer: 0, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 17751 to the nearest integer?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -215005434221 - -9988722462288151\/46458. Let v = -2\/23229 + u. Find the common denominator of -67\/14 and v.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-21*o**3 + 10*o**3 + 154*o**3)*(-6*o**2 + o**2 - 2*o + o).\nAnswer: -715*o**5 - 143*o**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-6*z**2 + 0*z**2 + 0*z**2)*((-4 + 5 + 1)*(-2*z - 5*z + 5*z) - 5*z - z + 4*z).\nAnswer: 36*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -31\/104 and -93\/3016.\nAnswer: 3016","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose k - 4*c = 620, 2*k = -c - 3*c + 1180. Suppose -5*q = 5*q - k. What are the prime factors of q?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(y) = 821386*y - 104. Let v be t(-36). What is v rounded to the nearest one million?\nAnswer: -30000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -6 + 3. Suppose -3*x + 2*a = -31 - 1, 4*x - 36 = a. Let i = x + z. Solve -3*n = 3*b + 27, 3*b + 5*n + 42 - i = 0 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 318319 = -68*b + 317367 for b.\nAnswer: -14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -88.8 + 83450255029.\nAnswer: 83450254940.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2, -48, -168, -398, -774?\nAnswer: -1332","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand (241 - 241 - 26*x)*(-176 - 6 - 104 - 103).\nAnswer: 10114*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 1529*b + 15489 + 15091 for b.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Express -55*j - 59*j + 2*j**2 + 119*j as d*j**2 + c*j + o and give c.\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-135)\/(-6))\/(-5)*-2. Suppose -5*n = -5, -3*d + 3 - 1 = -4*n. Suppose -4 - d = -2*j. Calculate the highest common divisor of j and r.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8234 - -8242. What is the highest common divisor of 8088 and q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ccttct. What is prob of sequence ttcc?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*d - 2 = -4*v, 3 = 4*d - 5*v + 1 for d.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -42*v**3 - 48*v**3 + 89*v**3.\nAnswer: -v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8564 divided by -3.\nAnswer: -8564\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-1467)\/(-99) + (-2)\/(-11). Solve -4*z + 6*o + b = 3*o, 0 = 4*z + 3*o - 9 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -161\/31 - -328\/93. Which is the closest to t?  (a) -5  (b) 0  (c) 5  (d) -0.1\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 260028 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 289653 to the power of 1\/7, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(10)\/(sqrt(80)*3).\nAnswer: sqrt(2)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 u and 1 n when two letters picked without replacement from cuknuuuucuunnuuutunn?\nAnswer: 11\/38","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 5\/(-1) - (-615)\/(-18). Let y = 121\/3 + h. Calculate the common denominator of 49\/6 and y.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -2*p + 8 - 4, 8 = -4*p + 2*w. Let a = p - -3. Suppose 3*u - 51 = -4*y, -u - a + 8 = 0. What is the units digit of y?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -16 - -40. Suppose -5*s + 1 = -m. Suppose -4*z = -s*f + 18, 2*z + 3*z + 15 = 5*f. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -2327509, -4655017, -6982525?\n\"Answer: -2327508*y - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 4.91 times -1?\nAnswer: -4.91","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -30744 (base 13) to base 4\nAnswer: -111032022","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 142668.9927599 + -142669. Round g to 3 dps.\nAnswer: -0.007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -53*i**2 - 1. Let s(d) = -62*d. What is l(s(k))?\nAnswer: -203732*k**2 - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 2 - 1. Let s = -13 - -22. What is the greatest common factor of s and u?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 361361 and 99.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = s - 44. Let u be t(11). Round u to the nearest one hundred.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 89489 (base 10) in base 16?\nAnswer: 15d91","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*c = -18*c - 903. Let s = c - -135. Let b = s + 312. List the prime factors of b.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (0 + 1)\/((20\/3)\/4).\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = 1361*y**2 - 10895*y + 66. What is u(8)?\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -2*f + 18. Let q be p(-6). Suppose 5*c = 4*z - 6, 5*c + 5*z = 3*z + 18. Is 15 a factor of (3\/c)\/(1\/q)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = -f**2 - 7*f - 4. Let l(n) = -n**2 - 6*n - 3. Calculate 6*k(d) - 7*l(d).\nAnswer: d**2 - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 46635 divided by 3011?\nAnswer: 46635\/3011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = 37*q**3 - 11*q**2 + 9*q - 201. Let t(g) = -19*g**3 + 5*g**2 - 4*g + 101. Let k(i) = 4*j(i) + 9*t(i). Find the first derivative of k(y) wrt y.\nAnswer: -69*y**2 + 2*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 2*u - 369 = -3*u, 0 = 5*d - 5*u - 480. Suppose d*r = 88*r + 625. What are the prime factors of r?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 11 = k, -2*j + 23 = k + 3*j. Suppose -k*p = -3*p - 125. Is (-10)\/4*(-330)\/p a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**10)**(-3\/7))**36 assuming d is positive.\nAnswer: d**(-1080\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/5607 and 406\/294 - (48\/18 + -3).\nAnswer: 5607","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 890*m - 2688 = 778*m for m.\nAnswer: 24","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 1011001011111111110 (base 2) to base 15\nAnswer: 73945","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1836 + 4934 + 3*j**3 - 3053.\nAnswer: 3*j**3 + 45","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 275350324 rounded to the nearest 1000000?\nAnswer: 275000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (-4)\/185*(16050\/(-60))\/(-107)\nAnswer: -2\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*i = 4*x - 16, -59*i - x = -61*i - 4. Let o(j) be the second derivative of 0*j**2 - 4\/3*j**3 + i - 47*j. What is o(1)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*u - 5*u = -3*w + 2, 0 = -4*w - 4. Does 3 divide u\/(-2)*(-75 - 7)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1576 to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -484 divided by 1792\nAnswer: -121\/448","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -5*n**2*z**2 - 9*n**2*z + 19*n*z**2 - 27 wrt z.\nAnswer: -10*n**2 + 38*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 296322 = s, 29*s + 9 = 26*s. Calculate the common denominator of (h\/2106)\/(-25) + (-2 - 0) and 109\/18.\nAnswer: 234","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 3*w**2 + 6*w**3 - w**3 - w**2 - 3 + 2. Calculate l(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3208848*c**2 - 363381*c**2 + 570576*c**2.\nAnswer: -3001653*c**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 13.601 - -0.299. Let t = -13.913 + z. Round t to 2 decimal places.\nAnswer: -0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 166*s - 9. Let z(g) = 92*g - 5. Let m(r) = -5*c(r) + 9*z(r). Let d(x) = -4*x**2 + 201. Determine m(d(k)).\nAnswer: 8*k**2 - 402","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = 1998*j - 12045. What is m(6)?\nAnswer: -57","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find a such that -1\/2*a**4 - 3\/2*a**2 - 8*a - 21\/2*a**5 + 37\/2*a**3 + 2 = 0.\nAnswer: -1, 2\/7, 2\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 30*c**4 + 25*c**2 + 5*c - 25. Let v(a) = -a**4 - a**2 + 1. Let f(l) = 4*d(l) + 100*v(l). Find the second derivative of f(j) wrt j.\nAnswer: 240*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -22 + -9. Let g = -18 - t. Let n(d) = 54*d - 6321. What is the remainder when n(118) is divided by g?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-363*16\/(-1320))\/((-33)\/(-90))*12\nAnswer: 144","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 4632 - 2160. List the prime factors of x.\nAnswer: 2, 3, 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the second derivative of -10*x + 0*x**5 + 1\/3*x**6 + 0*x**2 + 0 + 2\/3*x**3 - 3\/2*x**4. Find the third derivative of q(t) wrt t.\nAnswer: 240*t","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {c: 3, z: 3, o: 2, h: 2, q: 3, r: 1}. What is prob of picking 1 r, 1 z, and 1 h?\nAnswer: 3\/182","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2610 and 3060.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -24 = -0*q - 4*q. Suppose 5*z = -3*m - 2, m + q = 4*z - 3*z. What is the remainder when z is divided by 3\/4 + 1\/4?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -10094  (b) -1.5  (c) 3  (d) -3  (e) -0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -1011 + -110111111001101100?\nAnswer: -110111111001110111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -86 - -85. Let r(h) = -4*h**3 + 2*h**2 + 4*h + 2. Let q be r(m). Let u(d) = -d**3 + 2*d**2 + 2*d - 1. Give u(q).\nAnswer: -25","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 154 minutes after 11:34 AM?\nAnswer: 2:08 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 231536 a multiple of 340?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 209012299.\nAnswer: 209012299","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 402635521 and -5?\nAnswer: -2013177605","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*q + 23 = -21. Let y = -5 - q. Calculate the greatest common divisor of 3 and y.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2 - -4. Suppose -4*d + 3*z = 4, r*d = -9*z + 4*z + 24. Does 2 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -956807 + 957148. Suppose -61 = -3*i - 4. Calculate the remainder when m is divided by i.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5833 and 4.\nAnswer: -23332","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2554*h**6 - 1587*h**2 - 2?\nAnswer: 306480*h**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {n: 1, u: 1, y: 2, w: 1, i: 1, l: 2}. Give prob of sequence nuy.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*o - 33 = -4*z, 5*o - 23 = 2*o - 4*z for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9062*r**2 - 27 + 57 - 33 - 2*r.\nAnswer: 9062*r**2 - 2*r - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 38*a*p*u**3 + a*p + 2*a*u**3 - 26*a*u + 2*a - 64*p*u**3 - 9*p*u wrt u?\nAnswer: 228*a*p*u + 12*a*u - 384*p*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*s**3 - s - 5 - 150*s**2 + s + 2.\nAnswer: 6*s**3 - 150*s**2 - 3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 0 + -22. Let s = 22 + u. Suppose -4*g + s*g = -1556. Is g a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 + 1 + 5)*(3 - 3 + 1)*(5 + 1 - 1)*(2*w + 0*w - w)*(-w**2 - 3*w**2 + w**2).\nAnswer: -15*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34 - 2 = 8*f. Let s(n) = 42*n - 7. Let o be s(f). Suppose -4*z + o = -2067. Is z a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the second derivative of h**4\/12 + h**3\/3 - h**2 - 2*h. Determine a(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -195 + 196.13. Let u = 1.87 - 2. Let l = j + u. What is the biggest value in l, 1\/2, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/40 of a meter in millimeters?\nAnswer: 75","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.6?  (a) 0.4  (b) -0.4  (c) 0.2  (d) 16\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -1775, -1732, -1661, -1562, -1435, -1280?\n\"Answer: 14*d**2 + d - 1790","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor b**5\/12 + b**4\/4 + b**3\/6 - b**2\/6 - b\/4 - 1\/12.\nAnswer: (b - 1)*(b + 1)**4\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -7.0886*1\nAnswer: -7.0886","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 2542 to the power of 1\/2, to the nearest integer?\nAnswer: 50","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is -341 >= -2394\/43?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 22450 and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4507194 is divided by 1502381?\nAnswer: 51","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v + 15. Let h be c(-12). Suppose h*b - 5 = -2. Put 2, b, -4 in ascending order.\nAnswer: -4, b, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -8\/15  (b) 0.4  (c) 3  (d) -1\/17  (e) 2\/7  (f) 1.6\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = 8*r**2 + r - 3. Let a = -21 - -24. Let h be t(a). Suppose 2*p - 8 - h = -4*i, -i = -p + 46. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.1?  (a) 4\/5  (b) 2\/9  (c) 4  (d) -3  (e) 5  (f) 1\/18\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 7, 11, 17, 25, 35, 47?\n\"Answer: c**2 + c + 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q**3 + q**2 + 6. Let d(l) = -l - 1. Let z(n) = -2*n - 2. Let m(y) = -3*d(y) + 2*z(y). Let j be m(-1). List the prime factors of a(j).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (6*(-4 + sqrt(1008) + -2*sqrt(1008) - (sqrt(1008) - 5*1*sqrt(1008))) + -2)**2.\nAnswer: -11232*sqrt(7) + 327268","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 2\/13, 2\/7, 9, 6?\nAnswer: 9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -68 = -25*w + 32. Solve -w = -3*a - a for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 12622 divided by -2.\nAnswer: -6311","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -19, -1\/12, -0.4, 3, 13 in ascending order.\nAnswer: -19, -2, -0.4, -1\/12, 3, 13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 10993624 to the power of 1\/4, to the nearest integer?\nAnswer: 58","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) 0.4  (c) -16  (d) 3  (e) 3\/2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -14*v + 9. Calculate l(6).\nAnswer: -75","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, x: 1}. What is prob of picking 1 e and 1 x?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = 4601*w**3 - 301*w**2 + 301*w. Let z = -1085 + 784. Let u(p) = 46*p**3 - 3*p**2 + 3*p. Determine z*u(x) + 3*f(x).\nAnswer: -43*x**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 (base 11) in base 8?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 7 - 3 + 8 + 2*f + 0 to the form t + w*f and give w.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 12:11 AM?\nAnswer: 5:07 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 12\/21*2\/(-2).\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -18830 + 7060?\nAnswer: -11760","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth smallest value?  (a) 14\/13  (b) 21  (c) -0.4  (d) -0.5  (e) 3\/4  (f) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 46*l - 18 = 28 for l.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 0 or 23\/33?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = 41*k + 1412. Let l be m(-34). Let n be (-4)\/10 - (-102)\/5. Let v = n - l. Put 3, -5, v in decreasing order.\nAnswer: 3, v, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -89 - -93. Suppose l = -k*l - 0*l. Solve 3*u = 4*p + 8 + 6, -4*u - 4*p = l for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -10\/3 + 5*y - 5\/3*y**3 + 0*y**2 = 0. Calculate y.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find k such that -3*k**2 + 4433*k - 2954 = 0.\nAnswer: 2\/3, 1477","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -4986421.1 to the nearest one thousand.\nAnswer: -4986000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*k + k. Suppose -2*o + 2*y - 9 - 13 = 0, y = -3*o - 9. Which is the nearest to k?  (a) o  (b) 3  (c) -1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:45 PM and 1:07 AM?\nAnswer: 502","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -13*h + 14*h - 129. List the prime factors of h.\nAnswer: 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 7377*d**2 + 4953*d**2 - 12209*d**2 + 5424*d**2.\nAnswer: 5545*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 88933 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let n(p) = -44*p + 2555. Let y be n(58). Let z(a) be the third derivative of 0 + 36*a**2 - 1\/6*a**y + 0*a + 1\/4*a**4. Determine z(-2).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -5 + (-3 - -7) + 2. Calculate the remainder when 69 is divided by (-1)\/(10\/(-358)) + p\/5.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -16\/33 and ((-50)\/(-12))\/(-5)*328\/1025.\nAnswer: 165","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 9*w**4 - 18360025*w**3 + 640762505*w**2?\nAnswer: 216*w - 110160150","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -231*x + 230*x - 4*s = -41, 3*x - 102 = -5*s. Is 35 at least as big as x?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1033 by 1033.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 0 - 50114?\nAnswer: -50114","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -74 - -84. Suppose 18 + 7 = -5*b, 5*r = 2*b + m. Let -3*z + 2*z - 4*z**2 - 19*z + r*z = 0. What is z?\nAnswer: -5, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes before 11:44 AM?\nAnswer: 2:37 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 125, 116, 73, -22, -187, -440, -799?\n\"Answer: -3*v**3 + v**2 + 9*v + 118","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10593?  (a) -4  (b) -3  (c) 1149\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g - 55 = 3*x, 3*g - g = 5*x + 105. List the prime factors of g.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.433 * -0.23\nAnswer: 0.09959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 239779 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*f - 3*f - 2*f)*(-2218 + 3934 - 2439).\nAnswer: 1446*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 39356562 and 73606?\nAnswer: 5662","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Total of -2.5 and -1.343384903.\nAnswer: -3.843384903","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zj when two letters picked without replacement from {z: 4, j: 3}?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.97 + -0.13. Let n = f + 2.1. Let w(r) = r + 1. Let u be w(-2). Which is the nearest to 0.1?  (a) u  (b) -0.1  (c) n\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*b**5\/5 - 2*b**4 - 26*b**3\/5 - 14*b**2\/5.\nAnswer: 2*b**2*(b - 7)*(b + 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1475 = -12*f + 60*f + 445 for f.\nAnswer: -40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the second derivative of 33*g - 1\/66*g**4 + 0 + 1\/33*g**3 + 0*g**2. Let i(q) = 0. What is q?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 7 and 147427?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round -541326.3 to the nearest one thousand.\nAnswer: -541000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 14*s + 12. Suppose -5*i = -28 - 12. Let m be r(i). Calculate the greatest common divisor of 31 and m.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the first derivative of j**7\/735 - j**6\/210 + j**5\/210 - 3*j**2\/2 - 3. Let d(q) be the second derivative of m(q). Factor d(n).\nAnswer: 2*n**2*(n - 1)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*g = 569*d - 568*d - 21, 9 + 7 = -4*d for g.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: 15 divided by 5\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = -b**2 + b + 2. Let z = 31 + -32. Let w be (-10 - -8) + (5 - z) + -2. Give s(w).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1 + (5 + -12 - -1). Let p(b) = -b**2 + 5*b - 5. Let l be (-32)\/(-18) - (-8)\/36. Let r be p(l). Sort r, t, 2.\nAnswer: t, r, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -202, -141, 0, 15 in descending order.\nAnswer: 15, 0, -141, -202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ayy when three letters picked without replacement from ggyggyaagggaago.\nAnswer: 4\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*j - 32 = 79. Suppose -4*m = j - 1. Let f = m + 10. Solve -v + 0*v = -f for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*q - 7*q + 6. Suppose -8 = -q*f + 2*y, -y = 3*f - 6*y - 16. Suppose 4*j = -n + 5*n - 12, f*n = 5*j. List the prime factors of n.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 0.4, -2\/239, -33 in decreasing order.\nAnswer: 4, 0.4, -2\/239, -33","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 1 = -3\/412651?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -54224 + -0.5\nAnswer: -54224.5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) = -k**2 - 3*k. Suppose y + 4*z - 28 = 0, -5*y + 54 + 11 = 5*z. Let p = 5 - y. Let g be a(p). Solve -h + 0*h = g for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 41 minutes before 11:56 AM?\nAnswer: 11:15 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -q + 0*c - c - 32 = 0, 5*q + 2*c + 157 = 0. Let d = -0.0834 - 401.9166. Let u = -401 - d. Which is greater: u or q?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -1 or 2\/937?\nAnswer: 2\/937","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many microseconds are there in 13.16436 weeks?\nAnswer: 7961804928000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 7430981 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 77 divided by -11\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(r) = -r**3 - r**2 + 5*r + 2. Let t be p(-3). Suppose t*v - 48 = 3*n, 0*v + v - 32 = -5*n. What is the units digit of v?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -5713 - -5721.522. Let f = r - 8.4. Round f to 2 decimal places.\nAnswer: 0.12","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5478589.1 rounded to the nearest ten thousand?\nAnswer: 5480000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -2*b**4 + 2*b**3 + 7960*b**2 - 3*b - 1246815.\nAnswer: -8*b**3 + 6*b**2 + 15920*b - 3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -41*q + 3045 = 1651 for q.\nAnswer: 34","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 56699993\/22 + -2575925. Let a = t - 1349. What is the common denominator of 62\/(-28) + (-24)\/56 and a?\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*m - 373 = -65. Is m a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 36 and 333?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4787888033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 34 + -33.46. Let b = k - -0.76. Round b to the nearest 10.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 w and 2 r when four letters picked without replacement from wwwrprw.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5618 - 5618 - 1287*l.\nAnswer: -1287*l","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 660 minutes after 8:55 AM?\nAnswer: 7:55 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1146 and 10425162.\nAnswer: 10425162","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + 6 + (-2 - (49 + -9)) + 4 + -5.\nAnswer: -27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/29 <= 1\/3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:31 PM and 3:03 PM?\nAnswer: 92","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1.8 - -1.61. Let u = -1.19 - z. Let d = -204 + 210. What is the smallest value in 0.3, u, d, -1\/6?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from gkkkkgwkzwkggkggkkg. Give prob of sequence zg.\nAnswer: 7\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: (9\/((-189)\/(-35)))\/((-30)\/(-432))\nAnswer: 24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -198054, -396108, -594162, -792216?\n\"Answer: -198054*h","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -41 + 70. What are the prime factors of g?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 d and 1 m when three letters picked without replacement from {p: 1, d: 2, g: 1, c: 8, x: 2, m: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 6 (base 15) to base 2\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -2 divided by -859\nAnswer: 2\/859","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 133 or 132673?\nAnswer: 132673","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(4 + sqrt(1053)*-4 + sqrt(1053) + sqrt(1053) + -2 + -1 + sqrt(1053)))**2.\nAnswer: -162*sqrt(13) + 9486","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 - 240\/45)\/((-2)\/24)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2800 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + 230665?\nAnswer: 230670","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-35)\/(-63)*(-84)\/70?\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 0.3, -0.04, 0, 3.77316, -2?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) be the first derivative of 2*r**3\/9 - 21*r**2\/4 - 8*r\/3 - 120. Factor s(o).\nAnswer: (o - 16)*(4*o + 1)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 734097?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -1555 (base 9) to base 8\nAnswer: -2240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 953726651 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2856?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(108)*-4)\/sqrt(9) + sqrt(12))\/(sqrt(144) - (-6*sqrt(144) + sqrt(144))).\nAnswer: -sqrt(3)\/12","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -28191\/11 + 2565. Let i = -334\/143 + q. Let t = -0.03 - -0.03. What is the second biggest value in i, 0.5, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1036 and 0.11?\nAnswer: -113.96","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -1*(4 - 12)\/4\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -22, -36, -64, -112, -186?\n\"Answer: -r**3 - r**2 - 4*r - 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ffffhfbffhuufbffffy. Give prob of sequence fh.\nAnswer: 4\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 392 + -390. Let o = 577\/5 + -115. What is the closest to -1 in p, o, -5?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2519 = -5*q - 409. Suppose q = 6*d - 274. List the prime factors of d.\nAnswer: 2, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 3*s**3 + 324*s**6 - 5*s**3 - 66*s + 70*s - 75*s**2 + 6*s**2 wrt s.\nAnswer: 38880*s**3 - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 3\/5*u**4 + 9\/5*u**3 + 0 + 0*u + 0*u**2 = 0. Calculate u.\nAnswer: -3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.21 - -4.21. Let o be (-2)\/6 - ((-1060)\/(-138))\/(-10). Let f = -3\/46 - o. What is the fourth smallest value in f, -0.1, d, 2\/17?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many tonnes are there in 0.7586799ug?\nAnswer: 0.0000000000007586799","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -cd - -153db2?\nAnswer: 153ce5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is -5717 bigger than -5718?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzrn when four letters picked without replacement from zrnnnnrrrnnsnrnnnzrr?\nAnswer: 7\/5814","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.6 in -18, -5, 2\/125, 2\/81?\nAnswer: 2\/81","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*v + 7*v + 0*v)*(0*v + 0*v - v + (-1 - 2 + 0)*(v - 5*v + 2*v)) + v**2 + v - v.\nAnswer: 51*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 13 - 26*j - 15 + 1568*j**3 - 2388*j**3 + 37 wrt j?\nAnswer: -4920*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 74944 < 74942?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-7)\/9*(-228)\/(-399).\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -10, 1, 171, -4, 8.\nAnswer: -10, -4, 1, 5, 8, 171","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -594*p - 24. Let l(h) = -295*h - 13. Calculate 11*l(w) - 6*m(w).\nAnswer: 319*w + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 137\/86 - 4\/43. Let l(t) = -22*t - 113. Let w be l(-5). Which is the third smallest value?  (a) n  (b) w  (c) -1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = -1326*c - 714. Let l(k) = -k - 6. Calculate 2*f(s) - 238*l(s).\nAnswer: -2414*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -488.62 - -491.62. Let l = -5\/3 + 13\/6. Let g = l - 0. Which is the closest to g?  (a) 1\/5  (b) m  (c) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 12331322 (base 4) to base 12.\nAnswer: 14622","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.06285 times -0.277?\nAnswer: -0.01740945","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -30 (base 8) to base 16\nAnswer: -18","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1195944772.\nAnswer: 2, 11, 61, 445583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((3 - 2 + 1)*(-3 - 2*d + 3) + (-2 - d + 2)*(0 + 2 - 5))*(d**4 + 0*d**4 - 2*d**4).\nAnswer: d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-x**2 + x**2 - x**2)*(-2*x + 2*x - 2*x**3) - 2*x + 2*x - 15*x**5 - 3614*x**4 + 3614*x**4 - 63*x**5.\nAnswer: -76*x**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.04?  (a) 0.097  (b) -2  (c) -1\/2  (d) 5  (e) -2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: 14048 divided by 4\nAnswer: 3512","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*m + 14202 = 14362 for m.\nAnswer: -20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -161\/25, 2\/13, -2, 1300?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -788628012813099 - -788627901084114.3000067. Let c = -111728980 - g. Let d = 4.7 - c. Round d to 6 dps.\nAnswer: 0.000007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -770 = -3*o - 0*o + 5*a, -5*a + 1310 = 5*o. What is the lowest common multiple of 40 and o?\nAnswer: 520","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 51*v - 51*v + 6*v**2 + (12 + 4*v - 12)*(-3*v - 4*v + 5*v) to h*v**2 + r*v + j and give h.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2452, -9818, -22086, -39250, -61304, -88242, -120058, -156746?\nAnswer: -198300","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-972)\/24 - (54\/(-36) + -1).\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = 2*r**3 - 2*r**2 - 6*r + 3. Determine m(5).\nAnswer: 173","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence wk when two letters picked without replacement from {w: 1, i: 2, k: 1, j: 1, n: 1, v: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2 + 2 + w)*(42 - 31*w - 42)*(w**2 + 2*w - 2*w) to u + r*w**2 + x*w**3 + v*w + l*w**4 and give l.\nAnswer: -31","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -160, -172, -198, -244, -316?\n\"Answer: -i**3 - i**2 - 2*i - 156","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -p**3 + 54 + 3 - 21*p + 26*p - 6*p wrt p?\nAnswer: -3*p**2 - 1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 142*z - 1427 = -119*z - 4037 for z.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(u) = 21*u - 95. Let q(j) = 4*j - 19. Let i(f) = -2*k(f) + 11*q(f). Let z be i(11). Solve 0*b + 3*b = z for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 79 + -67. Let d(a) = a**3 - 12*a**2 + a - 10. Let o be d(w). Solve -4*q + 0*g + 16 = 4*g, o*g = -5*q + 8 for q.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -263 or -265?\nAnswer: -265","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 607417 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 4 + -3 - 1*(-2)\/(-1). Let q be (-1 - 0)*1*-3. Calculate the smallest common multiple of q\/((-3)\/5*f) and 10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -27.13 + -0.2?\nAnswer: -27.33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -3\/1076 or 1?\nAnswer: -3\/1076","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**2 - 15*a + 11. Let c be i(8). Let n = -10 - c. Suppose 0 = 5*f - n - 10. What are the prime factors of f?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2942.43587 to the nearest one thousand.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of 0*a**3 - 1\/2*a**6 + 0*a**5 + 1 - 2*a**2 + 0*a**4 + 0*a. Find the second derivative of f(z) wrt z.\nAnswer: -60*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25\/((-275)\/(-3))*5\/(-10)?\nAnswer: -3\/22","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -452*k - 3813 = -13305 for k.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2856*i - 111412 = 3767*i - 45965 + 365048 for i.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round 1.5289344 to three dps.\nAnswer: 1.529","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1380735 by 12.\nAnswer: -460245\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 823 is divided by 55?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-12))**(-2\/15)\/(f\/f**(-4\/3)*f**14) assuming f is positive.\nAnswer: f**(-221\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**3 - 3*z**2 - 3*z - 5. What is y(4)?\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*n + 49*n + 30090 = 36*n. What is the greatest common divisor of 590 and n?\nAnswer: 118","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qjqpsppssssjs. What is prob of sequence sq?\nAnswer: 1\/13","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t + 2*t + 12. Suppose -t*q + q - 10 = 0. Let r = 16 - 15. Sort q, r, 5 in ascending order.\nAnswer: q, r, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -190, -189, -178, -151, -102, -25, 86, 237?\nAnswer: 434","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -150 + 111 = -5*d - 4*u, 4*u + 10 = 2*d for d.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10 and 11040?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 87*q + 10 = 77*q. Are 0 and q equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -66 in 0.3, 9, -2\/9, 0.8?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -f - 1, b - 2*f + 5*f + 5 = 0. Let m be ((-18)\/(-4)*b)\/(-1). Calculate the highest common divisor of m and 27.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) be the first derivative of 2*z**3\/3 + 61*z**2 + 123. Let k(c) = 4*c**2 - 23842 + 23842 - 5*c**2. Give q(k(u)).\nAnswer: 2*u**4 - 122*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 11 - -3. Suppose y - 3 = 2*q - 7*q, -5*q - 15 = -5*y. Is 7 a factor of (1*y)\/(3\/a)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -131610699 less than 25986?\nAnswer: 131636685","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*h**3 + 7*h - 51*h**3 + 22*h**3 - 7*h.\nAnswer: -h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000386318571 rounded to seven decimal places?\nAnswer: 0.0003863","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 885?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -42.32 rounded to the nearest ten?\nAnswer: -40","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*r + 19*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: (-649)\/(-236)*-1*(-8)\/(-2)\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 67 minutes after 1:03 AM?\nAnswer: 2:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7740?\nAnswer: 2, 3, 5, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1479 and 602475?\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let c(d) = d - 3. Let a be c(8). Suppose 0*r - 47 = -2*g + a*r, -3*g + 4*r + 60 = 0. What is the tens digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h - 3 = 3*x, 0 = -19*x - 3*h - 2746 + 2727 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 675547 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) be the first derivative of -j**4\/2 - j**3\/3 + j**2\/2 - j - 74. Calculate m(2).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/2, 6, 1\/32, 0, -0.3 in decreasing order.\nAnswer: 6, 1\/32, 0, -0.3, -1\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (2658892\/(-230))\/((-6)\/15) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 0.6, -0.5, 2, 5, 65889?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 310467727 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 42655 is divided by 42.\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -13*v**2 + 8*v - 22 - v**2 - 3*v**2 - 7*v**2 + 34*v**2 to x + z*v**2 + d*v and give d.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b + 3 = -5*u + 100, -3*u + 3*b = -42. Suppose -5*p + 321 = 4*o, -7*p + 5*p + 125 = 5*o. What is the remainder when p is divided by u?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 27 + -25. Suppose -5*q - 54 = -8*q - 4*p, -4*q - c*p + 82 = 0. Calculate the greatest common factor of q and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 + 1 + 1 + 7 + -9\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*-4*(sqrt(832) + 0 + 5)*-3*-2.\nAnswer: -576*sqrt(13) - 360","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h + 0 = -2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(l) = 3*l. Let g(z) = 14059305*z. Give g(w(s)).\nAnswer: 42177915*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 133 + -142. Calculate the common denominator of 89\/12 and 27\/j + (-602)\/(-212).\nAnswer: 636","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {f: 1, h: 10, t: 7, o: 1}. Give prob of sequence hhf.\nAnswer: 5\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 22178506 to the nearest integer?\nAnswer: 4709","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - 7 - 1. Let m(r) = 6*r**3 - r**2 + 2*r - 1. Let s be m(x). Suppose -8 - s = -5*a. List the prime factors of a.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 835937131 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -9, 80, -3, 1 in decreasing order.\nAnswer: 80, 1, -3, -9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 161219, 161218, 161217, 161216?\n\"Answer: -q + 161220","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = -2 - 4. Suppose 4*g - 38 = -2*d, 7*d - 11 = b*d + 5*g. What is the smallest common multiple of 10 and d?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 6*a**2 - 576*a + 552. Let j(o) = -14*o**2 + 1153*o - 1094. Let m(i) = -5*g(i) - 2*j(i). Factor m(x).\nAnswer: -2*(x - 286)*(x - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*i**2 + 396 + 469 - 954 - 5*i**2.\nAnswer: -2*i**2 - 89","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-16)\/(-15)*1000\/(-6). Let j = p - -178. Let q(i) = i + 8. Let h be q(-8). Which is the closest to h?  (a) -1\/2  (b) j  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 125*d = 59*d + 52*d + 182 for d.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -97 in 228, 112, -0.5, 3?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 4, -3, 2\/11, -0.2, 1, -393, -4\/7?\nAnswer: -4\/7","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-45)\/6*1*-2. Let l = -24 - -45. Let n be 7\/l + (-17)\/(-3). Calculate the greatest common divisor of n and d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) = 13*n + 2. Calculate the remainder when a(2) is divided by 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*q - i - 133, 0 = 3*q + 86*i - 87*i + 192. Sort -5, q, 1\/4, 5 in decreasing order.\nAnswer: 5, 1\/4, -5, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -21 - -73. Suppose 0 = -o + 2*u + q, 25 = 5*o + 5*u - 220. What is the units digit of o?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = 782*h**2 - 7*h + 14. Let n(b) = -521*b**2 + 5*b - 10. Give -5*i(a) - 7*n(a).\nAnswer: -263*a**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -3*q. Let p be n(-1). Let o(f) = 14 + 2*f + 7*f - f - p. Is o(7) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 59\/455 and 18\/78 + 1410\/3185?\nAnswer: 3185","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 189 - 188.9. Let g = -264 + 262. Which is the smallest value?  (a) g  (b) -4\/15  (c) 2  (d) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.8615226 micrometers to millimeters.\nAnswer: 0.0008615226","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 71\/784 + -15\/98. Is 0.06 at least as big as d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27 = 5*y - 35764*a + 35768*a, 0 = -3*a + 39 for y.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0995 to two decimal places.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 4*x. Let z(i) = 4 - 1 - 5*i**2 - 5 + 2. Give t(z(j)).\nAnswer: -20*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o + 5*m = 8 + 18, m - 5 = 0. What is the common denominator of o + ((-1078)\/4)\/7 and (-44)\/22 - 110\/(-8)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 45315533449 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1232*m*z**3 - 2*m + 207296*z**6 - 471785667*z**2 wrt z.\nAnswer: -7392*m + 24875520*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 149938 to the power of 1\/5, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -50 in 3205, 2, 3\/98?\nAnswer: 3\/98","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 m when four letters picked without replacement from {m: 9, b: 1, l: 1, r: 1}?\nAnswer: 14\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**11*c\/c**(2\/7)*c)\/(c**18*(c**(-17)*c)\/c) assuming c is positive.\nAnswer: c**(82\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 0*x + 12 = -5*f, -11 = 3*f - 5*x for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 53 + -17. Suppose 3*k = -k - 12. Let a be k\/2*(-12)\/2. Calculate the highest common factor of a and v.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1372955 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1310 is divided by 101?\nAnswer: 98","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -i**3 + 578*i**2 - 83496*i + 31. What is j(294)?\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Put together -4 and 399.\nAnswer: 395","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -6, -86, 141, 1, -4 in decreasing order.\nAnswer: 141, 1, -4, -6, -86","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2165736464?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -60, -534, -1796, -4212, -8148, -13970, -22044, -32736?\nAnswer: -46412","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -20401 (base 13) to base 6.\nAnswer: -1123331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 41938844993 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-915)\/(-1725) - (3 + (-117)\/45).\nAnswer: 3\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = -v**2 - 11*v + 13. Let p be x(-11). Suppose -j + r = -3*r - 28, -r + p = j. Calculate the least common multiple of 20 and j.\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3192 divided by 56.\nAnswer: -57","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand -5*q**2 + 2*q**2 + 2*q**2 + (-2*q + 9*q + q)*(3 + 1 - 6)*(0 + 0 + 2)*(2 + q - 2).\nAnswer: -33*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 444 - 444 - 4*b**2.\nAnswer: -4*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 32673080 is divided by 2067.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89 = 6*m - 113. Suppose -17*b + 226 = 209. Solve -2*d**m - 9\/2*d + 9\/2*d**3 + b + d**2 = 0 for d.\nAnswer: -1, 1\/4, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b = 3*m - 4, 0*b - 4*b - m = -18. Suppose -6*a + b*y = -4*a - 39, -5*y = 15. Suppose 0 = -a*d + 15*d - 816. Does 17 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 80 - 59. Suppose 0 = j - 4*v - z, 0 = j - 3*j + 2*v + 24. Suppose 2368090 + 331910 = j*p. Round p to the nearest 1000000.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -5*h, 2*k + 1 - 15 = 4*h. Let x(q) = 8*q**2 - k*q**3 + 4*q**3 + q + 2 - 4*q**2. What is x(-3)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) = -q + 7. Let h(v) = -6*v + 83. Determine -h(g) + 8*r(g).\nAnswer: -2*g - 27","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = -2095*h**2. Let a(j) = -695 - 703 + j - 705 + 2103. Give k(a(c)).\nAnswer: -2095*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the second derivative of -4 - 1\/3*g**3 + 2\/3*g**4 + 11\/10*g**5 - 14*g + 0*g**2. Find the third derivative of u(f) wrt f.\nAnswer: 132","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is n in -2*n**5 - 19*n**4 + 35*n**3 + 19*n**2 - 33*n = 0?\nAnswer: -11, -1, 0, 1, 3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.2336 + 0.7336. Sort 52, -2\/5, 3\/8, 0, c in decreasing order.\nAnswer: 52, c, 3\/8, 0, -2\/5","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = -34*u - 3. Is a(-10) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 113*i**3 + 3*i**2 - 16*i + 39. Let b(k) = -56*k**3 - 2*k**2 + 8*k - 17. Let p(w) = -5*b(w) - 2*x(w). Is p(5) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence icy when three letters picked without replacement from {m: 3, c: 5, y: 2, i: 3}?\nAnswer: 5\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (p - p + p)*(6068 + 5810 - 16724).\nAnswer: -4846*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 101*i**3*j + 68*i**3 + 2*i**2*j - 16*i**2 - 48*i*j - 3*i + j + 11 wrt j.\nAnswer: 101*i**3 + 2*i**2 - 48*i + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2517757.\nAnswer: 11, 228887","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 15*q**3 + q - 4*q**2 + 4*q**2.\nAnswer: 15*q**3 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 37923?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3288 or 85505\/26?\nAnswer: 3288","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -50 = 6*r - r. Let o be (-52)\/r + 1\/(-5). Solve -o*b + 5 = -20 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 65 + 2b?\nAnswer: 94","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 19 + -14. Suppose -4*x + 409 = -x + i*f, -5*f = 5. Suppose 4*q = x + 1634. Is q prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 31\/408650 and -53\/18575.\nAnswer: 408650","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) -2\/1545  (b) 0.4  (c) 1\/5  (d) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 88, 2\/21 in descending order.\nAnswer: 88, 2\/21, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert d3db19 (base 15) to base 4.\nAnswer: 212122201230","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**1\/(w\/(w**(-4\/7)*w)))\/(w*w\/(w*w\/(w**(7\/2)*w))*w*w*w*w\/(w\/(w\/w**(2\/27)*w))) assuming w is positive.\nAnswer: w**(-3401\/378)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.01 in -1, -4, 0, -0.0765, -2, 4\/3?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*m = -13*m + 8. What is the units digit of 84\/15*5\/m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h**2 - 8*h + 2. Suppose 0*p = -t - p + 11, 5*p - 25 = 0. Let n be q(t). Is n equal to -6?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 0, 2*x + 6*b - 9*b - 4 = 0. Let l(c) be the first derivative of 2 - 1\/2*c**x + 0*c. Let m(k) = 4*k. What is m(l(q))?\nAnswer: -4*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = k**3 + k - 1. Let l(j) = -4*j**3 + 8*j**2 - 12*j + 5. Let m(x) = l(x) + 3*p(x). Let b be m(6). Calculate the greatest common factor of 220 and b.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.4129482733 to three dps.\nAnswer: -0.413","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1\/3, 1, 5, 3, -12\/13 in descending order.\nAnswer: 5, 3, 1, -1\/3, -12\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 14, e: 4}. Give prob of sequence kk.\nAnswer: 91\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c + 4*c - 160 = 0. Suppose d - c = 47. Suppose 4*z + z - i = 181, -2*z - 5*i + d = 0. Calculate the remainder when z is divided by 10.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -57*u**2 + 147*u**2 - 82*u**2.\nAnswer: 8*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 119 and 98.\nAnswer: 1666","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -105.2285 - -0.82.\nAnswer: -104.4085","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qqqquqquuuqnuqnnn. Give prob of sequence uq.\nAnswer: 5\/34","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Express -792*n**2 + 2*n**3 + 3*n + 729*n**2 + 0*n**3 as t*n + g*n**2 + j + r*n**3 and give t.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 2569 and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 208 and -625481.9121?\nAnswer: 625689.9121","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 18 + -14. Let q = -2.9 + y. Let v = q - 5.1. Put 10, -3, v in increasing order.\nAnswer: v, -3, 10","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 313542200 + -0.020644.\nAnswer: 313542199.979356","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -1507*h**3 + h**2 + 1 - h - h + 1506*h**3 - 1 in the form y*h**2 + r*h + s + z*h**3 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7624\/72 - 2\/(-18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 427.6738 rounded to the nearest ten?\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 equal to -2\/2787?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = n. Let p(c) = 1. Let d(h) = 1 + 8 + 63*h + 2 - 17. Let j(t) = -d(t) - 6*p(t). Give g(j(v)).\nAnswer: -63*v","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 591 minutes after 11:49 PM?\nAnswer: 9:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 38 divide 1175072489?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(l) = -l**2 - l + 7. Let c be q(0). Suppose x = 5*b - 164 - 218, -243 = -3*b - 4*x. What is the highest common factor of c and b?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 36 - 2?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 5*c**2 - 6*c. Let v(z) = 14*z - 13*z - 2*z. Determine b(v(d)).\nAnswer: 5*d**2 + 6*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -227, -3453, -3.\nAnswer: -3453, -227, -3, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 30 and 6915.\nAnswer: 13830","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 5112*f**2 - 51*f - 415. Let n be r(35). What is n rounded to the nearest 100000?\nAnswer: 6300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -311 (base 6) in base 7?\nAnswer: -223","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o**5 - 116*o**4 - 828*o**3 - 1324*o**2 - 608*o = 0. What is o?\nAnswer: -19, -8, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 103995330 to the nearest integer?\nAnswer: 10198","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1?  (a) 2\/5  (b) 6\/7  (c) 2\/29\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Does 473 divide 209666973?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/(6\/(-15) + 0). Let f = 19\/2 + l. Which is the second smallest value?  (a) -1  (b) 0.2  (c) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*v + 0*v + 130 = 0. Suppose 3*s - 45 = -3*h, 4*h - v = -0*s - 2*s. What is the remainder when 31 is divided by s?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k**3\/19 - 3444*k**2\/19 - 13800*k\/19 - 13808\/19 = 0. What is k?\nAnswer: -2, 1726","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((h**10*h**(-3)\/h*h)\/(h\/(h**(2\/21)*h)*h**(-1\/13)))**(-24\/5))**43 assuming h is positive.\nAnswer: h**(-673552\/455)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1096*y**3 - 336*y - 1199*y**3 - 209*y**3 - 2760*y**3.\nAnswer: -5264*y**3 - 336*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in q**2 - 3 + 2 - 8*q - 21*q + 228*q - 57*q.\nAnswer: q**2 + 142*q - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: -0.03 - -31.6\nAnswer: 31.57","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(l) = l**3 + 23*l**2 + 41*l - 20. What is the hundreds digit of v(-20)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = d**2 + 4*d - 7. Let j be f(-6). Suppose q = t - 1, -t + j*q + 0*q = 3. Let n(x) = 17*x - 1. What are the prime factors of n(t)?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 7877 - 5445 = 18500*u + 163748 + 23684 for u.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.2?  (a) -20\/7  (b) -4  (c) 208\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 11019376?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 42 = -14*k + 112. Suppose -85 = -2*v - 5*h, k*v - 5*h - 123 = 142. What is the remainder when v is divided by 25?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -18*k - 74 = -128 + 43 + 65 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*h + 7*o - 8 = -0*h + 6*o + 14, -4*h = o - 48 for h.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 9740?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.1, -1\/3, -176?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8723.3717 - -8723. Let k = g - 0.0283. Which is the nearest to -5?  (a) 2\/11  (b) 0.3  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = y + 9. Let g be v(-4). Let z(b) = 2*b**2 + 3*b + 6. What is the units digit of z(g)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*((-2*sqrt(210) + sqrt(210) - sqrt(210))\/sqrt(7))\/(sqrt(486)*2 - sqrt(486)).\nAnswer: -4*sqrt(5)\/9","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Put -1\/4, 4903, 6, -0.1 in descending order.\nAnswer: 4903, 6, -0.1, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -50444485 divided by 5\nAnswer: -10088897","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 29666, 59547, 89640, 119945, 150462, 181191?\nAnswer: 212132","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 345 - -108. What are the prime factors of g?\nAnswer: 3, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 62046 is divided by 1189?\nAnswer: 218","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 0.2 + 0.8. Let y(j) = j**2 + 13*j - 5. Let p be y(-13). Let q be ((-1)\/10)\/(1\/(-6)). Which is the nearest to g?  (a) q  (b) 2  (c) p\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (7\/(-3)*3)\/((4524\/(-29))\/52)?\nAnswer: 7\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-12)\/(-8)*408\/9?\nAnswer: 2, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -30 or -3\/4?\nAnswer: -30","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25*b + 5*b = 11*b. Suppose 453*x - 455*x + 12 = b. What is the least common multiple of x and 87?\nAnswer: 174","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 38b - 2?\nAnswer: 389","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -85\/21591372 and 11\/17218.\nAnswer: 21591372","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -2.2 + 5. Let s = 1.1 - g. Let z = 2 + s. What is the second smallest value in z, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(f) = 36*f + 44. Let l(q) = 29*q + 33. Let d(b) = 3*k(b) - 4*l(b). Let s(t) be the third derivative of -t**5\/15 - t**2. Determine d(s(y)).\nAnswer: 32*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*1*(1 + sqrt(2))*-5 + 1)**2.\nAnswer: 1860*sqrt(2) + 2761","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 1 + 3*q + 6*q**3 + 5*q**2 + 4*q**3 - 9*q**3. Let c(x) = x**2 - 15*x - 4. Let b be c(13). Let w = 28 + b. Calculate m(w).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the second derivative of -23*h**3\/6 + 4*h. Let o(c) = c**2 + 5*c + 7. Let w be o(-5). Let i(p) = -2*p + 7 - w. Calculate l(i(s)).\nAnswer: 46*s","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 12 + 3231123?\nAnswer: 3231140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8 - 6. Suppose 0 = 6*j - u*j + 20. Let o = 14 + j. What is the units digit of o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o - 2*s + 42 = 0, 7 = -9*o + 15*o - 5*s. Let x(m) = 59*m - 419. Give x(o).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -64 + 360. Is g a multiple of 15?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -479 + 479. Let v(r) be the third derivative of r**4\/24 + 2*r**3\/3 - 2*r**2. Let n be v(0). Solve l = n*x + 13 - 1 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1339 + 9841 - 391 + 8566 + 90)*(-2*b**2 + 0*b**2 + 0*b**2).\nAnswer: -33534*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort -7, -5, 11, -1, 56, 5.\nAnswer: -7, -5, -1, 5, 11, 56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {g: 1, v: 14, f: 2}. What is prob of sequence fvgf?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 714681?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 933 - 957. What is the nearest to r in 13, -4, -5?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -l**3\/5 - 882*l**2\/5 - 97836*l\/5 - 2913752\/5.\nAnswer: -(l + 62)**2*(l + 758)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 10936126 is divided by 2212.\nAnswer: 2210","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6 - 4 + 17*y - 15*y)*(y - 2*y + 2*y) - 29 + 29 + 12*y**2.\nAnswer: 14*y**2 + 2*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -130312 divided by -16289.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 2, n: 6}. What is prob of sequence yn?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -4.01 + 4. Let j = 1.21 + -2.22. Let g = f - j. Which is the second smallest value?  (a) g  (b) 0  (c) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -22397912, -44795827, -67193742, -89591657, -111989572?\n\"Answer: -22397915*z + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*r + 4 = 0, 4*r = 3*v + r - 12 for v.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -17*f - 1576 + 1729 for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 2*q**2 - 1)*(16736 + 20010 - 33250).\nAnswer: -6992*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1202 + -2230122002?\nAnswer: -2230120200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12 - 7. Let l = 17.7 - 18. What is the second biggest value in v, 0.3, l?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.25073 to 4 dps.\nAnswer: 0.2507","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o = o + 6. Suppose o*q - 9 = 1. Suppose -q*i - 6 = 9. Which is greater: -4 or i?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:56 AM and 12:55 PM?\nAnswer: 539","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let r(p) be the second derivative of -1061*p**5\/20 + 371*p**3\/2 + 167*p - 1. Find the second derivative of r(w) wrt w.\nAnswer: -6366*w","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t + 11 = a - 20*a, 3*a = -5*t + 17. Let f = 21 + -11. What is the third smallest value in a, 5, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.28 * -0.02735\nAnswer: 0.007658","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 3  (b) 21  (c) 4  (d) 11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 4*l**3*v - 22307934*l**3 - 1873*l**2*v - 424*v wrt v.\nAnswer: 4*l**3 - 1873*l**2 - 424","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hmmmzhghdhh. Give prob of picking 1 h, 1 m, and 1 g.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in twenty-six fifths of a century?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 677 minutes before 11:14 AM?\nAnswer: 11:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 4 = -u, -4*u + 1 = 3*b - 0*b. Let f be -8 + 24\/4 + -3. Let h be f\/(-3) + 4\/(-6). Is b greater than or equal to h?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r - 3*r + 2*r)*(0 + 0 - 2*r) + 0*r**2 + 2*r**2 - r**2 + 7 - 18*r**2 - 7 + 2 - 2 + 4*r**2.\nAnswer: -15*r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -25851 and -2?\nAnswer: 51702","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3 + (10\/(-2))\/(-5). Let c = 27 - -53. Suppose -4*q = 2*n - 18 - 64, -c = -l*q - 4*n. Calculate the remainder when 83 is divided by q.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 153*n - 151*n + 4. Let p(w) = 185251*w**2 + 12*w + 20. Let x be p(n). What is x rounded to the nearest one hundred thousand?\nAnswer: 700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 - 0. Let x be (-32)\/(-1) - 8\/q. Calculate the highest common factor of 20 and x.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 times 19\nAnswer: -76","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3517 (base 9) to base 14.\nAnswer: d44","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 18789992?\nAnswer: 2, 13, 79, 2287","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -5, -1020786, 4, -3, -2.\nAnswer: -1020786, -5, -3, -2, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 26 and 208?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) = l**3 + l**2 - l. Let m = 105 - 106. Let y(s) = -5*s**3 - 3*s**2 + 6*s. Calculate m*y(g) - 3*x(g).\nAnswer: 2*g**3 - 3*g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 73*x - 76*x. Suppose x = 5*m - 4*w - 9, -3*m - 4 = -5*w - 12. Let z = -9 - -13. Solve m + 3 = z*i for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = 511*w + 16. Let k be l(1). Let u(f) = -6*f + 4*f - k + 250 + 262. Give u(-11).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 104389 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 15 (base 13) in base 16?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6631352 times -0.5?\nAnswer: 0.3315676","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -3*u + 5. Let p(m) be the second derivative of -m**3 + 9*m**2\/2 + 4*m. Let h be (-23)\/(-7) + (77\/(-7) - (-1050)\/98). Determine h*p(v) - 5*x(v).\nAnswer: -3*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -37*j**2. Let n(l) = 16*l**2 + 0 + 0 - 18*l**2. Give n(a(d)).\nAnswer: -2738*d**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 8*z + 5*z - 8*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.23?  (a) 1\/8  (b) 2  (c) -696405  (d) 4\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) be the second derivative of y**4\/6 - 7*y**3\/6 + y**2 - y. List the prime factors of a(5).\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1527 - 1?\nAnswer: 1526","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 t and 2 b when three letters picked without replacement from {b: 1, h: 1, t: 1, l: 2}?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {m: 3, g: 7}. What is prob of picking 1 m and 1 g?\nAnswer: 7\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qhllghggglngjggggj. Give prob of sequence ljqh.\nAnswer: 1\/6120","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 108 - 60. Calculate the highest common divisor of 216 and l.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-33484)\/6088*54\/(-33)?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 2\/11, 60, -3\/802?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 54 - 36. Let n = -425 - -443. Is i greater than or equal to n?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 63527 to the nearest integer?\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*o + 3*o = -5*l, 5*l = -4*o. Suppose o = -9*g - 569 + 2171. What is the remainder when g is divided by 30?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1191.34 and -336?\nAnswer: 400290.24","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = 27*i**2 - 58*i - 260. Let c(v) = 9*v**2 - 20*v - 87. Let a(p) = -17*c(p) + 6*s(p). What is the remainder when a(-5) is divided by 37?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 432 minutes before 9:39 PM?\nAnswer: 2:27 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -84*g**3*z**2 - 7*g**3*z - 473*g**3 + 25*z**2 wrt z.\nAnswer: -168*g**3 + 50","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -827 (base 11) in base 2?\nAnswer: -1111100101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 181 minutes after 9:53 AM?\nAnswer: 12:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/9  (b) -1\/4  (c) -33\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 243 and -143.91.\nAnswer: -34970.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -62?  (a) -2\/385  (b) 3  (c) -16  (d) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(sqrt(117) - sqrt(117)*4 - sqrt(117) - sqrt(117)))\/((2*sqrt(99))\/sqrt(11))*4.\nAnswer: 40*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -13 - -63. What is the least common multiple of ((-8)\/(-10))\/((-20)\/i) - -35 and 18?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3155 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -4, 6, -176, 2, 0 in decreasing order.\nAnswer: 6, 2, 1, 0, -4, -176","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = 2*s**3 - s**2 - 102*s + 198. Calculate h(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 17948 - 17946. Which is the closest to m?  (a) 2\/7  (b) 0.9  (c) -7  (d) 5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 10*(0 + -4) + -4. Let u = -26 - q. Calculate the lowest common multiple of u and 14.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -161\/1500 and -65\/6.\nAnswer: 1500","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fxd when three letters picked without replacement from ffedffeddeffddxexd?\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort 27, 19, -1024.\nAnswer: -1024, 19, 27","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 511931?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 11\/4 of a millennium?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 105*a**2 - 482*a + 3. Calculate p(2).\nAnswer: -541","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r**4 - 10*r**3 - 180*r**2 - 440*r - 320 = 0. What is r?\nAnswer: -2, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {j: 9, z: 4, f: 3}. What is prob of picking 1 f and 2 z?\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -0.25418 + 0.279016. What is c rounded to 3 dps?\nAnswer: 0.025","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -274845 <= -274843?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the third derivative of o**8\/42 - o**5\/6 - 3*o**2. What is the third derivative of k(c) wrt c?\nAnswer: 480*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*u - 15*u + 25. Suppose 3*n - u*g - 8 = -n, -4*n + 16 = -3*g. Let d = -2 + n. Solve -6*c = -d*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f. Let n(w) = 51*w. Let r(l) = 151*l. Let h(o) = 17*n(o) - 6*r(o). What is h(c(t))?\nAnswer: 39*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let c be -7 + 6*(-121)\/(-66) + 38\/10. Factor -18\/5 + 3*z**2 - c*z.\nAnswer: 3*(z - 3)*(5*z + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 2393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a = 7*a - 16. Let u(b) = 37 - 30 - 67 - b**a + 0*b**2 + 34*b. What is the tens digit of u(29)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 4, -6, -18, -32, -48, -66, -86?\n\"Answer: -b**2 - 7*b + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) = -41*b**3 - 96. Let m(o) = 21*o**3 + 48. Let c(q) = -13*m(q) - 6*t(q). Find the first derivative of c(s) wrt s.\nAnswer: -81*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1581?\nAnswer: 3, 17, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -57\/10 and (102\/(-48))\/(1\/6).\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -28 + (-50 + 0 - (1762 - 1753)).\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 279 minutes after 8:22 AM?\nAnswer: 1:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 761 is divided by 416.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = 35*f**2 + 194*f + 6. What is r(-5)?\nAnswer: -89","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y*y**(-4\/7)*y*y**(-30)*y assuming y is positive.\nAnswer: y**(-193\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -5*w**2. Let p(f) be the first derivative of 1 + 5*f - f - f**2 - 4*f. Give i(p(b)).\nAnswer: -20*b**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 241 - 236. Suppose -2*q = z*r, -r + 46 = -0*q + 5*q. Is q a multiple of 10?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 611367*v**4 + 1675017 with respect to v.\nAnswer: 2445468*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -88\/1965 and 1\/11616687?\nAnswer: 58083435","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: 0.01 times -106045\nAnswer: -1060.45","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 14259 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) 5  (c) 0.4  (d) -84  (e) 10.4  (f) 0.1  (g) -3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:04 AM and 9:59 AM?\nAnswer: 595","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -4.0626 to the nearest ten.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.04, -0.8, -0.1, -1\/3, -2\/11 in descending order.\nAnswer: -0.04, -0.1, -2\/11, -1\/3, -0.8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/7*(-66)\/(-297).\nAnswer: -2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 47.4028422 rounded to the nearest 10?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(x) = -x**3 - 5*x**2 - 3*x + 5. Let g be k(-4). Let t = 21.35 - 21.35. Which is the third smallest value?  (a) 28\/5  (b) t  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20 - -13 - (-14 - -3).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (-2)\/22 + (-711150)\/(-363) - -7?\nAnswer: 2, 983","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66798*g - 3075 = -67003*g for g.\nAnswer: 15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 5937*c - 5937*c - 43*c**3 - 14*c**2 wrt c.\nAnswer: -258","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = l**2 - 2*l - 33. Let w be s(0). Let r = 24 + w. What is the second smallest value in -1, 3, r?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*f - 144 = -7*f. Let a = f + 36. Is 24 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -108 + 116. Let c = x + 28. Calculate the greatest common divisor of c and 180.\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is -4 (base 14) in base 3?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -4 - -1. Let o(f) be the second derivative of -3*f**3\/2 - f**2 + 12*f. Let g(a) = 3*a + 1. Let n(q) = u*o(q) - 8*g(q). Determine n(2).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 91 = -2*r - r, 3*r - q = 106. Suppose 3*w = -2*y + 17, 5*w + 0*y - y = r. Suppose 3*j - w*j + 20 = 0. Does 2 divide j?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -50*c**3 + 38*c**2 + 96*c + 40. Let n(q) = q**3 - q - 4. Let k(p) = 8*n(p) + s(p). Determine m, given that k(m) = 0.\nAnswer: -1, -2\/21, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 6\/24 + (-16037)\/(-28). Let o = -571 + u. Solve -o*k + 5*q = k - 12, 3*k + q + 6 = 0 for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) be the third derivative of p**6\/120 + p**5\/20 - p**4\/6 + p**3\/3 + 2*p**2. Let b be a(-4). Suppose -b*i + 17600 = 2*i. Round i to the nearest 1000.\nAnswer: 4000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -x**2 - 3*x + 60. Let i be g(0). Let m = 65 - i. What is the greatest common factor of 1 and m?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -12*m + 12. Let d(s) = -35*s + 35. Let l(w) = -4*d(w) + 11*i(w). Differentiate l(x) with respect to x.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -6505, -6510, -6515?\n\"Answer: -5*w - 6500","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -39, -305, -1027, -2433, -4751, -8209, -13035?\nAnswer: -19457","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.000178um to meters.\nAnswer: 0.000001000178","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 6*r**3*x + 2*r**3 + 7*r**2 - 13066*r*x**4 - 4*r + 15 with respect to x.\nAnswer: 6*r**3 - 52264*r*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*h - h - 12019 + 11823 = -5*w, 4*h - 5*w + 193 = 0 for h.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.044  (b) 0.01  (c) 4  (d) -5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -537, -4, 4, -5 in increasing order.\nAnswer: -537, -5, -4, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-16)\/48 + 34\/66. What is the nearest to 0.05 in 3, f, 1\/4?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 19 and 8013041?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 182 and 104.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 43, 240, 437, 634?\nAnswer: 831","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-3)\/15 - (-276)\/30. Suppose 52 = k + c. Is 9 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3344 is divided by 425?\nAnswer: 369","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(r) be the first derivative of -11*r**3\/3 + 325. Let t(q) = -q - 31. Calculate b(t(s)).\nAnswer: -11*s**2 - 682*s - 10571","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in -35.2, 0.26, -28, -2, 4\/7, -1\/7?\nAnswer: 0.26","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express -5028*z**3 - 4*z**2 + 2510*z**3 + 2517*z**3 - 33*z as j*z**2 + w*z + l + h*z**3 and give w.\nAnswer: -33","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.6 - 0.3. Let q = -58 + 55. Which is the nearest to -1\/3?  (a) q  (b) 1\/2  (c) i\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*b - 29 = -5*u + 2*b, 12 = 2*u + b. Let s be u\/(-15) - 1232\/(-6). Suppose -s = -5*d - 65. Does 13 divide d?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = 11*t + 257, t = 2*n - 0*n - t - 52 for n.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 333?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 18?  (a) 0.4  (b) -233  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u\/(u\/u**(-1\/6)))**(4\/7) assuming u is positive.\nAnswer: u**(-2\/21)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 50807350?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 3*f + 3)*(1 + 3 - 5)*(-9 + 9 + 5*f**2).\nAnswer: 15*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3214112 is divided by 861?\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 32 a factor of 5512116640?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 2, h: 16}. Give prob of sequence ehe.\nAnswer: 1\/153","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 267*a. Let y be h(1). What is the common denominator of 89\/16 and 1 - (y\/(-12) - 1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -2*q + 2. Let c be 5 + 3 + -10 + (0 - -1). Let w = -2 + c. What is l(w)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6*4\/32*(-5120)\/(-288)*9\/3?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 55 + 398 = -3*b. Let z = 437 + b. Is z a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 261505 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 72588355 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 5632?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 1613 - 1188. Is v a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -132559350 and -0.6.\nAnswer: -132559350.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 251?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Work out -16.3 * -1.\nAnswer: 16.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in five quarters of a meter?\nAnswer: 125","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l - l - 2*k = 1, 2*l - 2*k = 4. Let r(c) = 0*c - 2 - c**2 - 11*c + 6*c. Give r(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.073 minus 847090704721?\nAnswer: -847090704721.073","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 45829 greater than or equal to 45821?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 3314.004851 - 3314. Round m to 4 dps.\nAnswer: 0.0049","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 166*x**4 + 58*x**4 + 52*x**4 - 13*x**4 + 3*x**4 + x**4 - 5*x**4 + 3*x**3 - 3*x**3 + x**4 + (0 + 0 - 2*x**2)*(-4 + 4 - x**2).\nAnswer: 265*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 6125?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l. Let z(m) = -5*m. Let g(w) be the first derivative of w**2\/2 + 7. Let j(r) = 6*g(r) + z(r). Determine b(j(c)).\nAnswer: -c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: 149560 divided by -5\nAnswer: -29912","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 0, 12, 50, 4 in increasing order.\nAnswer: -1, 0, 4, 12, 50","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3205 + 3261 - (54 + -1).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 + (-17 - (1 - (1 - -12))) + -29.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -2\/19 equal to -606?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 42 a factor of 154267050?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:00 AM and 7:15 AM?\nAnswer: 315","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1 + ((1*sqrt(216))\/(sqrt(18)\/(sqrt(63)\/sqrt(7))) + -4)**2.\nAnswer: -48*sqrt(3) + 125","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5*l**3 - 201745*l**2 + 2034951375*l + 2035153125.\nAnswer: 5*(l - 20175)**2*(l + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = h + 4. Let a be g(-6). Let z be a\/(-10) - (-45)\/(-100). Let v = 2 - 2. What is the closest to z in 4, v, -1\/5?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2 + 0 + 0)*(-2 - 2 + 3)*(33*i**3 + 18*i**3 - 17*i**3).\nAnswer: -68*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 22 + -22.9. Let z = -0.1 + u. Let t be (6\/5)\/((-6)\/(-20)). What is the nearest to -5 in t, z, 0.3?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -5899, -47259, -159563, -378295, -738939, -1276979, -2027899, -3027183?\nAnswer: -4310315","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort 43, 2, 12.\nAnswer: 2, 12, 43","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4239, 8484, 12741, 17022, 21339, 25704, 30129, 34626?\nAnswer: 39207","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k\/k**0)**43*((k**(1\/3)\/k)\/k*k)**50)**50 assuming k is positive.\nAnswer: k**(1450\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2\/1019 - -3089\/16304. Calculate the common denominator of (6\/120)\/((-28)\/385) and b.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 1\/5, 80, -3\/2, 3, -17.6, 13?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 62423 = -4*o + 10009, 0 = o + 5. Is v composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.16 + 0.04. Let i = g + -9.2. Let x = -1821 - -1824. Which is the third smallest value?  (a) -3\/4  (b) x  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-3 - -2)\/((-2)\/6). Let q(u) = 4*u - 11. Let l(d) = -2*d + 6. Let m(v) = s*q(v) + 5*l(v). Let c be ((-8)\/6)\/((-2)\/3). Calculate m(c).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-5)\/(100\/8) + 87. Let w = s - 87. What is the fourth smallest value in w, 0.5, 1, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence hhz when three letters picked without replacement from hhrrrrrhrrrrrhhzhrh.\nAnswer: 7\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + (sqrt(176)*-2 + -3 - (-2*sqrt(176) + -3)) + sqrt(176) + 2 + 5 + -5)**2 + 4.\nAnswer: -16*sqrt(11) + 184","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-11)\/(-20))\/((-30173)\/(-2110))?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 129 a factor of 1102305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i be ((-56)\/(-70))\/((-4)\/(-10)). Factor 3*t**2 + t**4 - 3*t**2 - 2*t**4 - t**i - 3*t + 2 + 3*t**3.\nAnswer: -(t - 2)*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -7 or 64.451?\nAnswer: 64.451","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (12\/(-10))\/(4\/(-10)). Let u(i) = -2*i**2 - 4. Let k be u(x). Let y be (-9)\/(-6)*k\/(-3). What is the greatest common factor of y and 55?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 88 and 9548.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -2.5 - -3. Let d = 0.18 - -0.12. What is the nearest to -2\/3 in y, -0.4, d?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8*b = -0*b - 24 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -44 - -49. Suppose -2*d - 2*d + 2*i = -212, 0 = -4*d - u*i + 240. What is the remainder when 328 is divided by d?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = -32*g + 3. Suppose -q = 4 - 13. What is the remainder when t(-1) is divided by q?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((n**(2\/5)\/n)\/(n*(n**(2\/5)*n)\/n))\/(n*n*n\/((n*(n\/(n*(n\/(n*n**0*n))\/n*n))\/n)\/n)*n)**2 assuming n is positive.\nAnswer: n**(-10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -540*v**2. Let r(k) = -101*k - 98*k + 300*k - 100*k. Determine y(r(n)).\nAnswer: -540*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort -57, 1.1, -6.\nAnswer: -57, -6, 1.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (312\/7)\/1 + (-64)\/112. Suppose -5*n - a - 66 = -5*b, 5*b - 80 = -5*n. Does 5 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(sqrt(192) + ((sqrt(192) - (sqrt(192)*2 - sqrt(192)))*-5 - sqrt(192)) - -5*(sqrt(192) + 2*sqrt(192)))\/((-4*sqrt(72))\/sqrt(2)).\nAnswer: -25*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = 5*z. Let c(n) = -10*n + 5*n + 3*n. Calculate k(c(q)).\nAnswer: -10*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 62*x**2 - 23*x**2 - 40*x**2.\nAnswer: -x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-2747)\/55555)\/(4\/419). Let g = o - -8\/271. Find the common denominator of g and -107\/12.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -1.36 + 1.534. Let p = d + 81.826. Let k = -81.999934 + p. What is k rounded to 4 dps?\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 319, -0.199, 4 in decreasing order.\nAnswer: 319, 4, -0.199","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = 3*v**2. Let l(z) = -426*z**2 - 560*z**2 + 2 + 883*z**2. Determine k(l(m)).\nAnswer: 31827*m**4 - 1236*m**2 + 12","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) be the third derivative of -y**5\/30 - 13*y**4\/12 + 14*y**3\/3 - 5*y**2 + 14*y. Solve q(i) = 0 for i.\nAnswer: -14, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/4, 1, -1, -1\/5.\nAnswer: -1, -1\/5, 1\/4, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 2*p**2. Let k(x) = -7*x**2 + 381*x + 1. Calculate k(a(i)).\nAnswer: -28*i**4 + 762*i**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 0.28 + 1.72. Sort f, -1, 1\/4 in descending order.\nAnswer: f, 1\/4, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of i**4*x**3 - 4*i**4*x**2 - 23412*i**3 + i**2 - 658*x**3 - 23 wrt i.\nAnswer: 24*i*x**3 - 96*i*x**2 - 140472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 167, 330, 493, 656?\n\"Answer: 163*y + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 348984 and 23580?\nAnswer: 1744920","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-12)\/3)\/(-16) + (-54)\/(-8). Let n(a) be the second derivative of a**4\/12 - 3*a**3\/2 + 19*a**2\/2 - 3*a. Let c be n(k). Solve -4 = 3*v + c for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 34\/51*(-6)\/32.\nAnswer: -1\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {y: 3, v: 3}. What is prob of sequence vv?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 6.7 - -0.3. Let h = -3 + u. Let a = h - 4. What is the nearest to a in -1\/2, 4\/3, 2\/5?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -101*m**3 - 4*m**2 - 139*m**4 + 32*m**4 - 7 + 99*m**3 - m + 2*m**2 to the form j*m**2 + g*m + x + l*m**4 + y*m**3 and give x.\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -493 = -25*v - 93. Suppose -v*p + 22*p = 9372. List the prime factors of p.\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*u - u - 5*u)*(-14*u**4 + 23*u**4 - 10*u**4 - 13*u**3).\nAnswer: u**5 + 13*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 789 - 551. Let s = 253 - h. Sort 0, s, 2 in ascending order.\nAnswer: 0, 2, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -31\/258482 and -71\/2994.\nAnswer: 775446","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -82 - 13. Let j = -9 + g. Suppose -x = -3*x - 5*n + 35, 4*n = 2*x + j. Sort 1, -5, x in increasing order.\nAnswer: -5, 1, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1684574 or 14?\nAnswer: 14","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - m + 0*m + 0*m)*(-13 - 7 + 19).\nAnswer: m + 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = 3*q**2 - 10*q + 1. Let h be b(8). Let s = h - 95. What is the least common multiple of 30 and s?\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-9)\/18 - (-5)\/2. Suppose 31 = u*s - 65. What is the greatest common factor of s and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-10*(-1)\/8)\/((3\/4)\/(48\/(-16))).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -111111111011 (base 2) to base 14\nAnswer: -16c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -50 + 38. Let i be 1538\/12 - (2 - (-30)\/n). Solve -208\/3*a**4 + 32\/3*a**5 - 52*a**2 + 6*a + i*a**3 + 0 = 0 for a.\nAnswer: 0, 1\/4, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 1, -3, -27, 2\/55, 4?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b + 9. Suppose 3*o + 2*o - 37 = -4*m, 0 = 5*o - 2*m - 19. Calculate the remainder when 22 is divided by u(o).\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 3732 and 924735486?\nAnswer: 1866","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2112112220122 (base 3) to base 16.\nAnswer: -1496c3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(((-8)\/36)\/((-142)\/(-5538))).\nAnswer: -9\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i + 16 = -2*j, 196 - 351 = 5*j + 28*i for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 83\/232806 and -56\/141?\nAnswer: 10941882","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1344746254.\nAnswer: 2, 107, 6283861","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d - 4 = x - d, d - 5 = 0. Let t = x - 11. Is 456\/3 - (3 - t) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 16108 is divided by 119.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: 256 * -0.00599\nAnswer: -1.53344","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = 4*d - 57. Let m(j) = 4*j - 76. Let r(i) = 4*g(i) - 3*m(i). Let c(v) be the third derivative of v**4\/8 + v**2. What is r(c(u))?\nAnswer: 12*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2\/337 + -2008\/2359. Which is greater: 0 or i?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -11*t - 39 + 14*t - 3*t**2 + 39 = 0. Calculate t.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 5, q: 7, h: 8}. Give prob of picking 2 e.\nAnswer: 1\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2846789061 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 11485244 a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1387295 is divided by 48?\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 1.18 - 1.7. Let j = m - -0.52000033. Round j to 7 dps.\nAnswer: 0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2656 + 2505. Put r, 2, 4 in decreasing order.\nAnswer: 4, 2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(g) = -g**3 + 9*g**2 + 4 - 6*g**2 - 4*g**2. Is 7 a factor of z(-3)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((g\/g**3)\/g**(4\/9))**(-45))**27)**(-44) assuming g is positive.\nAnswer: g**(-130680)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d(l) = 1. Let p(n) = 16*n - 6. Determine -6*d(o) - p(o).\nAnswer: -16*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) be the third derivative of -n**4\/12 - 7*n**3\/6 - 15*n**2. Let h be j(-5). Let c be h + (-4)\/8*-4. Let s(f) = -f**3 + 4*f**2 + 7*f - 5. Give s(c).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 171 and 21838602?\nAnswer: 1244800314","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -46 + -0.2313?\nAnswer: -46.2313","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -61 + (-72 - -324) + -89.\nAnswer: 102","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3947 - 3946.6. Let u = -5 - -4.86. Which is the third smallest value?  (a) d  (b) -3  (c) u\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 52 divide 49178116?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 + -4.6. Let w be -2 + (0 - 1) + 78\/30. Put -2\/7, w, y in decreasing order.\nAnswer: y, -2\/7, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 13, 37, 61, 85, 109, 133?\n\"Answer: 24*d - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (18\/(-10))\/(48\/(-80)).\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66 = 5*j + 6. Suppose -4*u = -4*x - 0*x - 8, 2*u = -2*x + j. What is the third derivative of -3*y**4 + 3*y**u + 4*y**2 - 3*y**2 - 2*y**6 wrt y?\nAnswer: -240*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -d**2 - 22*d + 54. Let z be f(-24). Let u(k) = -6306*k**2 + 6*k - 20. Let y be u(z). Round y to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 45*t**2 + 24927*t - 2056. Calculate h(-554).\nAnswer: -394","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y**(2\/7))**27\/(y**(2\/5))**(-6\/5) assuming y is positive.\nAnswer: y**(1434\/175)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 7717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 297*c - 7785 = 2907. Calculate the least common multiple of c and 8\/5*(-25)\/(-2).\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41059 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 30, 131, 304, 555, 890, 1315?\n\"Answer: g**3 + 30*g**2 + 4*g - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*a - 7 = -b, 0*b = -2*a - 4*b - 2. Let i(h) = -h**3 - 15*h**2 + 28*h - 18. Let y(v) = -7*v**2 + 15*v - 9. Let c(j) = -2*i(j) + 5*y(j). Is c(a) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = -2288*a - 5. Is d(-1) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 628 minutes before 6:22 AM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) -8.68  (c) 1\/6  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 14417136 and 1269?\nAnswer: 677605392","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 37 - 3*m + 9*m**2 - 54 + 3*m + 2*m - 2*m**2 to i*m**2 + k*m + z and give k.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 22141000 rounded to the nearest one hundred thousand?\nAnswer: 22100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 6 + -2. Suppose 2*r + 0*r - 12 = 4*a, -3*r = t*a + 32. What is the nearest to r in 0, 1, 1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -65\/231 and -83\/770.\nAnswer: 2310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -4894.4143 and -0.17702?\nAnswer: 4894.23728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = -r**3 + 2*r**2 + 2*r - 5. Let j be 4\/14 + (-40)\/(-7). Let q = -10 + j. Is z(q) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 4085609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (((-14)\/3)\/14)\/(2\/24)?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sum -0.1853047 and -45188.\nAnswer: -45188.1853047","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 96 - 79. What is the remainder when n is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ddnd when four letters picked without replacement from {d: 3, n: 1}.\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round -11.651262077 to two decimal places.\nAnswer: -11.65","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -5017, -5036, -5065, -5104?\n\"Answer: -5*p**2 - 4*p - 5008","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0635614 take away 30074747?\nAnswer: -30074746.9364386","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1 - -366515498\nAnswer: 366515499","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(77)*1*5 + (1*sqrt(77) + sqrt(77) - sqrt(77))*-3)\/(-5*2*sqrt(1100) + sqrt(1100) - sqrt(1100)).\nAnswer: -sqrt(7)\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express -9*w**2 - 16*w**2 - 63 + 39*w**2 - 15*w**2 in the form j*w**2 + t*w + a and give a.\nAnswer: -63","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 168\/71 or 0.2?\nAnswer: 168\/71","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 32286168 or -2\/5?\nAnswer: 32286168","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-2*6\/30)\/((-2)\/(-10)). Let w be (-5)\/b*(-32)\/(-40). Let k(z) = z**3 - 2*z**2 + z. Determine k(w).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**2 - n. Let v be o(2). Suppose -v*l + l = -2. Factor 5\/3*w - 5\/3*w**3 - 2\/3 + 2\/3*w**l.\nAnswer: -(w - 1)*(w + 1)*(5*w - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 346289?\nAnswer: 29, 11941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8 + 8. Suppose 3*w - 90 - 18 = n. Suppose -593*l + 597*l = 2*k - 30, -3*k + 59 = l. What is the remainder when w is divided by k?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = -s - 4*b - 4, 5*s + 5 = -2*b. Is 7\/2 less than s?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*o = o + 3*p - 68, -5*o - 2*p = 62. Let n = o + 8. Let v(c) = -c**2 - 7*c + 5. Does 7 divide v(n)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6655266.\nAnswer: 2, 3, 31, 11927","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Product of 79 and 0.1.\nAnswer: 7.9","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 29\/3 + -9. Which is the second biggest value?  (a) 0.02  (b) w  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1)\/(-5) - (-3)\/(-5). Let t = 67 - 403\/6. Which is bigger: z or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 161 plus -7?\nAnswer: 154","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 150371241 to the nearest integer?\nAnswer: 532","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53728 = 2145*f - 17057 for f.\nAnswer: 33","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let m(r) = r**3 - 4*r**2 - r + 4. Let v(k) = k**2 - 5*k + 2. Let u be v(8). Suppose 10 - u = -4*a. Let f be m(a). Solve f = -5*o - 0*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -3, 7, 39, 99, 193, 327, 507, 739?\n\"Answer: x**3 + 5*x**2 - 12*x + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -226, -450, -674?\n\"Answer: -224*q - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1388273.876 - -413468\nAnswer: -974805.876","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1 - -7) + (12 + (-10 - -1) - -4)?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {z: 2, e: 7}. Give prob of sequence zee.\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Add 269.21 and -7549.\nAnswer: -7279.79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 35\/(-49)*(-7)\/6?\nAnswer: 5\/6","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 400783715627 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -10, 2, -5 in increasing order.\nAnswer: -10, -5, -2, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d - 1 = 15. Suppose 2*u = 6*u - d. Suppose -133 = 5*j - 123. Sort j, u, 3 in decreasing order.\nAnswer: 3, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1388411 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 10548 - 10551. Let q = 1 - 2. Let o = q - -2. Which is the second biggest value?  (a) o  (b) m  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2596018121 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -i**2 - 57*i + 58 = 0.\nAnswer: -58, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**0\/x)**4)**(-14)*(x**(-2\/11)*x\/(x*x*x*x*x\/(x*x**0)))\/(x*x\/x**(-5)*x**6*x) assuming x is positive.\nAnswer: x**(427\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve u - 4*u - 30 = 5*j, 8*u - 2*u + 33 = -j for j.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(h) = 2*h - 3. Let c be (9\/9)\/(1\/(-1)). Let q(v) = v**3 + 8*v**2 + v + 9. Let u be q(-8). Let z(x) = x. Give c*w(a) + u*z(a).\nAnswer: -a + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -q**2 + 4*q + 4. Let j be d(4). Let s be 44 - 1\/6*0. Calculate the greatest common divisor of j and s.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2 - -2) + 8\/2. Suppose -t*f - u = 11, -3 = 2*u - 5*u. Let y = 2 - f. Is y a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 19359, 0, -2, 4, 8, 2.\nAnswer: -2, 0, 2, 4, 8, 19359","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*sqrt(19) + 2 + -1 - ((sqrt(228)*-2)\/sqrt(12) - sqrt(19))*6.\nAnswer: 1 + 19*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(h) = -h**2 - h + 132. Suppose 0 = -0*z - 8*z - 0*z. Let b be s(z). Suppose 3*d - 564 = -b. Does 12 divide d?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -h + 2*p - 3*p + 14, -38 = -3*h - 2*p for h.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 41797897?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -19698263 plus 7.362?\nAnswer: -19698255.638","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 7c30ac + 0?\nAnswer: 7c30ac","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(b) = 3*b - 51. Let z be v(18). Solve -z*c - 16 = -7 for c.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -597, -2235, -5005, -8895, -13893, -19987, -27165?\n\"Answer: 2*t**3 - 578*t**2 + 82*t - 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 4194*d. Let w(v) = -v. Calculate a(w(t)).\nAnswer: -4194*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7, 188, -0.7 in decreasing order.\nAnswer: 188, 7, -0.7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -b0 + 0?\nAnswer: -b0","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = 2*o**2 - 4. Let z be t(-2). Suppose 4*g - 192 = z*h, h + 138 = 3*g - 0*h. What is the units digit of g?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (2\/(-45)*6)\/(((-16)\/(-28))\/(1008\/(-43512)))\nAnswer: 2\/185","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - d + 1)*(-1822*d**3 - 4059*d**3 + 614*d**3).\nAnswer: 5267*d**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1680 and 4548990?\nAnswer: 254743440","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from uvuuouhvuv. Give prob of sequence uh.\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the second derivative of 0*n**5 + 0*n**6 + 0 - 2*n**3 + 0*n**2 + 3*n - 1\/14*n**7 + 0*n**4. What is the second derivative of w(x) wrt x?\nAnswer: -60*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 286 (base 11) in base 12?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(33)\/(sqrt(44)\/sqrt(4)*-2) + -4.\nAnswer: -4 - sqrt(3)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) -0.5  (b) -17  (c) -170872\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 62796 and 1051833?\nAnswer: 4207332","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 30590751 is divided by 1142?\nAnswer: 1139","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -440*o + 2639. Let r be d(6). Which is the smallest value?  (a) r  (b) 0.96  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.5428766 rounded to 3 decimal places?\nAnswer: 0.543","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express u**4 + 0*u**2 + 0*u**2 - 248*u**3 + 248*u**3 + 61*u**4 + (u**3 + 4*u**3 - 4*u**3)*(u - 3*u + 0*u) as k + d*u**3 + h*u**2 + a*u**4 + o*u and give a.\nAnswer: 60","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Round 76845020.5 to the nearest 10000.\nAnswer: 76850000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((396\/6)\/6)\/1. Suppose -4*d = -t - 9. Suppose -d*p + k - 5*k = -1542, 4*p - 5*k = 1209. What is the hundreds digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 766 to the nearest integer?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 + 140b67?\nAnswer: 140b63","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-136)\/288 + 0 + (-6)\/(-27). Suppose 8*g + 100*g - 84 = 348. What is the nearest to h in g, -3, 5?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = -2*c. Let t be (-2)\/(1 - (0 + c)). Let l = 0.2483 + 3.7517. Sort l, t, 5 in descending order.\nAnswer: 5, l, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -101313213 (base 4) in base 8?\nAnswer: -216747","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 2, -5, 5, -3, -39 in descending order.\nAnswer: 5, 2, -3, -5, -39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = 86 - 89*a + 46*a + 55*a. Let u be p(-6). Which is smaller: 12 or u?\nAnswer: 12","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -21 = 38886*o - 38890*o + 2*f + 9, f = 3*o - 14 for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -455 + 461. Suppose -f + 3*f - 42 = -2*p, 5*p = -f + 93. What is the greatest common factor of p and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2619 and 179.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -33 - -32. Which is the nearest to q?  (a) -4  (b) -11  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-seven fifths of a litre in millilitres?\nAnswer: 5400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1065.89917 - -1.59638.\nAnswer: -1064.30279","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-5390)\/98*(-3 + 1)*-1. Let y = 115 + c. Suppose -5*m = h - 9 - 0, 0 = 2*m + 4*h. Solve -y*f - 5 = q, -3*q - 17 + 2 = m*f for f.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1480 and 259.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 47*k*x**2 + 62*k*x - 7393*k - 3*x**2 + 2 wrt x?\nAnswer: 94*k*x + 62*k - 6*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*z - 36 = -3*b, 0*b + 12 = 3*b. Suppose z = 2*o + 6*o. What is the units digit of 2266\/66 - ((-2)\/(-6))\/o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2176 and 1037.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 11859?\nAnswer: 3, 59, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m = -w + 183 - 11, 3*w = m + 504. What is the units digit of w?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(a) be the first derivative of a**3 + 1. Suppose 100*v - 51*v = 77665. Let w(m) = v*m - 3198*m + 1585*m. Give f(w(x)).\nAnswer: 2352*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 66307 is divided by 71?\nAnswer: 64","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 + -3. Let x = -228 + 332. Suppose 101*p = x*p + 15. What is the fourth biggest value in p, d, -2, 4?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -17902574, -17902571, -17902568?\n\"Answer: 3*r - 17902577","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-61 + 39 - 28) + 12?\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -26.47 + -0.03. Let b = v - -26. Let g be (-6)\/(-9)*(-18)\/8. Put g, 1\/2, b in decreasing order.\nAnswer: 1\/2, b, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 579\/38 and 15 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u + 2*u - 5*h = 35, 2*u + 22 = -3*h for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 21 and -117\/89090.\nAnswer: 89090","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -135909 or -3125892\/23?\nAnswer: -3125892\/23","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1012303210 + 1203?\nAnswer: 1012311013","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 37 divide 4967?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Sort 7510, -1.45, 1 in descending order.\nAnswer: 7510, 1, -1.45","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let r(c) = c + 19. Give r(-22).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p - 10 = -4*p. Let z be (-6 - p) + 54\/(-15). What is the biggest value in 0, 1, z?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.016212527 times 4?\nAnswer: -0.064850108","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-177)\/(-18) + 2\/12. Let c(y) = w*y + 7*y**3 + 7*y**2 - 7*y**3 - 5 + 12*y**3. Let j be c(9). Round j to the nearest one thousand.\nAnswer: 9000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -5*x - 7. Let g(r) = r + 6746 - 3393 - 3350. Calculate u(g(d)).\nAnswer: -5*d - 22","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -43, -50, -55, -52, -35, 2, 65, 160?\n\"Answer: b**3 - 5*b**2 + b - 40","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l(k) = 2*k - 2*k - 3*k - 5*k. Let y(f) = -6*f. Let u(m) = -5*m. Let n(j) = 7*u(j) - 6*y(j). Determine n(l(t)).\nAnswer: -8*t","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 38\/(-3)*(-27)\/(-6). Let j = l + 105. Suppose -2*g + j = 8. Calculate the lowest common multiple of 12 and g.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence br when two letters picked without replacement from kbbrrbrkrrbr?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 4433746?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -60 + 67. Suppose -a*t - 25 = -11*t + 5*v, 2*t - 5 = -5*v. Solve t*n + 15 = -2*x - 4, 0 = 2*n - x + 4 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2267, 4534, 6803, 9074?\n\"Answer: g**2 + 2264*g + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.022012 and 35?\nAnswer: 0.77042","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (6\/(-8))\/((-168)\/(-64)).\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*a - 2*a - 2*q + 36, 3*a - 2*q - 13 = 0. Let t(r) = -26*r**2 - 6*r - 4. Let f be t(a). Round f to the nearest one hundred.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -13160513, -13160502, -13160487, -13160468?\n\"Answer: 2*z**2 + 5*z - 13160520","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-3 - -4) + (6 - 0) + (29 + -29 - -101)?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 54, 0, 1.\nAnswer: -2, 0, 1, 54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -20 = -7*s + 1 for s.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 3226765 and 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -13*r - 435. Let z be k(-31). Let q be ((-1)\/1)\/(4\/(-148)). Let v = q - z. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-45)\/(-9 - -4) - 2622\/304. Put 1\/4, -0.3, -1\/8, 2\/5, m in decreasing order.\nAnswer: 2\/5, m, 1\/4, -1\/8, -0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.59 - 0.652. Let z = o + -0.223. Let j = 0.015 - z. Put j, -6\/7, 5 in increasing order.\nAnswer: -6\/7, j, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 333, 353, 391, 447?\n\"Answer: 9*v**2 - 7*v + 331","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 + 6 = 2*j. Let g = -1 + 1. Suppose g*s = -s + 11. Solve s = j*r + 5 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(k) = 2*k**2 - 34*k + 49. Let h be b(12). Let o = h - -396. What are the prime factors of o?\nAnswer: 5, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0004213 rounded to 4 dps?\nAnswer: 0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -66 - -86. Let u(m) = -2*m**2 + 39*m + 21. Let y be u(d). Which is the nearest to y?  (a) -0.3  (b) -3  (c) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14 - -9) + (-4 - (-5 - 7))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-11160)\/1488*(-68)\/(-15).\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19 = 5*b - 104. What is the tens digit of b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many decades are there in 1\/10 of a century?\nAnswer: 1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round 264987295 to the nearest one million.\nAnswer: 265000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) be the second derivative of -m**3\/2 + 31*m**2\/2 - 7*m. Suppose 2*q - 4*q = 2*q. What are the prime factors of x(q)?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.02, -0.5, -315?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 90 + (21519\/(-615) - 55).\nAnswer: 2\/205","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -32*w**4 + 12*w**3 + 30*w + 12. Let b(o) = -13*o**4 + 5*o**3 + 12*o + 5. Let a(u) = -12*b(u) + 5*l(u). What is the second derivative of a(h) wrt h?\nAnswer: -48*h**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 123 + -109. Solve -2 + z*y - 49\/2*y**2 = 0 for y.\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*y**2 - 4*y**2 + y**2 + 0*y**2.\nAnswer: -6*y**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(-1\/5)\/(p**(-1\/6)\/p)*((p\/p**(-2\/7))\/p*p)\/(p*(p**7\/p)\/p) assuming p is positive.\nAnswer: p**(-787\/210)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -81 - -80.91. What is the nearest to -0.1 in w, 0.5, -16, 0.1?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*b**2*g**2 - 10*b**2*g + b*g + b - 255*g**2 - 307*g wrt g?\nAnswer: -8*b**2 - 510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 61 - 33. Let y(m) = -20*m + h*m + 2 - 2. Let b(i) = 5*i**2 - 9*i + 9. Let p(w) = w**2 - 2*w + 2. Let k(u) = -4*b(u) + 18*p(u). Determine k(y(l)).\nAnswer: -128*l**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*h + 25 = -0. Let f(l) = l + 1. Determine f(h).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 2*z + 7. Suppose -n + 6 = n. Suppose -15 = n*x - 8*x. Let s(p) = 5 + 5*p + 1 - x*p. Calculate 7*s(k) - 6*w(k).\nAnswer: 2*k","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*l**2 - 124*l + 1922.\nAnswer: 2*(l - 31)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:22 PM and 9:01 PM?\nAnswer: 279","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 148, 149, 152, 157, 164?\n\"Answer: g**2 - 2*g + 149","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1365352891.\nAnswer: 7, 97, 887, 2267","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) = 170*z**3 - 2*z**2 + z. Suppose 0 = -5*o - 5*b + 10, -5*b = -o - 4*o. Let f be i(o). Suppose -1 = -3*m - 7, -s + f = -5*m. Is s composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*t = 9*t - 3*n - 7624, -2*n = -t + 1529. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*(-3 + 3 + 3 + sqrt(125)*2 + (1 + sqrt(125))*4 + 0)**2*-5.\nAnswer: 4200*sqrt(5) + 45490","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: 12\/2*(-4)\/10*(-90)\/36\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 o and 1 v when four letters picked without replacement from vovoxovvvoxooovvvoo.\nAnswer: 56\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 26, -343, -956, -1813, -2914, -4259, -5848?\nAnswer: -7681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Total of -0.09 and 15148854.6.\nAnswer: 15148854.51","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 1316?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 17965 (base 11) to base 9.\nAnswer: 37408","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 188459.\nAnswer: 188459","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -16\/4725 and 53\/6075.\nAnswer: 42525","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 158904 and 1747944?\nAnswer: 1747944","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 19.5 + -20. What is the second biggest value in -0.2, -8\/5, b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pn when two letters picked without replacement from ppkknkppbpppbpkppppn.\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 581 minutes before 1:19 PM?\nAnswer: 3:38 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 672 a multiple of 21?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -22 + 106. Calculate the highest common divisor of 420 and s.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = -h + 4 - 4. Let c(m) be the second derivative of -5*m**4\/24 - 2*m**2 - 2*m. Let u(d) be the first derivative of c(d). Determine j(u(w)).\nAnswer: 5*w","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00023247 to six dps.\nAnswer: -0.000232","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -22 (base 7) in base 13?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-49)\/49*(-2)\/(-10)*2?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u + 5*r - 51 = 0, -681*r = 4*u - 678*r - 85. What is the remainder when 740 is divided by u?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) be the first derivative of y**6\/21 + 4*y**5\/5 + 69*y**4\/14 + 40*y**3\/3 + 100*y**2\/7 - 598. Factor v(f).\nAnswer: 2*f*(f + 2)**2*(f + 5)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*q - 1 = 4409. Calculate the greatest common divisor of q and 15.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(s) be the second derivative of -1\/6*s**3 - 2*s + 1\/2*s**2 + 1\/5*s**5 - 1\/12*s**4 + 0. Is 14 a factor of d(2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 18920 and 13588.\nAnswer: 1494680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 80 and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 r when two letters picked without replacement from ggmggrgmgggrrgg?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 170948517 and 4.\nAnswer: 683794068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express -2215 - 2226 + 6663 + 7*b**2 - 2222 in the form a*b**2 + g + v*b and give a.\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand -p**2 + 5*p**2 - 2*p - 2*p**2 + (0 - 3 + 1 + (-4 + 4 + 1)*(2 - 2 - 2) + 13 - 2 + 23 + 2 - 5 + 2)*(-4 - 3*p + 4)*(2 + 4*p - 2).\nAnswer: -346*p**2 - 2*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: (-4 - -2) + 9 + (-34 - -29) + -1\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 16*h - 160. Let z be v(11). Solve -5*i - z = -3*t + 4*t, 4 = i + 2*t for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -w + 3*h - 12 = 0, 0 = -w - h + 6*h - 22. What is the third derivative of 0*n**3 + 18*n**2 - 19*n**w + 3*n**2 wrt n?\nAnswer: -114","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1058, 4165, 9318, 16505, 25714, 36933, 50150, 65353?\nAnswer: 82530","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -40 + (2 - 78*(-7)\/(-84)*2)?\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express 7*l**2 + 22*l**3 - 89*l**3 + 4 + 91*l**3 - 5*l**2 as r*l + t + f*l**2 + v*l**3 and give f.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let s(i) = i**3 - 12*i**2 + 3*i - 30. What is s(12)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = m**2 + 15*m - 12. Let r be w(-16). Suppose -2*o + 5*o - 2 = -2*j, -4*j + 8 = r*o. Solve 10 - 2 = -j*f + 4*q, -5*f - 2*q - 24 = 0 for f.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -10 + 17. Suppose 3*q + q = 52. What is the remainder when q is divided by g?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q**2 + 0*q**2 - 3*q**2)*((-3 - 3 + 3)*(-1 + 3 - 3) + 1 - 5 + 2)*(-4*q - q + 7*q) - 9*q**3 + 5*q**3 - 7*q**3.\nAnswer: -15*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 777 - 1167 + 39*u**2 - 45*u**2 - 1302 - 101*u**3 wrt u?\nAnswer: -303*u**2 - 12*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -191.28292 rounded to the nearest ten?\nAnswer: -190","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (5 - 31) + 20 - (-9)\/1. Solve -3*l - 2 = 2*q + 12, -w*l + 2*q + 2 = 0 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 0 - 2\/10 - 516\/(-5). What are the prime factors of 1\/((7\/i)\/7)?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(w) be the first derivative of -w**9\/3024 - w**6\/72 - 2*w**3\/3 - 3. Let n(g) be the third derivative of a(g). What is the third derivative of n(i) wrt i?\nAnswer: -60*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 617510 and 1235020.\nAnswer: 1235020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4678, -4679, -4680?\nAnswer: -4681","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1028 - -1030. Let d(v) = 4 - 2 + 739*v**2 - 737*v**s - 2. Let o(z) = -10*z**2. Let b(k) = k**2. Let u(n) = -35*b(n) - 4*o(n). What is u(d(q))?\nAnswer: 20*q**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -232 by -2.\nAnswer: 116","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) be the first derivative of -5*a**4\/4 + 10*a**2 - 9. What is o in p(o) = 0?\nAnswer: -2, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 7662729 is divided by 3831161?\nAnswer: 407","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36*o - 1584 = -32*o + 24*o. Let q = -19 + 28. Calculate the remainder when o is divided by q.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 39\/320 and -79\/320.\nAnswer: 320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -44199.02 + 44872. Let m = 15.88 - v. Let k = 688 + m. What is k rounded to zero dps?\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*i + 0*i - 3*i**3)*(i - i + 4*i) + i**4 - 4*i**4 + 5*i**4.\nAnswer: -10*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 52*w - 1875. Determine m(36).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -15*z + 16*z = 0. Let o(w) be the third derivative of -w**2 - 1\/60*w**5 + z*w + 0*w**4 + 0 - 1\/6*w**3. Differentiate o(v) wrt v.\nAnswer: -2*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**3 - 17*q**2 + 16*q + 15. Let l be f(16). Which is smaller: l or 44\/3?\nAnswer: 44\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 8 divided by -17919106?\nAnswer: -4\/8959553","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-63*l - 63*l + 125*l - 3)*(-3 + 2 + 2).\nAnswer: -l - 3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -28*d**2 - 1369*d + 85. What is b(-49)?\nAnswer: -62","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4023574?\nAnswer: 2, 23, 3803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 162819632?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 17662960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d = 6*d - 32. Solve -4*g + 31 = -3*r - d*g, 5*r + g + 29 = 0 for r.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -422*t + 419*t = -10*u + 55, t + 2*u - 4 = -33 for t.\nAnswer: -25","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 828 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -i - 4*i + 20. Let t = 19368 - 19365. Solve t - i = j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*j = -8*j - 30. What are the prime factors of j?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 18\/288*1208\/12 and -67\/330.\nAnswer: 1320","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 290\/60 + 1\/6. Let o(r) = 2*r - 5. Determine o(z).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 187469 to the nearest integer?\nAnswer: 57","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express m + 22*m**2 - 9*m**2 + 7*m**2 + 2*m**3 + (6*m + 10*m - 3*m)*(3*m**2 - m**2 - 3*m**2) in the form y*m + s*m**3 + x + v*m**2 and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -32 + 19. Let p = 50 + h. What is the tens digit of p?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 156 = 9*c - 141. Suppose 16*i = c + 1071. Does 34 divide i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1284926879 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*s + q - 31 = 5*q, 3*q = -5*s + 13. Suppose -s*k + 4*k = -52. Calculate the remainder when k is divided by 18.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = 6*k**2 - 2*k - 2246. Let p(g) = -34*g**2 + 11*g + 11230. Calculate 2*p(m) + 11*r(m).\nAnswer: -2*m**2 - 2246","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 468 minutes before 8:31 AM?\nAnswer: 12:43 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 85\/((-2380)\/(-112)) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1878 by 5.\nAnswer: 1878\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1379 - 2*k - 1370 - 1377 + 4126.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 434528383?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 927 and ((3\/(-6))\/(-1))\/(77\/2772).\nAnswer: 1854","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 22 - 21.99999984. What is z rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 2 * -19.\nAnswer: -38","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -0.2, 10, -25\/9, 39.84?\nAnswer: -25\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + y - 257127 + 92189 = 0, -3*j + 98966 = -y. What are the prime factors of j?\nAnswer: 2, 3, 2749","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1422\/1775 - 2\/1775. Let z be (-8)\/20 - 63\/5. Which is the closest to 0?  (a) i  (b) z  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*a - 13*a + 621 = 0. Let x = 58 - a. Let u = x + 174. Solve j + u = 6*j for j.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20072946.\nAnswer: 2, 3, 3345491","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mj when two letters picked without replacement from jjmjbbjmj.\nAnswer: 5\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w(s) = 2*s**2 + 4*s + 3. Let f be w(-2). Let u be 1*-1*(-4)\/(-10). Which is the closest to u?  (a) f  (b) 6  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 8\/28*20\/80*-6?\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-10)\/(-4))\/5*8. Let b = -97 + 6. Let f = -82 - b. Solve -n + w = f for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*z + 1041 - 482 - 524 = 0 for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find m such that 6*m**5\/7 - 516*m**4\/7 + 1014*m**3\/7 - 72*m**2 = 0.\nAnswer: 0, 1, 84","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = 4*k - 3*n - 16, n + 7 = k. Suppose -k*o + 15 = -2*o. Let i be o\/(-10) - (-9)\/2. Solve 6 = i*t - r + 2*r, -12 = -t + 3*r for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*a + 4*a = 2*m - 24, 4*m + 5*a - 35 = 0. Suppose 4*s + t + 2*t = m, 5*t = -10. Let b(w) = -w + 2. Calculate b(s).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(z) = 2*z**3 - 17*z**2 - 4*z + 15. Give w(5).\nAnswer: -180","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-k + 2*k - 3*k)*(0*k**2 - k**2 + 5*k**2)*(-6*k + 4*k - 3*k).\nAnswer: 40*k**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1120 divided by 140.\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 1301c (base 13) in base 9?\nAnswer: 53225","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h - 7. Let m be p(-11). Let f be 9\/m - (-2)\/(-8). Suppose 5*i = f*s - 4, -5*s - 5*i + 51 = 6. What is the greatest common divisor of 1 and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-2\/3)*j)\/j*j\/j**(-1\/11)*(j\/j**(-2\/13))\/(j\/j**18) assuming j is positive.\nAnswer: j**(7970\/429)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 111*j - 110*j - 6 = 0 for j.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 207?  (a) -2\/17  (b) 0  (c) 15  (d) -4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence at when two letters picked without replacement from uxttuaxm.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.4 take away 1145546051341?\nAnswer: -1145546051340.6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -10439, -42816, -96777, -172322, -269451, -388164, -528461?\n\"Answer: -10792*f**2 - f + 354","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -442, -1\/3, -0.5, -1\/8, -1\/11 in descending order.\nAnswer: -1\/11, -1\/8, -1\/3, -0.5, -442","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*((sqrt(228) - (sqrt(228) - (sqrt(228) + 2*sqrt(228) - sqrt(228)) - sqrt(228)))*-4 + -5*sqrt(228)*-1))\/(-5*sqrt(1452)*-2*-1).\nAnswer: 14*sqrt(19)\/55","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 869*o = 5*x + 864*o + 10, -x = 3*o + 6 for x.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = 365*q - 5445. Let n be h(15). Solve -5*p - 40 = 3*y, -6*p + n = -7*p - 5*y for p.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -86, -118, -150, -182, -214, -246?\n\"Answer: -32*y - 54","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine t, given that 5*t**4 - 106070*t**3 + 530115*t**2 + 2332910*t + 1696720 = 0.\nAnswer: -2, -1, 8, 21209","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*j = 11*q - 13*q + 22, 4*q = -2*j + 18 for j.\nAnswer: 13","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*b**3 + 0*b**3 - 1137*b + 609*b.\nAnswer: -2*b**3 - 528*b","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*d + 1 + 7 = 0. Let m(b) = -3*b - 3. Let u be m(d). Let a be ((-12)\/4)\/(u\/(-60)). Solve 0*p - 36 = -5*p - 4*h, -a = -5*h for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*y = 38 + 6. Suppose -3*p = -4*q + y, 10 = 2*q + 3*q - 3*p. Let x(t) = -14*t**2 - t. Calculate x(q).\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 1 + 0 + 0 + 3. Suppose 5*o - 35 = -b - i*b, 3*o - 15 = 3*b. Suppose 125 = o*s - s. Solve -2*w - 3*w = s for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-2 + 5)*(-3 - -2). Let h be 6\/10 + f\/3. Which is the closest to 2?  (a) h  (b) 5  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 917344.\nAnswer: 2, 109, 263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*c**4 - 3252*c**3 + 86197*c**2 + 3157890*c + 1863000 = 0. What is c?\nAnswer: -20, -3\/5, 50, 621","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y + 4*y + 5*t - 35 = 0, -t + 43 = 4*y. Suppose 5*h - y - 8 = 0. List the prime factors of -46*((h - 2) + -3)\/1.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 126 + -125.9. What is the closest to -0.1 in 0, f, 1\/7?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 25 + -31. Let i(k) = -k**3 - 6*k**2 + 2*k - 2. Let p be i(d). Calculate the common denominator of 39\/4 and (-1446)\/(-252) + 8\/p.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 544 + -1119. Let y = 574.9965 + g. Round y to 3 dps.\nAnswer: -0.004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-190*u**2 + 144 + 22*u**2 - 138)*(-1 - 1 + 1)*(-u**2 + 3*u**2 + u**2).\nAnswer: 504*u**4 - 18*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 254183000 rounded to the nearest 1000000?\nAnswer: 254000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -4*x**2 + 2*x**3 - 3*x**3 - 2*x + 5 - 3 - 4. Let j = 46 - 29. What is the remainder when j is divided by b(-4)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w**14\/(w**(-18)\/w))\/(w\/(w**(-6)*w))**47 assuming w is positive.\nAnswer: w**(-249)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 108701 and -0.15.\nAnswer: -16305.15","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 s and 2 w when three letters picked without replacement from sssswswsssws.\nAnswer: 27\/220","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.35 - 10.35. Let d = -1.5 + 1.2. Let s = 47 + -51. What is the second biggest value in s, a, d?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 19 minutes after 10:35 AM?\nAnswer: 10:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3927 - 3062. What is the highest common divisor of 5 and d?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -2, -8, -24, -50, -86, -132, -188?\nAnswer: -254","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -25591479*k**3 + 3*k**2 - 5109065*k wrt k.\nAnswer: -153548874*k + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: -1 (base 5) to base 16\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(w) = 27*w. Let j be m(1). Let i be (-6)\/j - 2\/(-9). Suppose i*a + 106 = 2*a. Is a a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 208\/13 + 7\/2*-2.\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3*s**2 - s**2 - 23 + 100.\nAnswer: 2*s**2 + 77","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) be the third derivative of 1\/15*n**5 + 0 + 1\/8*n**4 - 1\/2*n**3 - 1\/120*n**6 + 0*n + 6*n**2. Is 17 a factor of w(-3)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = 10*q**2. Let j(h) = 2*h. Let r(v) = 4*v. Let n(i) = 9*j(i) - 4*r(i). Give n(t(c)).\nAnswer: 20*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 476 + -1071. Let t = n + 1801\/3. Factor -686\/3*b**5 - 136\/3*b - t + 322\/3*b**3 + 784\/3*b**4 - 268\/3*b**2.\nAnswer: -2*(b - 1)**2*(7*b + 2)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 69320, 69315, 69310, 69305, 69300?\n\"Answer: -5*l + 69325","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*o**2 + 0*o**2 + 0*o**2 - 6 - 5*o**2 + 6 + (-2 + 2 - o**2)*(-2 - 5 - 4).\nAnswer: 9*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that 6 - 26\/3*k**2 + 8\/3*k**4 - 10\/3*k**3 + 10\/3*k = 0.\nAnswer: -1, 1, 9\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 97967687 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 67 divided by 4\nAnswer: 67\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-2000)\/1250 + 123\/30. Let m(w) be the second derivative of 0 - 1\/3*w**3 - 14*w - 1\/2*w**4 + y*w**2 - 1\/20*w**5. Determine m(-5).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, o: 3}. What is prob of sequence oc?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -197871 divided by 1.\nAnswer: -197871","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f - 157 = 65. Suppose 3*p = 4*v + f - 5, -4*v = -4*p + 36. Suppose 409 = 4*i + 5*q, p*i + 0*i = 2*q + 374. Is i a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Do 0 and 1474\/6019 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1242598702*v**4 + 5*v**2 + 8240636 wrt v.\nAnswer: -29822368848*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(a) = a**2 - 5*a. Let o be d(5). Suppose -3*r + 3 + o = 0. Let x be (-7 + (-116)\/8)\/(r\/(-2)). What is the highest common divisor of 43 and x?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 9*v**2 - 2*v**4 - 9*v**2 + (-2*v**2 + v - v)*(-3*v**2 + 0*v**2 + 2*v**2)*(-1 - 1 + 1).\nAnswer: -4*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1118?\nAnswer: 2, 13, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) 0.4  (b) -1\/103  (c) -3  (d) -1\/8  (e) 2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w(q) be the second derivative of -q**5\/20 - 3*q**4\/4 - q**3 + 8*q**2 + 14*q + 6. Factor w(t).\nAnswer: -(t - 1)*(t + 2)*(t + 8)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 25187 and 1415?\nAnswer: 283","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -5  (b) -3  (c) -9  (d) 43  (e) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) = x. Let j be m(4). Suppose -106 = -5*l + 3*l + 2*s, 2*s - 230 = -j*l. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 2196?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 20736.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-27)\/(-12) + (-3)\/12. Let h be (-8 + 2 - -1) + n. Let u(k) = -311*k**2 - 1. Let z be u(h). Round z to the nearest 1000.\nAnswer: -3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001797190539 rounded to six dps?\nAnswer: -0.000018","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/(-3) + (-16)\/(-3). Suppose 2*s + 2*x = 8, -3 + 33 = f*s - 5*x. Is s a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of -93, -103, -121, -147, -181, -223?\n\"Answer: -4*t**2 + 2*t - 91","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -1045, 3, 292 in ascending order.\nAnswer: -1045, -9, 3, 292","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 74038?\nAnswer: 2, 37019","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**3\/5 - 138*n**2\/5 + 28*n.\nAnswer: -2*n*(n - 1)*(n + 70)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c(o) = o**3 - 9*o**2 + o + 3. Let l be c(9). Let g = 458 - 326. Calculate the greatest common divisor of l and g.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-5 - 171\/(-38))\/(34\/8).\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 2*d**3 - 4692*d**2 - 94440*d - 473200 = 0.\nAnswer: -10, 2366","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 137 - 551\/4. Let f = 4.75 + 0.25. What is the nearest to 0 in 1\/3, u, f?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(d) = -d**2 + 14*d - 11. Let g be l(13). Suppose -10320*v - 6 = -10314*v. Put v, 3, g, 5 in descending order.\nAnswer: 5, 3, g, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 210\/(-98)*(-40)\/300*35?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 + n)*(2 + 8 + 2)*(43 - 3 + 7).\nAnswer: 564*n","meta":{"dup_signals":{},"source":"polynomials__expand_test"},"subset":"dm_maths"}
{"text":"Question: Let y(b) = b**2 + 16*b - 28. Let a(z) = 16*z + 125. Let m be a(-9). Calculate y(m).\nAnswer: 29","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 212 - 207. Suppose 0 = w - h*n + 3167 - 43687, -2*n - 8 = 0. What is w rounded to the nearest ten thousand?\nAnswer: 40000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 326*n**4*r + 656*n**4 + n**3*r + 38*n**3 + 6*n**2*r + 1439737*n**2 + 6*n wrt n.\nAnswer: 7824*n*r + 15744*n + 6*r + 228","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 0 - 6 - (-2716 - -2728)\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 76550 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor -y**2\/3 + 71052*y.\nAnswer: -y*(y - 213156)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = -c. Let w(f) = -2*f - 82. Calculate -4*i(d) + w(d).\nAnswer: 2*d - 82","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2 in 1, -2, 8, 24, 44?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = 5*z - 48. Let g be f(10). Let u = 1 - 6. Let p = 1 + 0. Which is the nearest to 2\/3?  (a) g  (b) p  (c) u\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -822, -1253, -1702, -2175, -2678, -3217, -3798, -4427?\nAnswer: -5110","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*w + 3*w - 3*w)*(-150 + 76 + 71) as u*w + q and give u.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 4397.781 - 4400. Let w = 2.3 + y. Round w to two dps.\nAnswer: 0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = r + b, 2*b + 1 = 4*r + r for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -y**3 - 5*y**2 + y + 2. Let i be w(-5). Let t be ((-2178)\/27)\/(((-6)\/i)\/(-6)). Calculate the greatest common factor of t and 22.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + (-2 - -3) + -8 + 11 + -21.\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9933376.\nAnswer: 2, 155209","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*y + 4*s - 23 = 3*s, 5*s + 15 = y for y.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -25*z + 10. Let h be n(4). What is the common denominator of (-211)\/468 + 20\/h and -13\/4?\nAnswer: 52","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 41 + -30?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence mw when two letters picked without replacement from wmw.\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18383 - 18038.44. Round m to 0 dps.\nAnswer: 345","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 48029?\nAnswer: 48029","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -71 times 24414\nAnswer: -1733394","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 19.99568mm in centimeters?\nAnswer: 1.999568","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 38\/1239 and -30\/4543.\nAnswer: 13629","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -30058*b - 29394 = -14693*b - 14939*b for b.\nAnswer: -69","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7852788 to the power of 1\/2, to the nearest integer?\nAnswer: 2802","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - l + 3*l + 14 = 0, -3*n - 3*l + 15 = 0. What is the tens digit of (-36)\/14*(-28)\/n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -17\/24 and (-9254)\/(-924) + 2\/(-11).\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -6149, -12305, -18457, -24605, -30749, -36889?\n\"Answer: 2*f**2 - 6162*f + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-10)\/(-20))\/((-67)\/34 - -2). Suppose -21*i + g*i + 1176 = 0. Suppose -14*y = -13*y - i. What is the units digit of y?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1666\/3465 + 74\/(-2035). Which is the closest to 0?  (a) 0  (b) l  (c) -4  (d) 7\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-391 - -276) + (-4 - 5) + (12 - 13)?\nAnswer: -125","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 37 a factor of 2960?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f\/(f\/(f\/f**(1\/5))*f)*f*(f*(f**13*f)\/f)\/f)\/((f*f**(-5))\/(f*f**20)) assuming f is positive.\nAnswer: f**(194\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 18448896, 36897792, 55346688, 73795584, 92244480, 110693376?\nAnswer: 129142272","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 12 = 2*r, -18 = -0*m + 2*m - 2*r. Which is the smallest value?  (a) 0  (b) m  (c) 4\/7  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) be the second derivative of v**5\/20 - v**4\/12 + 5*v**3\/6 - 2*v**2 - 6*v. Let w be s(2). Suppose -3*a - 28 = -w*a. What is the units digit of a?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22972 smaller than 22970?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = b - 1. Calculate the remainder when 66 is divided by j(15).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = 16*f. Let y(k) = -152*k + k**2 + 78*k + 74*k. What is c(y(j))?\nAnswer: 16*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -2*s - 12, -t + 1 = s + 2. What is the lowest common multiple of 8 and 2\/(-1) + 47 + (1 - t)?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 171963683 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/3 + 182\/42. Suppose 0 = 2*k + 2*s, k = -2*s + 3*s + o. Solve -4*p = -3*m - 26, -6*p = k*m - 2*p - 16 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: -13 - (-33 + (-4 - 1) + 5 + 13)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/((b**(2\/9)\/b)\/b))**(1\/39) assuming b is positive.\nAnswer: b**(25\/351)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 555136 a multiple of 64?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = -12*s**3 + 6*s**2 - 4*s. Let k(b) = -11*b**3 + 5*b**2 - 3*b. Give 4*k(n) - 3*r(n).\nAnswer: -8*n**3 + 2*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = 5*c + 1. Let p be b(9). Let i = -44 + p. Find the third derivative of -21*n**6 + 6*n**6 + 0*n**i - 8*n**2 + 2*n**2 wrt n.\nAnswer: -1800*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14*l + 63 = 7*l for l.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -200*x - 100*x - 2172*x + 19776 for x.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*r + 19*r - 228. Let v = 25 - 43. Let k be (-6 - 0)\/1*v. Calculate the highest common factor of r and k.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are 104393885 and -0.04 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 6190\/(-2476)*((-1540)\/50 - -2*(-3 + 2))?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n = -2*b + n - 4, 5*b - n = 16. Suppose p + 5*k - 85 = -b*p, 4*k = 4. Let r = 12 + 4. Calculate the smallest common multiple of p and r.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence vt when two letters picked without replacement from {v: 3, t: 3}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {l: 1, c: 1, p: 1, n: 1, z: 1}. Give prob of picking 1 l, 1 c, 1 z, and 1 p.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 30273, 121119, 272523, 484479, 756981, 1090023, 1483599?\n\"Answer: -c**3 + 30285*c**2 - 2*c - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0 - 1. Let u = -0.14 - 0.06. Which is greater: w or u?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-443 - -445) + 2\/5 + 81\/(-15). Let j be ((2 - 1) + -1)\/1. Put u, -5, j in increasing order.\nAnswer: -5, u, j","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-4)\/(-10) - (-4)\/(-35). Let s = -2124.1 + 2126.1. What is the nearest to s in 1.1, w, 0.1?\nAnswer: 1.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 2*y**4\/11 + 914*y**3 + 567444*y**2\/11 + 4294080*y\/11 = 0.\nAnswer: -4970, -48, -9, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -76 + 78. Suppose 2*w - 8 = k. Let d = -98 + 97.6. What is the nearest to 3 in 2, d, w?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = 34*u + 6. Let i = 21 - 41. Let x = i - -22. What are the prime factors of m(x)?\nAnswer: 2, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d such that 115*d**5 + 458*d**4 - 123*d**3 - 458*d**2 + 8*d = 0.\nAnswer: -4, -1, 0, 2\/115, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 121 - -1 - (-1001 - -1013)?\nAnswer: 110","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(k) = -22*k**4 + 2*k**3 + 88*k**2 + 4. Let y(t) = -4*t**4 + t**3 + t**2 + 1. Let l(p) = r(p) - 4*y(p). Find the third derivative of l(a) wrt a.\nAnswer: -144*a - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*f + 5*f + 1 + f.\nAnswer: 3*f + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -43777396, -43777397, -43777398, -43777399?\n\"Answer: -p - 43777395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) be the third derivative of -g**7\/210 + 85*g**6\/24 - 731*g**3\/6 - 91*g**2 - g. Differentiate u(f) wrt f.\nAnswer: -4*f**3 + 1275*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 644, 641, 638, 635, 632, 629?\n\"Answer: -3*u + 647","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = 6*w. Let o be h(7). Suppose -2*r - r = -o. Is r composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -1. Let p(u) = -4*u - 11. Let j(q) = p(q) - 6*v(q). Let l(s) = 0*s + 4*s + 1 - 3*s. What is -4*j(y) - 18*l(y)?\nAnswer: -2*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -99*l - 1929 = -3739 + 2008 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**2 - n + 7. Let l be c(0). Let z = 10 - l. Factor -1\/4*a + 0 - 1\/2*a**2 - 1\/4*a**z.\nAnswer: -a*(a + 1)**2\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*j + 2*j + 3*j + (3774 - 1437 + 1677)*(-2*j - 3 + 3).\nAnswer: -8027*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 35 - 42. Let l(k) = -k**2 - 7*k + 5. Calculate l(v).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 178390?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -59 - (-7 - -2) - (-12 + (-1 - (7 + -17))).\nAnswer: -51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 141866 and 1246.\nAnswer: 178","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((o**(1\/16)*o)\/((o*o\/(o**(-21)*o))\/o*o))**(-1\/17))**(-2\/9) assuming o is positive.\nAnswer: o**(-335\/1224)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let i(p) = 13*p**2 + 3617*p. Let m(b) = 4*b**2. What is i(m(w))?\nAnswer: 208*w**4 + 14468*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -351238 divided by -1\nAnswer: 351238","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2*(-2)\/4 + 28. Let b = l + -17. Is 10 a factor of b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 8*n**2 + 3*n + 9. Let f(v) = 20*v**2 + 8*v + 26. Let a(u) = -3*f(u) + 8*q(u). Let m(s) = -s**2 - 2*s + 3. Let l be m(-4). Is a(l) a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 9*(-740)\/(-1080)*61\/((-610)\/60)?\nAnswer: -37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 616 minutes after 3:18 PM?\nAnswer: 1:34 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/(w*w*w**21)*w*w\/(w\/(w*w\/(w*w**(-1\/4)))))**(-45) assuming w is positive.\nAnswer: w**(3555\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -5*v + 14. Let k be (-1)\/(1 - 0) - 1. Let r = k + v. What is the greatest common factor of 36 and r?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3241.\nAnswer: 7, 463","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -137\/32354340 and -104\/165.\nAnswer: 355897740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*j - 36 + 21 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o + 4*i - 23 = 0, 24 = -4*o + 8*i - 4*i for o.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -38, -140, -310, -548, -854?\nAnswer: -1228","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-2)\/(-7))\/(1020\/168 - 6). Solve -4*r - l + 3*l = -4, -4*r + s*l + 8 = 0 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -5*i - 2*i**2 - 2 - 2*i**3 + 12*i - 7*i. Let w be j(-2). Let n be (12\/w)\/(4\/18). Calculate the highest common factor of 18 and n.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be ((-12)\/9)\/(-2) + (-17192)\/12. Let r = 2269 + k. What is the tens digit of r?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(d) = 59*d**3 + d - 1. Let k be q(1). Suppose c - k = 84. Does 13 divide c?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -83.1 + 79. Let o = t + 4. Let r = o - -0.2. Which is the closest to r?  (a) 0  (b) -2\/9  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -520675000 rounded to the nearest 1000000?\nAnswer: -521000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -2101 (base 3) in base 13?\nAnswer: -4c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 11677 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 12084334973 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 46873320 a multiple of 39?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + sqrt(8) + ((1 + sqrt(8))*6 - sqrt(8)) + -2 + 0 + (0 + sqrt(128))*3)**2.\nAnswer: 648*sqrt(2) + 2673","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_test"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = -l**2 + 16*l + 19. Let t be b(14). Let c = 69 - t. Let m be c\/4*(-36)\/(-9). Calculate the greatest common factor of 2 and m.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*t - 29 = -4*f + 5*t, -3*f + 5*t + 28 = 0. Let q(y) = 127*y**3 - 9*y**2 + 9*y - 1. Calculate the least common multiple of 21 and q(f).\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*a + 92660 + 1411960 = 32*a. What is a rounded to the nearest 1000?\nAnswer: 39000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 30353513?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**(2\/23))**33)**(2\/5) assuming r is positive.\nAnswer: r**(132\/115)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {m: 3, a: 3, h: 1}. What is prob of sequence aaa?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 324\/30*((-1)\/1 + 76).\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(b) = -2*b**3 - 13*b**2 + 14*b + 62. Determine m(-7).\nAnswer: 13","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (20 - -2)*9\/6. Let s be -2*1 + y + -15. Let v be (-3)\/(-2)*s\/(-3). Which is the smallest value?  (a) 2\/5  (b) 2\/3  (c) v\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 51774 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -11*d*s*z**3 + 3*d*z**3 + 15*s*z**3 + 2*s*z**2 - 2*s wrt d?\nAnswer: -11*s*z**3 + 3*z**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w(o) be the second derivative of -1402*o**3 - 91*o**2\/2 + o + 18. Is w(-1) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (12\/15)\/((-70)\/(-2975))*1\/2\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 6 + 2 + (-1 + 3 - 1)*(-3 + 0 + 1) + 1 - 3 + 1)*(n**5 - 3*n**3 + 3*n**3).\nAnswer: -8*n**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z + 5*q = 10, -2*z - 3*q + 5*q - 4 = 0. Suppose z = 20*s - 196 - 1104. Is 5 a factor of s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:44 AM and 12:29 PM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 110 minutes before 9:44 PM?\nAnswer: 7:54 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 31 - 28. Suppose 5*y = 2 + g. Are y and -3\/11 nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(o) = o - 14. Let m = 23 - -1. Suppose -6 - m = -5*q. Suppose 0*b = -q*b. Give r(b).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kkk when three letters picked without replacement from {k: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 28 - 30. Which is the nearest to -2?  (a) q  (b) 1  (c) 1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 226.99202 rounded to one dp?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__round_number_test"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -158, -1351, -4584, -10877, -21250, -36723, -58316, -87049?\nAnswer: -123942","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3314*0.0765.\nAnswer: -253.521","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -356 = -2*j - 0*j. Is j composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -j**4 + j**3 - j**2. Let p(s) = 28*s**5 + 136*s**4 + 180*s**3 + 52*s**2 - 32*s. Let i(q) = -4*o(q) - p(q). Suppose i(w) = 0. Calculate w.\nAnswer: -2, -1, 0, 2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.056 times 7?\nAnswer: 0.392","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:41 PM and 9:14 AM?\nAnswer: 573","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (522 - 522 - c)*(-6 + 6 - 12) to j + r*c and give r.\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 335643 is divided by 768.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -208 + 401. Suppose -5*i + 184 = 3*m, 3*m - g = -10*i + 14*i. Is 27 a factor of 14*(824\/m + (-2)\/9)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: -5 divided by -758\nAnswer: 5\/758","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 t and 2 x when three letters picked without replacement from xxxrwxxwwtxr.\nAnswer: 3\/44","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(q) = 223*q**2. Let w be m(1). Let k = 316 - w. Is k a multiple of 31?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -2, 5, 21910 in ascending order.\nAnswer: -2, 1, 5, 21910","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v*v**(-21)\/v)\/v*v**(1\/7) assuming v is positive.\nAnswer: v**(-153\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -17 or 441.5?\nAnswer: -17","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.11  (b) 9  (c) -2\/17  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 623.\nAnswer: 5\/623","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 0.009, -5, 3?\nAnswer: 0.009","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 813065263 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 64203701 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j(t) = 5*t**2 - 7*t + 6. Let f be j(5). Let x = f - 35. Suppose z - x = -3*z + 5*l, z + 2*l = -1. Is 3 a factor of z?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -8*a**2 - 376*a + 23907. Give b(36).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence nbo when three letters picked without replacement from nbvqnooq.\nAnswer: 1\/84","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 3797476, 3797484, 3797496, 3797512?\n\"Answer: 2*y**2 + 2*y + 3797472","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1091758859 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 11369 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -16, -86, -212, -400, -656, -986, -1396, -1892?\nAnswer: -2480","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-6 + 2 + 3)*(-3 + 1 - 2)*(0*s - 2*s + s) to g + y*s and give y.\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((t*t\/t**(5\/6)*t)\/(t*t*t**1\/t))\/(t**(4\/17)\/t)**36 assuming t is positive.\nAnswer: t**(2825\/102)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 5*t**2 - t + 6. Let a be (-4 - 0) + 4\/((-20)\/(-5)). Let h be r(a). Suppose -f - 5*f = -h. Calculate the highest common factor of f and 6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1099900 rounded to the nearest one million?\nAnswer: -1000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 26870 and 3178?\nAnswer: 42696430","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o + g + 170 = 0, -2*o - 2*g = 2*o - 340. Is 22 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*p + 706 = -3*p - 4*b, 1205 = 5*p - b. What are the prime factors of p?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -381 at least as big as -376?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 518?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -8 divided by -1\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -95 divided by 19?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((k**(-11)*k)\/(k\/(k*(k*k**(-7))\/k)))**(-28) assuming k is positive.\nAnswer: k**476","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 56498907?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.35346 and -2.4.\nAnswer: -0.848304","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 6.297059 milligrams in micrograms?\nAnswer: 6297.059","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let i(z) be the third derivative of -10\/3*z**3 - 1\/120*z**6 + 0 + 0*z + 1\/24*z**4 - 3\/20*z**5 + 9*z**2. Find the second derivative of i(s) wrt s.\nAnswer: -6*s - 18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) be the first derivative of r**4\/2 + r**3\/3 - r**2\/2 - r - 1. Let l be v(-1). Let x(n) = -11*n. What is the tens digit of x(l)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(sqrt(13) + (sqrt(468))**2) + sqrt(130)\/sqrt(250) + -5.\nAnswer: 16*sqrt(13)\/5 + 1399","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 41181?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 30491464?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 281 a factor of 2476734?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/24359 and -1\/69.\nAnswer: 1680771","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(w) = -2*w - 19. Let k be p(-11). Let q(i) = k*i - 4*i + 1 + 2 + 5*i**2 - 4. Determine q(2).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -6*z**2 + 10*z**2 + 1 - z - 4*z**3 - z**4 - 6*z**2 + 0*z**3 to q*z + c + h*z**2 + x*z**4 + s*z**3 and give x.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -30 - -7 - (228 + -262)\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.497512 to three dps.\nAnswer: 0.498","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v + 11 = 185*h - 183*h, -3*h + 3*v + 9 = 0. Solve -h + 8\/3*n - 2\/9*n**2 = 0.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/20 of a kilometer in centimeters?\nAnswer: 5000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -320.828 + -0.172. Let p = 319 + t. Which is the smallest value?  (a) 1  (b) 0.1  (c) p  (d) 3\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -18 - 10. Let o = -22 - c. Suppose -6 - o = 4*l. Let a(k) = -k**2 - 5*k - 2. Calculate a(l).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*g - 173*q + 46 = -171*q, -3*q = 200*g - 1621 for g.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 4565 and 245465.\nAnswer: 55","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h(c) = 4*c + 212*c**2 - 25*c - 39 - 213*c**2. Give h(-19).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**2 - 7*z + 15. Calculate s(-8).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Total of 38006 and -2.\nAnswer: 38004","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**2\/7 - 18208836*q\/7 - 36417656\/7.\nAnswer: -4*(q + 2)*(q + 4552207)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 248*((-161)\/(-28) - 5 - 0). What is the highest common divisor of b and 66?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 15718 is divided by 60.\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 4554, 6719, 10314, 15339, 21794, 29679?\nAnswer: 38994","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 3\/(-3) + (4 - -1). Let f = -5 - -8. Find the third derivative of 3*i**v + i**2 + 8*i**3 - 8*i**f wrt i.\nAnswer: 72*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 w and 1 o when two letters picked without replacement from {k: 3, w: 1, o: 1}.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 968 = -113*w - 8*w for w.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*f = -2*y, -13 = -3*y + 2*y + 4*f. Suppose 0*v - v = y*p - 12, v + 2*p - 6 = 0. Suppose -3 = -z - v. What is the units digit of z?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 78169773?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 5780759 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 2*(1 - 2) - -4. Suppose -j*k = -k - 12. What is the tens digit of k?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 672 and 232008?\nAnswer: 928032","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = x - 4*s - 82, -79 = -x + 3*s - 0*s. What is the remainder when x is divided by 40?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -76\/675 and 97\/90?\nAnswer: 1350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a kilometer in meters?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:57 PM and 5:34 AM?\nAnswer: 457","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 177977 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -107776190.8758 + 16\nAnswer: -107776174.8758","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*d - 5*d + 70. Let r be 4\/d - (-2)\/(-56). Suppose z - 11 = 4*t, -3*z = 6*t - t + 35. Which is smaller: t or r?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0750173 times 47?\nAnswer: -3.5258131","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -191.4231168 less than 44695?\nAnswer: 44886.4231168","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express 8*n**3 + 2*n**2 + 210 + 4*n**2 - 208 as d + g*n + f*n**3 + p*n**2 and give f.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*j = 5*j + 4. What are the prime factors of j*(1 + (-10)\/(-4))?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 103280 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Determine h so that -h**4\/5 - 16*h**3\/5 + h**2\/5 + 16*h\/5 = 0.\nAnswer: -16, -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/9 in 1\/65, 3.5, -6\/7, -0.2?\nAnswer: 1\/65","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 a and 1 l when three letters picked without replacement from {l: 5, a: 11}.\nAnswer: 55\/112","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.02 - -0.72. What is the nearest to 1 in -0.1, s, 5?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -43 + 43. Find r such that -2\/3*r**3 - 1\/3*r - r**2 + l = 0.\nAnswer: -1, -1\/2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 5, i: 5}. Give prob of sequence oo.\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) be the third derivative of -c**7\/70 - 27*c**6\/5 - 5723*c**5\/10 + 2943*c**4 - 11881*c**3\/2 + 49*c**2 + 4*c. Factor i(o).\nAnswer: -3*(o - 1)**2*(o + 109)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*i - 3061 + 820. Calculate the remainder when i is divided by 124.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 2*x - 1 - 13.\nAnswer: -2*x - 12","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 4617 and 342?\nAnswer: 9234","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = 14*m**2. Let c be k(-1). Suppose -c = -4*l + 54. Suppose -70*i + 67*i - 103 = -5*u, 0 = 2*u + i - 28. Calculate the highest common factor of l and u.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1918000 to the nearest one million.\nAnswer: -2000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**3 - 7*d**2 - 9*d + 9. Let s be t(8). Suppose 0 + 6 = 2*w. Suppose -s = -x + w. Solve -r - 3*f + 2 = x*r, -5*f + 28 = -4*r for r.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -12.1 + -2.9. Let j = -27 - v. Let a = 11.8 + j. What is the biggest value in a, -4, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 51, 16, -59, -198, -425, -764, -1239?\n\"Answer: -4*g**3 + 4*g**2 - 19*g + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 20086968071 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -466478, -466480, -466482, -466484?\n\"Answer: -2*r - 466476","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 4 + -1672c?\nAnswer: -16728","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = d**2 + 3. Let s(c) = -2*c - 28. Determine 5*i(j) + s(j).\nAnswer: 5*j**2 - 2*j - 13","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 151319.3l in millilitres?\nAnswer: 151319300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -164, -203, -270, -365, -488, -639?\nAnswer: -818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6126146, 6126141, 6126132, 6126119, 6126102, 6126081, 6126056?\nAnswer: 6126027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 57*f**2 - 76 + 10 + 33 + 33 - 67*f**2.\nAnswer: -10*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -642 - -642. Which is the nearest to 0?  (a) -5  (b) 1\/6  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 0.2015 + 0.0285. Put c, -2, -5, 3\/4 in descending order.\nAnswer: 3\/4, c, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -410*c**4 + 194 + 4*c**2 + 411*c**4 + 4*c**3 - 4*c**3 with respect to c.\nAnswer: 4*c**3 + 8*c","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 + 2*w)*(0*w - 8*w + 0*w)*(6*w - 14*w - 7*w) to b + h*w**3 + v*w + r*w**2 and give h.\nAnswer: 240","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of (3 - (-56)\/(-21)) + (-3436)\/(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3771 is divided by 801.\nAnswer: 567","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ohagooaooa. Give prob of picking 1 h, 1 a, and 2 o.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from dddddddfdddddddffd. What is prob of picking 2 d?\nAnswer: 35\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 - 37123601?\nAnswer: -37123574","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -35*l**2 - 9*l + 48*l**2 - 35*l**2 to b*l**2 + r*l + p and give r.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.010246423 rounded to five decimal places?\nAnswer: 0.01025","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 8 and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33231*r + 1209 = -33262*r for r.\nAnswer: -39","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1210 + -1226 + 10 + -1 + -1.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 78 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 - 1056a19?\nAnswer: -1056a14","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -11\/8 and -61\/221300.\nAnswer: 442600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the second derivative of -y**4\/6 + y**3\/6 - 3*y**2\/2 - y. Let d be 5*(0 - (-2 - (1 + -4))). Let b(z) = 4*z**2 - 2*z + 7. Give d*s(m) - 2*b(m).\nAnswer: 2*m**2 - m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 122, 839, 2162, 4097, 6650, 9827, 13634?\nAnswer: 18077","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) be the third derivative of a**7\/210 + 803*a**5\/30 - 2020*a**3\/3 + 2*a**2 - 92*a - 3. What is the first derivative of b(d) wrt d?\nAnswer: 4*d**3 + 3212*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b = -4*q + 734, 3*b - 1000 = -4*q - 258. Calculate the remainder when q is divided by 23.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 5, v: 9}. What is prob of sequence vvee?\nAnswer: 60\/1001","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 128003 and 1.\nAnswer: 128003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Determine p so that 34*p**3\/7 + 27774*p**2\/7 - 3268*p\/7 = 0.\nAnswer: -817, 0, 2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*i - i + 2*i)*(-2*i**2 + 4*i**2 - i**2)*(-31*i + 35*i - 6 + 0).\nAnswer: -8*i**4 + 12*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -5  (b) 0.1  (c) 46  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -o**2*p**2*q**2 + 4*o**2*p**2*q - 85*o**2*p*q + 7196*o*p**2*q**2 - p**2 wrt q?\nAnswer: -2*o**2*p**2 + 14392*o*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 5\/3*(-6)\/2. Let d = 1 + y. Let c(r) = r. Let p(q) = -1. Let z(w) = -2*w - 5. Let l(f) = 6*p(f) - z(f). Determine d*c(x) + l(x).\nAnswer: -2*x - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let s(o) = -o + 1. Let w(n) = -n - 3. Let z be w(-9). Let d = 6 - z. Let p(f) = 5 + f - 5*f - 1 + d. Determine p(q) - 5*s(q).\nAnswer: q - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 111000001111010111 - -10?\nAnswer: 111000001111011001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 c and 1 b when two letters picked without replacement from ccbcbc.\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + sqrt(95)\/(sqrt(5) - sqrt(125)).\nAnswer: -5 - sqrt(19)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 9, h: 11}. Give prob of sequence cchh.\nAnswer: 22\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = -0*z + 3. Suppose 0 = z*x - 58 - 65. List the prime factors of x.\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25 + -74 - -30 - -22.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 5\/((-20)\/72) - -1. Let v = u + -16. Let d = -40 - v. Let a(l) = -11*l - 13. Let r(c) = 5*c + 6. Calculate d*r(f) - 3*a(f).\nAnswer: -2*f - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 168864 a multiple of 82?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 45782, 57821, 69860, 81899, 93938, 105977?\n\"Answer: 12039*b + 33743","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -1d246 (base 14) to base 7\nAnswer: -430216","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times 61?\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j**(-13)*j*j*j*j**(-2\/19)*j)\/((j\/(j*j\/(j*j**(-8)\/j)))\/j)**(4\/5) assuming j is positive.\nAnswer: j**(-21\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 445 divided by -1.\nAnswer: -445","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let j(n) = n**2 - 21*n + 62. Let l be j(46). Let t = 2081 - l. Is 8 a factor of t?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 22220267119 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-1)\/(-3) - 2\/6. Suppose -3*p + 2*l + 2 = g, 3*l - 2*l = -4*p + 21. Suppose p*o + 8 = 40. What are the prime factors of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 117.5 - 157. Let a = o + 43.39. Let m = 4 - a. Round m to one decimal place.\nAnswer: 0.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -20 + -23?\nAnswer: -43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 15 and 15915?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of (4\/(-7))\/(-7 + 3710\/539) and -28\/5?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p*p**(-3))\/p**(1\/7))**(-1\/13)\/((p**(-4)\/p**(-2\/5))\/(p**(-1\/4)\/p)**(-5\/6)) assuming p is positive.\nAnswer: p**(52487\/10920)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((u*u\/u**(-3))\/u)**18*(u\/(u\/(u**(-1)*u*u)))**(4\/17) assuming u is positive.\nAnswer: u**(1228\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -6126096 divided by -2?\nAnswer: 3063048","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 23 - 20. Suppose l*f = 4*f + 4. Is f at least as big as 2\/3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 155072?\nAnswer: 2, 2423","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -27 in 4\/3, -5, -1\/4?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -63*q**2 + 13*q**2 - 31*q**2 - 25*q**2.\nAnswer: -106*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r = 22 - 17 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c = 2 - 8. Suppose 69 - 15 = c*g. What is the remainder when g is divided by (-6)\/(-9)*24 - 1?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 4285+-20.1609592\nAnswer: 4264.8390408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*b - 20 = -8*x, -139*x = -137*x - 3*b + 1 for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/((-3)\/((-6)\/472)). Let i = r + 9655\/1652. Calculate the common denominator of i and 33\/10.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 20689801?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ptuwttpupjtttjucctc. What is prob of sequence cpc?\nAnswer: 1\/323","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the second derivative of 0*u**3 + 12*u + 0*u**2 - 1\/3*u**4 + 0 - 1\/15*u**6 + 3\/10*u**5. Find p such that b(p) = 0.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) be the third derivative of -5*v**8\/196 - 73*v**7\/490 - 101*v**6\/280 - 13*v**5\/28 - 19*v**4\/56 - v**3\/7 - 44*v**2. Suppose z(m) = 0. What is m?\nAnswer: -1, -2\/5, -1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2\/9*x**3 - 10\/3 + 62\/9*x - 34\/9*x**2.\nAnswer: 2*(x - 15)*(x - 1)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -81\/194636 and -15\/779?\nAnswer: 7980076","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 j and 1 n when two letters picked without replacement from qgggjnggfqngjqqgffqg?\nAnswer: 2\/95","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-19)\/(95\/(-6)) - 1.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 + -121021?\nAnswer: -121032","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1394\/51 - -33*(-30)\/1485.\nAnswer: 80\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 8804 and 13774?\nAnswer: 142","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 91, 81, 73, 67, 63, 61, 61?\n\"Answer: b**2 - 13*b + 103","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 54255697?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(d) = 53*d - 4. Let w(o) = 19*o. Calculate w(s(a)).\nAnswer: 1007*a - 76","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 327 is divided by 2.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Sort -35, -20, 667, 6, 0 in ascending order.\nAnswer: -35, -20, 0, 6, 667","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between -80 and -14094087?\nAnswer: 14094007","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -a**2 - 3*a. Let n be k(-2). Solve -n*y - 2 = m, -3*m - y = 2 - 6 for m.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 96734?\nAnswer: 2, 11, 4397","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 359 minutes after 10:32 AM?\nAnswer: 4:31 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: 0.648265*-0.6\nAnswer: -0.388959","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -6401\/6 + 50905\/48. Find the common denominator of h and -3 - (219\/(-48) - -2).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 109.65 - 107. Let y = p + -2.4. Let d = y - 0.39. Which is the biggest value?  (a) 0  (b) -0.5  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4173 divided by 1391.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) be the first derivative of 0*u - 5\/7*u**2 + 2\/21*u**3 - 5. Solve h(o) = 0.\nAnswer: 0, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 5328, 2743, 3 in ascending order.\nAnswer: 3, 2743, 5328","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2.9732 + -0.0268. Sort 1\/4, -4, w, -0.6 in decreasing order.\nAnswer: 1\/4, -0.6, w, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**3\/4 - 467071*j**2\/6 - 18179687765*j\/3 - 12119688050\/3.\nAnswer: -(j + 155690)**2*(3*j + 2)\/12","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/u**(-2))\/u)**7)**(-5\/12) assuming u is positive.\nAnswer: u**(-35\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 5646700?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = -r**3 - 25*r**2 + 3. Let x be i(-25). Let w = -4.7 - -5. What is the nearest to -0.11 in 5, x, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 248\/25  (b) 0.09  (c) -0.7  (d) 4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 greater than -96?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 16 - (-2 + -8 + (-84 - -92))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Divide -147961 by -2.\nAnswer: 147961\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -172 + 614. Is 34 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4.8787 rounded to 1 decimal place?\nAnswer: -4.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 15 divide 825?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = 3*s + 21, 5*c + 2*s - 3*s = 46. Let h(x) = 3*x**2 - 29*x - 32. Let p be h(14). Let n = 151 - p. What is the highest common divisor of c and n?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_test"},"subset":"dm_maths"}
{"text":"Question: What is 6239226 rounded to the nearest one thousand?\nAnswer: 6239000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 215 is divided by 81?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is -33\/4 at least -0.5803?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Put 202, 4, 5, -5, 8 in ascending order.\nAnswer: -5, 4, 5, 8, 202","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 394.3 * -2\nAnswer: -788.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*x + 8*x = -24 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) be the second derivative of -t**6\/60 - t**5\/20 - 3*t. Factor v(m).\nAnswer: -m**3*(m + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 781.0885 + -781. Let s = 123.4885 - c. Round s to zero decimal places.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-6*sqrt(77)*-1 + sqrt(77) - 2*-1*sqrt(77))\/((sqrt(448) - 1*sqrt(448))*2 - sqrt(448)*-1*2).\nAnswer: 9*sqrt(11)\/16","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) 0.6  (b) -0.4  (c) -2  (d) 72  (e) 1\/8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4*u**2 + 2*u**2 - 47*u**2 - 46*u**2.\nAnswer: -95*u**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sum 621.1 and -27.995.\nAnswer: 593.105","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*(sqrt(4200) - 5*1*sqrt(4200)))\/((sqrt(270)*-2)\/sqrt(5)*3))**2*6.\nAnswer: 22400\/27","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(k) = -k**2 + 13*k + 17. Suppose 3*d - 14 = 2*d. Let u be m(d). Suppose -2*x + 9 = -u. Solve -16 = -2*s + 4*f, 5*f = -s + x*f + 5 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(c) = -351*c**3 - c**2 + 1. What is the units digit of l(-1)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence kwr when three letters picked without replacement from wjrdwck?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 10592.02 rounded to the nearest 1000?\nAnswer: 11000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 1289322527 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = 14 + 26. Let o = 940 - 940. Suppose o*d = 5*d - i. Solve -d*u = -16 - 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**4\/7 - 3268*f**3\/7 - 6578*f**2 - 23072*f.\nAnswer: 2*f*(f - 1648)*(f + 7)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o(y) = 2*y**2 - 7*y - 7. Let d be o(7). Let h = -27 + d. Calculate the remainder when h is divided by 9.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -a = -4*a + 5*k + 15, -2*a - 2*k - 6 = 0 for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**(-1))**(1\/8))**(-3\/23) assuming f is positive.\nAnswer: f**(3\/184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -104, 3 in increasing order.\nAnswer: -104, -2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.2934 rounded to two dps?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 f and 1 s when three letters picked without replacement from fyspdynf.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = -2*l + 11. Let s be -2 + -3 + l + -2. Let i(m) = -m - 1. Let y(u) = -10*u. Let w(r) = r - 4. Let j(p) = -2*w(p) - y(p). What is s*j(z) - 14*i(z)?\nAnswer: -2*z - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 111 minutes after 5:31 AM?\nAnswer: 7:22 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 201*n + 1 + 1 + 0 - 243*n - 4 to the form t*n + j and give t.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1193.05 - -1193. What is the nearest to -1\/3 in z, -11\/5, -0.06?\nAnswer: -0.06","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -581 = -12*z - 29. What is the tens digit of z?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 21 + -43\/2. Which is the closest to -2\/9?  (a) g  (b) 0.3  (c) 0.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 197205.\nAnswer: 3, 5, 13147","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a + 2*a + 8*a = 0. Suppose v - 5*k - 17 = a, -v + 5*v - 3*k - 119 = 0. Calculate the greatest common divisor of 256 and v.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 1\/3*-3 - 747\/(-783). Is -1 greater than f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -6 + 2. Let n = 19 - 21. Let k be (45\/15)\/(n\/2). Which is the third smallest value?  (a) -0.2  (b) g  (c) k\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*i**4 + 861*i + 865*i + 2 - 1726*i - 217*i**3 in the form v*i**4 + u + d*i + z*i**2 + c*i**3 and give v.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 60359327 divided by 47\nAnswer: 1284241","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Determine k, given that -4*k**3 - 832*k**2 - 1652*k - 824 = 0.\nAnswer: -206, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 >= -6\/9766795?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*d - 10, -138 = -0*c + c - d. Let n = c + 369. What is the least common multiple of n and 10?\nAnswer: 1180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 153\/18 + 2\/((-16)\/12). Solve -x - 5*y + 13 = x, 3*y = -x + j for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = 4*h**3 + 2*h**2 - 2*h + 1. Let z = -37 + 56. Let x = -6 + z. What is the remainder when x is divided by q(1)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 6 + 1)*(-3*x - 2*x + 7*x + 0 + 0 + 3*x + (-4 + 1 + 2)*(-3 + 2*x + 3) - 5*x + 2*x + 2*x).\nAnswer: -2*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -67\/10 and -45\/233798.\nAnswer: 1168990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((l*((l\/(l\/((l*l**(-2\/5)*l)\/l)))\/l)\/l)\/l)\/(l**(-11)\/l))**(-15\/8))**(2\/3) assuming l is positive.\nAnswer: l**(-53\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 28290 is divided by 1903?\nAnswer: 1648","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 4*y**2 + 5*y + 2. Suppose -2*j + j + 8 = 0. Let r(f) = 7 - f**2 + 2 - 5 + j*f**2 + 9*f. What is -5*h(c) + 3*r(c)?\nAnswer: c**2 + 2*c + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 19522 and 2951?\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 divided by 235751?\nAnswer: 1\/235751","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g and 1 e when two letters picked without replacement from ewshebgsh?\nAnswer: 1\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(h) = h**3 + 22*h**2 - 80*h - 760. Is b(-21) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 58 or 64?\nAnswer: 64","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 238814 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2250 - 2205 - 31*b**2 + 4455.\nAnswer: -31*b**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose c + 7 = u - 0*u, 3*u - 19 = 5*c. Let t = u + -17. What is the least common multiple of 10 and (3\/4)\/(t\/(-24))?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 33737 is divided by 3671?\nAnswer: 698","meta":{"dup_signals":{},"source":"numbers__div_remainder_test"},"subset":"dm_maths"}
{"text":"Question: Let u(b) = b**3 - 2*b**2 - 53*b - 24. Determine u(0).\nAnswer: -24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(a) = a**3 + 21*a**2 - a + 4. Let g be t(-21). Suppose -15*s = -10*s - g. Sort 4, s, 3 in increasing order.\nAnswer: 3, 4, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -996 = -2*o - 4*b + 2934, -5*o - 3*b = -9839. Is o a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 48, -3, 0, -1\/5, -3\/5 in increasing order.\nAnswer: -3, -3\/5, -1\/5, 0, 48","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) be the first derivative of -t**2\/2 + t - 22. Give x(-4).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 67565 to the power of 1\/5, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 44 + -37. Suppose 0 = 13*g + 11 - 167. Calculate the remainder when g is divided by q.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -3 - 6221a76?\nAnswer: -6221a79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 290 - 287. Solve p - 3*p = z + 6, -q*z + 6 = 0 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11101111111 + 10?\nAnswer: 11110000001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lld when three letters picked without replacement from dllddlll?\nAnswer: 5\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 12124 + -12129. Let h(p) = -8*p + 3. Let q(w) = 2 + 0*w - 2*w - 5*w. Calculate u*h(r) + 6*q(r).\nAnswer: -2*r - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from zzqzq?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + -2*sqrt(12) - (sqrt(3) + (1*sqrt(192))**2 + sqrt(18)\/sqrt(96)).\nAnswer: -197 - 21*sqrt(3)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = -k**2 + 7*k + 69239. Is i(0) a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -2, 8\/11, 111.732?\nAnswer: 8\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:22 PM and 10:02 PM?\nAnswer: 520","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put together -43 and -103282211849.\nAnswer: -103282211892","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of ((-2)\/4 + 0)*(-549)\/81 and -1*(-2)\/(-6) + 2405\/(-3330).\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of ((-1508)\/(-91))\/((-3954)\/(-987) - 4)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.07 - 3.07. Let c = -7 + 6.9. Let n = 4435 - 4436. What is the closest to -2\/3 in n, w, c?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 79794513.\nAnswer: 3, 8866057","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -73\/2481 and -161\/30.\nAnswer: 24810","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 - -10 - 3 - (8 - 6)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 218025 and 74205?\nAnswer: 21148425","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/(g*g\/g**(-24))*((g\/(g\/g**(2\/71))*g)\/g)\/g)\/(g**(-34)\/g**(-7\/6)) assuming g is positive.\nAnswer: g**(2923\/426)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Factor -z**3\/4 + 123*z**2\/2 - 5885*z\/4 + 9075.\nAnswer: -(z - 220)*(z - 15)*(z - 11)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -510046*c*n**3 + 282994*c*n + 7*c + 7*n**3 + 24*n wrt n?\nAnswer: -3060276*c*n + 42*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 2*s. Suppose 4*b = 2*l - 46, s*l - 49 = 4*b + l. Let d be 140\/24 - 2\/b. Solve -d = 4*z + 2 for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one quarter of a litre?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-250)\/(-1700) - (-2047)\/(-8602).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) = -q**2 + 4*q. Let d(k) = 6*k**2 - 21*k + 1. Let m(g) = -g - 6. Let w be m(-8). Let v = -61 - -72. Calculate v*n(l) + w*d(l).\nAnswer: l**2 + 2*l + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(660)*-4)\/sqrt(12))\/(sqrt(55)\/sqrt(5)*-6).\nAnswer: 2*sqrt(5)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 8719 + 1817 = 0. Suppose 5*g = -r - 4815, 3*g + p = 5*r + 27442. What is r rounded to the nearest 1000?\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (3*b**2 - b**2 + 0*b**2)*(-3*b**2 + b**2 - 3*b**2) as y*b + l*b**3 + p*b**2 + x*b**4 + w and give x.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -2*x**3 + 28*x**2 - 7*x + 101. Let l be r(14). Suppose 1\/2*z**2 + 1\/6 - 1\/6*z**l - 1\/2*z = 0. Calculate z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 2*o - 1, -2 = 4*o - 4*v + 2*v. Suppose c = -4*u + 160, 0 = -3*u - o*c + c + 120. What is the common denominator of 3618\/660 + (-2)\/(-22)*-2 and u?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 13 + -6. Let r(x) be the first derivative of x**2\/2 - 9*x + 7. Let a be r(f). Which is smaller: a or -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.007*78.1.\nAnswer: 0.5467","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -70.9 + -577701?\nAnswer: -577771.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let x(l) be the third derivative of l**5\/30 + l**4\/12 - 4*l**3\/3 + 276*l**2 - 5*l + 2. Let z(r) = -r**2 - r + 3. What is -5*x(s) - 12*z(s)?\nAnswer: 2*s**2 + 2*s + 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7570*p + 1047*p = 1118*p + 227556 + 207981 for p.\nAnswer: -57","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0*y - 120 = 10*y + 5*y for y.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 70 and 238?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 1682133511 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -4*g + 2*g - 4*b, 5*g - 5*b - 15 = 0. Let a be 9 - 3 - -1 - g. What are the prime factors of a\/7 + 14\/1?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4 - -1 - (-6 + 14 - 18)\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 10 + 2101120220222?\nAnswer: 2101120221002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is (-6)\/(-10)*510\/(-12)*-2 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4250.\nAnswer: 2, 5, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1\/27652109 or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -2*g + 14. Let m be k(-10). Let i(u) = 7 + 9*u + 8 + 8 - m - u**2. Determine i(8).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(r) be the second derivative of -r**3\/6 - r**2 + 183*r. Let m(h) = -3*h. What is o(m(y))?\nAnswer: 3*y - 2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 22855279 to the power of 1\/2, to the nearest integer?\nAnswer: 4781","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 + (14 - -1) + -21.\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 326*t + 97*t - 4596 = 40*t for t.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 60 = 0, -4297*m - 3*h = -4295*m - 58 for m.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-15)\/(-2)*((-780)\/9)\/(-13). Suppose -2*b = -800 - c. Calculate the greatest common factor of 17 and b.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6 + (0 - 6 - 2).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in x - 5338 - 5330 + 10668.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 34 + 74. Is 23 a factor of z?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in 0.430352nm?\nAnswer: 0.000000430352","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 204478474 and 4645?\nAnswer: 929","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -779, -6354, -21483, -50942, -99507?\n\"Answer: -796*y**3 - y**2 + 18","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -55a5ac (base 14) to base 11\nAnswer: -1708178","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 192 a multiple of 5?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 40 and 748856?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -346 + 359. Let q(z) = -z + 16. Let m be q(y). Let u be (-152)\/(-10) - 2\/10. Solve m*s - u = -r, -2*r - 3*s = s - 20 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many days are there in 269398.68 hours?\nAnswer: 11224.945","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*j**4 - 1209 + 238*j**3 + 0*j**4 - 242*j**3 - 5724*j - 388 - 696*j**2 - 9581.\nAnswer: 2*(j - 23)*(j + 3)*(j + 9)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -133, 0.5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -2*l**3 + 35*l**2 + 201*l - 6. Calculate c(-7).\nAnswer: 988","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -39*i = -28*i + 47896200. What is i rounded to the nearest ten thousand?\nAnswer: -4350000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -8 - -10. Solve -3*b - a = -11 for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w - 21 = -5*t + 2*t, 13 = 3*w + 2*t. Suppose -w*r = m - 137, -2*r + 228 + 320 = 4*m. Does 54 divide m?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*f - 3*u - 116 - 52, -123 = -3*f + 3*u. Solve -f = -4*z - 5*z for z.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -36 = -2*a - 0*a. Let s be a\/5*5\/2. Let o(m) = 2*m - 12. Let f be o(6). Solve 2*q + 1 + s = f for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -208, 5, 0.259 in descending order.\nAnswer: 5, 0.259, -208","meta":{"dup_signals":{},"source":"comparison__sort_test"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 13968251?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -448*m**2 - 11*m - 10. Let f be h(-1). Let j = -409 - f. Calculate the remainder when 67 is divided by j.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4 = -3*z - c, -7*c + 16 = -4*z - 3*c for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -n + 3*x = -1, 6*n - 9*n + 3 = -6*x. What is the closest to n in -0.3, 1, -6, -3?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 208 and 26?\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 0.118498777 bigger than 1\/4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 136, 222, 312, 406?\nAnswer: 504","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 3\/50 of a milligram?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -2080\/9 equal to -230?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 281 to the power of 1\/6, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*m**2 - 4299*m - 4302.\nAnswer: 3*(m - 1434)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1390868 and 2.61.\nAnswer: -3630165.48","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 2093206, 2093215, 2093224, 2093233, 2093242, 2093251?\n\"Answer: 9*f + 2093197","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor 0 + 8*g**3 - 285\/8*g**4 + 225\/8*g**5 - 1\/2*g**2 + 0*g.\nAnswer: g**2*(g - 1)*(15*g - 2)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -5*n*x**5 - 8*n*x**2 - n + 21*x wrt x?\nAnswer: -100*n*x**3 - 16*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*h + 1 - 15. What is the derivative of 0 - 4 + 4*m + 2 - h*m wrt m?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 120 minutes before 7:32 AM?\nAnswer: 5:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-q - 3*q + 3*q)*(3*q**2 - q**2 - 3*q**2).\nAnswer: q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*o + b - 9358, -3*o + 44*b + 7010 = 49*b. Is o a multiple of 52?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*l**3 - 2*l**3 + 3*l**3 - 2 + 2 - l**3 + (l - 2*l + 0*l)*(-2*l**2 + 2*l**2 + l**2) - 8*l + 0*l**3 - 2*l**3 + 0*l.\nAnswer: -5*l**3 - 8*l","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 1*(-5)\/((-1)\/(0 + 1)). Suppose 8*d - 9 = z*d. Let r(q) = -q**2 + q - 5. Let c be r(0). Sort d, c, -21 in descending order.\nAnswer: d, c, -21","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -284277, -284241, -284211, -284187?\nAnswer: -284169","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fzbfjbbbfbyfznyyzf. What is prob of picking 1 b and 1 n?\nAnswer: 5\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -430 = -0*t - 2*t. Suppose 4*a = -4*d + 156, 5*d + 2*a - t = 7*a. Factor 32*o + 41*o**2 - d*o**2 - 37*o**2 - 67*o**2 - 28*o**3.\nAnswer: -4*o*(o + 4)*(7*o - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 - -2. Let f = -0.3 + -0.7. What is the nearest to 1\/3 in i, f, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 570552775 to the power of 1\/2, to the nearest integer?\nAnswer: 23886","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 3660338 and 3327580.\nAnswer: 36603380","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 264 and 12024?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3\/16, -1\/8, -732\/5, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 202, 213, 230, 253?\nAnswer: 282","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 1.61494 milligrams?\nAnswer: 0.00161494","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -2 - -14. Let m be 21\/j - (-3)\/12. List the prime factors of (-3)\/(m*1\/(-12)).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-4)\/(-226) + (-54264)\/461040.\nAnswer: -1\/10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-2)\/(-4))\/(2\/120). Suppose 5*a - 2 - 18 = 0. Suppose v = a*v - 30. Calculate the highest common factor of v and q.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -9454 divided by 4727.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 47.377 times 0.4?\nAnswer: 18.9508","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -3  (b) 5  (c) -0.1  (d) -46  (e) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let q(n) = 18*n + 24. Let o be q(-6). Let x = o - -80. Let b(w) = 6*w**2 - w + 4. Is b(x) a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = -i**3 - 20*i**2 - 21*i - 10. Determine l(-19).\nAnswer: 28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6 = -4*w + 6*w. Let b(q) = -2*q**3 - 2*q + 4. Let y be b(w). Let c = -39 + y. Solve 4*m = -m + c for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 109 + -114. What is the second smallest value in o, -4, -2\/3, -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (((-33)\/(-9) - 2) + -2)*(-2056 + 2062)\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -k**3 + 3*k**2 + k + 2. Let b be (-8)\/28 - (-30)\/7. Let i be x(b). Calculate the lowest common multiple of 7 and (-76)\/(-10) - 4\/i.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 40 or 456\/11?\nAnswer: 456\/11","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m(y) = 1475*y**3 - 5*y**2 + 30*y - 39. What is the hundreds digit of m(2)?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2398257 is divided by 26.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-3)\/(-5) + 66\/15. Suppose -4*f + 126 = 2*h, g*f - 2*h = 41 + 103. Is f equal to 31?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -1715 and -1714 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -12136.49 times 0.001\nAnswer: -12.13649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a be -1 + 9\/(4 + -1). Suppose 0 - a = -2*l. Put l, -5, -1 in ascending order.\nAnswer: -5, -1, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of i*x**4 - 2*i*x**3 + i - 10*x**4 - x + 6198 wrt x.\nAnswer: 12*i*x**2 - 12*i*x - 120*x**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -b + 149 = 3*t, 2*b - 265 = 1137*t - 1132*t. What is the remainder when 1331 is divided by b?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 69*h + 48*h = -1287. Let n(i) = -i - 11. Calculate n(h).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6 by 1.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17 = -2*i - 9. Solve i*v = p - 3, 5*v + p - 4 = -19 for v.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i + 64 = -4*z, 2*z + 5 = -4*i - 27. Let h = 16 + z. Put h, -2, 4, -4 in decreasing order.\nAnswer: 4, h, -2, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {c: 3, w: 4}. What is prob of sequence cwcc?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -101*a - 721 + 216 = 0 for a.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 41 + -8?\nAnswer: 38","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is b353 (base 16) in base 3?\nAnswer: 2022222021","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is (-27 - -73)*-1*((-12 - -9) + 4)?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Determine u, given that 1260*u + 685*u**4 - 2025*u**3 + 320*u**2 + 195 + 125 + 693*u**4 - 1253*u**4 = 0.\nAnswer: -2\/5, 1, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -22*j - j - 10*j + (3*j - 2*j - 3*j)*(-4 + 2 + 0) - 2*j - 2*j + 6*j.\nAnswer: -27*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1245818 to the nearest integer?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 12 + -15. Let a be (-1)\/3 + (-199)\/r. Calculate the highest common factor of 6 and a.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 157816 is divided by 58?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.1 in 16\/3, -5, 21670?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*z + 13 = -85*c + 86*c, 0 = -3*z - 3*c - 21 for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -3 + 3. Suppose 2*r + 3*r = 20, x = -o + 3*r + 15. What is the tens digit of o?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -89 = -4*b - 73. Solve -2*w + 6*w + 5*s - 31 = 0, -3*s + 25 = b*w for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 609 minutes before 7:20 PM?\nAnswer: 9:11 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -20988003, -20987987, -20987947, -20987871, -20987747, -20987563, -20987307, -20986967?\nAnswer: -20986531","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -13*r**2 - 7*r - 10*r + 17*r.\nAnswer: -13*r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jddsddejedqjddgdeejs. What is prob of sequence jdg?\nAnswer: 4\/855","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of ((-19)\/2 + 5)\/((-610)\/(-25)) and -37\/671?\nAnswer: 2684","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 - (-3)\/1*1. Suppose 0 = -a - y*a + 228. Suppose g + 4*g - 95 = 0. Calculate the greatest common divisor of a and g.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 37.20244 minutes to seconds.\nAnswer: 2232.1464","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.99697 - 73604.99697. Let w = -73603.913869 - b. Let n = w - 0.086. Round n to five decimal places.\nAnswer: 0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-5)\/3 + ((-16)\/(-12))\/2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Does 143 divide 11501347?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is (1\/(-6))\/((-5)\/(-15))?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-1\/16)*p**(-2\/29))\/(p**(-8)\/p*p\/p**(7\/5)*p*p))**1 assuming p is positive.\nAnswer: p**(16863\/2320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*v - 3*v + 4*v)*(1 + 2 + 0) + 2*v + 2*v - 2*v + 1 + 2*v - 1)*(-5*v + 3*v - 5*v).\nAnswer: 14*v**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose i + 0*q = -2*q + 616, q = -5. Is 3 a factor of i?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 73 + -70. Suppose 5*a - 4*o = 0, -5*a + m*o = -0*o. Suppose a*l + 7 = 7*l. Solve l = -p - 2 for p.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y and 1 m when three letters picked without replacement from yyyyymymyh?\nAnswer: 7\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -11.8 - -10. Let d = -2.2 - m. Which is the closest to 2?  (a) d  (b) 1  (c) -0.2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4271.34 rounded to the nearest one hundred?\nAnswer: -4300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 9*t**2 - 147*t + 420. Let h(f) = -f**2 + 15*f - 42. Let x(g) = -2*a(g) - 21*h(g). What is the first derivative of x(w) wrt w?\nAnswer: 6*w - 21","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(88)*2 + sqrt(88) + sqrt(88))*-5*-6)\/(-2*sqrt(128)*3*-3).\nAnswer: 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(q) = q + 2*q**3 - 3*q**3 + 78044 - 78045. Suppose 7 + 2 = r + v, -4*v = 2*r - 24. Let i be 8\/r - 4\/12. Calculate a(i).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 - 37 = -3*a. Suppose a + 6 = 4*p. Suppose 2*v = 5*t - 16, 3*v = -3*t + p*v + 12. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:31 PM and 7:42 PM?\nAnswer: 371","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = u**2 - 7*u - 4. Suppose 0 = r - 11 + 13. Let t be (5\/(-10))\/((-1)\/(-4)*r). Let j be (1\/1)\/(0 - t\/(-6)). Determine y(j).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 96 + -0.093.\nAnswer: 95.907","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 115 is divided by 30?\nAnswer: 25","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 97\/25365 and -41\/1691.\nAnswer: 25365","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = -14*w**2. Let f(m) be the second derivative of m**4\/24 - 41*m**2\/2 + 32*m. Let p(r) be the first derivative of f(r). Give p(c(y)).\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be -7 + ((-51)\/(-15) - (-2)\/(-5)). Is (-7)\/((-26)\/16 + (-6)\/j) a multiple of 14?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 64363 - 2?\nAnswer: 64361","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q*q**31\/q)\/(q\/(q**17\/q)) assuming q is positive.\nAnswer: q**46","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 2786377830?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is 11001110010010011110 + 101?\nAnswer: 11001110010010100011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w = -0*w + 104440. Let r = 38926 + w. Suppose 4*t + 0*t = 5*o - 16016, -4*t = -4*o + r. What is o rounded to the nearest one thousand?\nAnswer: 3000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 8 and (-30)\/1*30\/(-50)?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 149\/24924 - 5\/372. Which is the third biggest value?  (a) 4  (b) 0.5  (c) x\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 273 a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 419579 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 3573543\/(3 + (-8)\/4). Let g be 1*(490 + 3)*-21149. Let a = j - g. Round a to the nearest 1000000.\nAnswer: 14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1280515405.\nAnswer: 5, 13, 251, 78487","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 391 and 1921.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = -5*y**3 - 440*y**2 + 11*y + 635. Give a(-88).\nAnswer: -333","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/(z*z**(2\/19)\/z)*z\/(z**(-14)\/z))**(-1\/2) assuming z is positive.\nAnswer: z**(-321\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000190745037 rounded to five decimal places?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 6  (b) -4  (c) 2  (d) -5  (e) -0.2454\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 5 - 137?\nAnswer: -132","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (20\/15)\/(2\/6). Suppose 0 = -v - 3*s + 5, -v - u*v + 6 = -4*s. Factor -2*d**4 - 2\/3*d**v - 2*d**3 + 0*d + 0 - 2\/3*d**5.\nAnswer: -2*d**2*(d + 1)**3\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5.1805 - -5. Let u = 0.0195 - w. What is the nearest to -3 in -0.6, 5, -3\/2, u?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is b in -4*b**2 - 256*b - 4096 = 0?\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 27049969 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the third derivative of -c**6\/120 + 7*c**5\/60 + c**4\/3 + c**3\/3 + 5*c**2. Let h be b(8). Suppose -117 - 23 = -h*y. Is y a multiple of 16?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -21*h - 5184 = -5373. Sort 2, 0, 19, h in descending order.\nAnswer: 19, h, 2, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 489 - 72. Suppose -4*s = -s - l. Let o = s - 269\/2. Calculate the common denominator of -5\/18 and o.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -12 + 16. Let d(t) = -t + 0*t + 0*t + f*t. Let m(a) = 3*a**2. Give d(m(w)).\nAnswer: 9*w**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) = a**3 + 9*a**2 - 10*a + 5. Let k be o(-10). Suppose -k*s = -0*s. Which is greater: -2\/7 or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t*(t*t*t*t*t\/(t**(-1\/2)\/t)*t*t)\/t)\/t**(-4)*(t\/t**8)\/t**(-9)*((t**0)**(-3\/17))**4 assuming t is positive.\nAnswer: t**(29\/2)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 794 - 70. What is the tens digit of k?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 53361916 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 438898758?\nAnswer: 2, 3, 17, 59, 72931","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + (sqrt(1053) + -2*(1*sqrt(1053) - sqrt(1053)))*6 - (1*sqrt(1053) + sqrt(1053) + sqrt(1053) + 2)*-5*3) + 5)**2.\nAnswer: 27540*sqrt(13) + 2739753","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -19602577 or -19602585?\nAnswer: -19602585","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:11 PM and 12:22 AM?\nAnswer: 191","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 889 - 9805. Let l = -5999 - y. Let o = -1770 + l. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) = k**3 - 6*k**2 + 2*k - 9. Let a be n(6). Suppose -4*v = -27 + 75. Let y = 21\/2 + v. What is the smallest value in a, -0.4, -3, y?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) be the first derivative of -5*h**2\/2 - 8*h - 6223. Let y(m) = 15*m + 23. Calculate 17*x(i) + 6*y(i).\nAnswer: 5*i + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -8793 + 9157 = 52*k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000003833901 rounded to six decimal places?\nAnswer: 0.000004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -2\/27, -4, -1, -70?\nAnswer: -70","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 5?  (a) -4\/5  (b) 0.3  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*o - 2*h + 1876, 28*h + 926 = 2*o + 31*h. Sort -3, o, -2 in ascending order.\nAnswer: -3, -2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(i) = 2*i**2 + 2*i + 3. Let h be a(0). Suppose -3*x - 3*m = -137 - 1009, 0 = -3*x + h*m + 1146. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 342011?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p - 7*p + 4*y - 4 = 0, 5*p = -3*y + 19. Does 20 divide 68\/(4\/p) - 0?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 442  (b) 0.18  (c) -5  (d) 3\/8  (e) 0.4  (f) -0.023\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3\/(-12) - 165\/12. Suppose -4*h - h = 0, -h = -i + 20. Let x = i + r. List the prime factors of x.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**4\/d)**2\/(d**4)**48 assuming d is positive.\nAnswer: d**(-186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.38, -2\/7, 1201, 0.28.\nAnswer: -0.38, -2\/7, 0.28, 1201","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -2*o + 5. Let d be n(4). What is the tens digit of (d + 93\/21)*7?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {n: 1, r: 1, t: 4, d: 5, y: 1}. What is prob of sequence trrr?\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 7023?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Does 12 divide 2872?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14, 22, 6, -46, -146, -306, -538, -854?\nAnswer: -1266","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let m(s) = 3*s**3 - 4*s**2 - 7*s + 2. Let i(o) = -6*o**2 + 2*o + 2*o**2 + 2 - 3238*o**3 - 10*o + 3242*o**3. Give 4*i(l) - 5*m(l).\nAnswer: l**3 + 4*l**2 + 3*l - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1198*s = -1184*s - 112 for s.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -28 - -55. Let z = 30 - u. Suppose 0*v + 15 = 4*i + v, 2*v + 6 = 4*i. Solve -3*d - 9 = i*s, 0 = -z*s + 2*s - 2*d - 5 for s.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -4 + 122?\nAnswer: 11e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -54429 times -0.038?\nAnswer: 2068.302","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 14 divide 35916?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -1 + 980\/(5 + 2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-8*n**3 + 3 - 3)*(1 - 1 - 2) + 1 - 2*n**2 + 2*n**2 - n**3.\nAnswer: 15*n**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of 18776, 37291, 55806?\n\"Answer: 18515*n + 261","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-160 + 3)*(-2 + 3)*-1?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 5 = -1. Suppose -2*i = 4*i. Let h(u) = -u**2 + 2. Let k be h(i). Does k = f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(c) be the second derivative of -31*c**5\/10 - 115*c**4\/12 + c + 56. What is the third derivative of a(m) wrt m?\nAnswer: -372","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 25326951 and 689.\nAnswer: 689","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 0\/(-1) - 33*-2. Let o be l\/4 + 15\/10. Let c = 30 - o. Is 9 a factor of c?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 66*v + 16124 = 4*l + 64*v, v = 4*l - 16126. Does 21 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from iiikiauuusuukaii. Give prob of picking 1 s, 1 k, 1 u, and 1 i.\nAnswer: 3\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let u be ((-39)\/(-10))\/((-3)\/604)*5. Let j = -23687\/6 - u. Find the common denominator of 117\/20 and j.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = v - 1. Let x be y(3). Suppose -2*c - x*c + 572 = 0. Suppose -532 = -9*d + c. List the prime factors of d.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 7*r - 3. Let i(a) be the first derivative of 2*a**2 - a - 50. Let q(l) = 7*i(l) - 3*v(l). Give q(-3).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -3 + 2107719?\nAnswer: 2107716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -2122  (b) 21.8  (c) 218  (d) -1  (e) -5\/2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence qqp when three letters picked without replacement from {v: 3, f: 3, q: 5, a: 1, h: 4, p: 4}.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 394037957?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(l) = -l - 4. Determine u(-5).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve c + 3 = 4*d, 27428*d - 27431*d = 5*c - 54 for c.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 17063 is divided by 322?\nAnswer: 319","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -1422.5 + 1422.4999975922. What is p rounded to seven dps?\nAnswer: -0.0000024","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -14*m**3 - 11*m**2 - 14*m - 8. Let f(o) be the second derivative of -9*o**5\/20 - 7*o**4\/12 - 3*o**3\/2 - 5*o**2\/2 - 29*o + 1. Give -8*f(i) + 5*y(i).\nAnswer: 2*i**3 + i**2 + 2*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (8\/(-12))\/(1\/18). Let f be (-33)\/(-18) + (-2)\/w. What is the highest common factor of 10 and f?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 5 by 59.\nAnswer: 5\/59","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -11559*z + 11559*z + 28*z**3.\nAnswer: 28*z**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 1\/104*13*2*1\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*y - 66 = 2*f, 44882*f = 44878*f + 3*y - 128 for f.\nAnswer: -29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 153 - 1680\/11. Let y = 0.1 + -0.1. Let t = -1.86 - -1.66. What is the nearest to y in d, 0.3, t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -43\/110 and 39\/47315.\nAnswer: 1040930","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 83 is divided by 22?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -19 + 22. Does 14 divide ((-1285)\/30*-3)\/(s\/6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 560 divided by -16.\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:56 PM and 1:39 AM?\nAnswer: 103","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 386 - 13*m**4 - 24*m**2 - 386 wrt m.\nAnswer: -312*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-10)\/(-15))\/1*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 1974 and 745072482?\nAnswer: 1974","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-59)\/885 - ((-30704)\/(-240) + -15).\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 7303 * -14.\nAnswer: -102242","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) be the second derivative of r**3\/2 - r**2\/2 - r. Determine j(-1).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -10912, -12603, -15414, -19339, -24372, -30507, -37738, -46059?\n\"Answer: c**3 - 566*c**2 - 10347","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.001602487 to four decimal places.\nAnswer: 0.0016","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 26632, 26635, 26638?\n\"Answer: 3*d + 26629","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(3*((sqrt(78) - (sqrt(78) + 3*((1*sqrt(78) - sqrt(78)) + sqrt(78)))) + sqrt(78)))\/(-1*sqrt(600)*-1)*-5*3.\nAnswer: -9*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -7*h**3 + 3*h**2 + 1236*h + 6. Let f(u) = -12*u**3 + 5*u**2 + 2469*u + 10. Give -6*f(v) + 10*p(v).\nAnswer: 2*v**3 - 2454*v","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3192*l + 858623 - 858623 to the form c*l + d and give c.\nAnswer: -3192","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.54 + 0.04. Let g = 45 - 227\/5. What is the closest to -0.2 in g, z, 5?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) = 60*k - 3. Let l(g) = -3*g**2. What is t(l(m))?\nAnswer: -180*m**2 - 3","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 50523 and 33.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -2b63c - -9?\nAnswer: -2b633","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(j) = 78*j**3 - 3*j**2 - 3*j + 1. Suppose -y - 4 + 3 = -5*f, f = 5*y + 29. What is w(f)?\nAnswer: -77","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -51 - -55. What is the second derivative of 2 + 12*s**l - 8*s + 20*s - 2 wrt s?\nAnswer: 144*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 6 - 33 - (-5 + (6 - (-6 - -5)))?\nAnswer: -40","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 168 + -60. Suppose -3*v + 33 = v - 5*k, 2*k + 10 = 0. Suppose -v*l - 2*l + z = 0. Calculate the greatest common factor of 18 and l.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 9, -8, -2?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(u) = 2*u**2 + 8*u - 5. Let w be h(-5). Suppose 11 = 5*d - 3*o, 0*o + w*o = -5*d - 5. Let t = -0.2 + 0.2. Put d, 0.3, t in descending order.\nAnswer: d, 0.3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -3889 and -7639?\nAnswer: 29708071","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between -438 and 5?\nAnswer: 443","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 20*w**4 + 294*w + 85*w**4 + 348*w - 247*w wrt w?\nAnswer: 1260*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -520 divided by -128507.\nAnswer: 520\/128507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 64\/7?  (a) -18  (b) -0.0169  (c) -49\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 5, q: 12, y: 2}. What is prob of picking 1 r, 1 y, and 2 q?\nAnswer: 55\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1 - 3. Let h be ((-165)\/15)\/1 + 17 + -4. Put -6, o, 0, h in ascending order.\nAnswer: -6, o, 0, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -14, -19, -18, -11, 2, 21, 46?\n\"Answer: 3*q**2 - 14*q - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 21, -30, -167, -432, -867, -1514, -2415?\nAnswer: -3612","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of -252, -347, -574, -993, -1664, -2647, -4002, -5789?\n\"Answer: -10*l**3 - 6*l**2 - 7*l - 229","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-5)\/50*0)\/1.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Express (-223*v**2 - 5633 + 5633)*(2 - 2 - 1) + 3*v + 1 + 2*v**2 - 3*v in the form j + w*v + h*v**2 and give h.\nAnswer: 225","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 43 a factor of 13201365?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_test"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -19*x**2 - 15*x**2 + 4*x**2.\nAnswer: -30*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Convert 52516.2 years to centuries.\nAnswer: 525.162","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 114 and 456?\nAnswer: 456","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(f) = 3*f - 23. Let v(h) = 16*h - 114. What is 22*o(p) - 4*v(p)?\nAnswer: 2*p - 50","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1462.\nAnswer: 2, 17, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the second derivative of 0*n**2 - 1\/12*n**4 - 1\/3*n**3 + n - 12. Give a(-1).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76*b = 33*b + 57*b - 1523880. Does 13 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-16)\/((-4)\/(-12*(-13)\/(-39)))\nAnswer: -16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = -7*k. Let b be -5 - ((-288)\/27 + 5). Let z(p) be the first derivative of 4 - b*p**3 + 0*p**2 + 0*p. Determine z(j(d)).\nAnswer: -98*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -3*f - 2*d, -f - 4*f + 40 = -5*d. Suppose 6*r - 9*r = -2*a - 616, f*r + a = 814. List the prime factors of r.\nAnswer: 2, 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p + w = 2*p + 88, 2*p = 5*w - 96. Let t = p + 46. Suppose -t*h = -3, r - 3*h = 19 + 10. Solve 0*n + 5*n = -3*s - r, 3*n + 5*s + 32 = 0 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 50239 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4*d - 16*d + 6*d)*(-8*d - 12*d + 17*d - 3) to i + p*d**2 + n*d and give n.\nAnswer: 18","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-6))**(-2\/7)*(a**(1\/4)*a)**(1\/38) assuming a is positive.\nAnswer: a**(1859\/1064)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(360)*2)\/((sqrt(110)\/sqrt(2))\/sqrt(11) + sqrt(5)).\nAnswer: 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1.8 - 1.9. What is the third smallest value in 2, 1\/5, b?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 8*y**2 - 24*y + 18. Let t(c) = 9*c**2 - 28*c + 21. Let l(a) = 6*t(a) - 7*v(a). Let d(h) = -282*h**2. Calculate d(l(r)).\nAnswer: -1128*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: -0.17 + 780\nAnswer: 779.83","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -21 (base 3) to base 16\nAnswer: -7","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 858 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that -4*x**3 + 36*x**2 + 88*x = 0.\nAnswer: -2, 0, 11","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 12\/11, 2, 0, -0.4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2167365615?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/(-9) - (-260)\/6. Let i be 1\/(-3) + (-532)\/(-12). Let u = -22 + i. What is the highest common divisor of l and u?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -9 and 0.071?\nAnswer: -0.639","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {k: 5, x: 11}. Give prob of sequence kx.\nAnswer: 11\/48","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -944\/21 - -45. Let v(j) be the second derivative of 0 + 2\/7*j**2 - f*j**3 - 1\/42*j**4 - j. Factor v(s).\nAnswer: -2*(s - 1)*(s + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(612)*2 - sqrt(612)) + (sqrt(17) - (-1*sqrt(119))\/sqrt(7)) + (6*(sqrt(1088) + sqrt(1088)*3))**2.\nAnswer: 8*sqrt(17) + 626688","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -12*m**2 + m**2 + m**2 + 2*m**2 + 5*m**2.\nAnswer: -3*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.1 - 5871619132033.\nAnswer: -5871619132032.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -4.3, -0.4, 2, 34, -1, 1 in descending order.\nAnswer: 34, 2, 1, -0.4, -1, -2, -4.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 29705?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -395 or -5154\/13?\nAnswer: -395","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 283 a factor of 954800682?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00047684047 to 6 dps.\nAnswer: 0.000477","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-1)\/((-7)\/(-10)) + (16 - 15). Which is the closest to 2\/3?  (a) 0.4  (b) s  (c) 0.07\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - -4 - 0) + 1.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w + 2*w - 12 = -a, 12 = 4*w. Suppose 2*m - 5*d + 21 = 0, 2*d - 12 = m - 4. Does a = m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g - 5*r = -1458 + 1452, 5*r + 106 = 13*g for g.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(t) = t**2 - t + 13. Let i be u(0). Let z = i - 4. Solve 2*v = 3*b - z, -b = b + 5*v - 25 for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -40, -32, 0, 62, 160, 300, 488?\n\"Answer: n**3 + 6*n**2 - 17*n - 30","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*o - v = 10 - 2, 3*o - 12 = v for o.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 101129018 to the power of 1\/5, to the nearest integer?\nAnswer: 40","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (3 + -1 + 1)*149. Let h = 512 + r. Suppose -3*n - 254 = -h. Is n composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = -6*j**3 + j**2 + 98*j + 303. What is the remainder when b(-3) is divided by 136?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -66 + 460. Is o a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -7  (b) 1  (c) -6816  (d) 5  (e) 48\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 24093 to the power of 1\/7, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -342226.7331 to the nearest 10000.\nAnswer: -340000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -11336 + 23407. Is x composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (12\/(-150))\/(12024\/(-1670)).\nAnswer: 1\/90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 3+-1822.4\nAnswer: -1819.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 8\/53 + -1999\/954. Calculate the common denominator of 91\/44 and u.\nAnswer: 396","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 791168\/(-30905) - (-34)\/1\nAnswer: 42\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(s) = 12*s + 116. Determine u(-10).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -314 - 1628?\nAnswer: -1942","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 10193 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is three tenths of a kilometer in meters?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 16\/703953 and 63\/6648445.\nAnswer: 59836005","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 103352 is divided by 4460.\nAnswer: 772","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 79, 132, 187, 244, 303, 364?\n\"Answer: m**2 + 50*m + 28","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(v) = -3*v - v - 1 - 5. Let s be a(-6). Suppose 0*r + 3*l = r + 10, 10 = -3*r + 4*l. What is the greatest common divisor of s and r?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y**3 + 24*y**2 - 21*y - 50. Determine q(23).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n + 0*q + 3*q + 37 = 97, 4*q - 80 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 8770988 to the power of 1\/3, to the nearest integer?\nAnswer: 206","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 139\/270 and 187\/1200?\nAnswer: 10800","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1\/29 + 55\/87. Let i(l) = -l**3 + 4*l**2 + 4*l + 7. Let x be i(5). What is the nearest to c in x, -3, 5?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-4 - ((19 - 38) + (27 - 7))) + 113?\nAnswer: 108","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u - 10 - 5. Suppose 7 = -s + a + u, -4 = 3*s + a. Let n = 0.1 - 0.2. What is the closest to s in -0.5, n, 0?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 11 a factor of 9299?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -6782*n**3 + 9290*n**2 + 92884513?\nAnswer: -20346*n**2 + 18580*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 4, z: 2}. What is prob of picking 1 z and 1 e?\nAnswer: 8\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 724249 to the power of 1\/2, to the nearest integer?\nAnswer: 851","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 5 - 1a356e?\nAnswer: -1a3569","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17769?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 25408*a + 25426*a - 50834*a - 4*a**2.\nAnswer: -4*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.029248925 to one decimal place.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 7.937713 milligrams?\nAnswer: 7937713","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 6 + -2. Suppose w + 7 = -c, 0*c - 5*c - w = 43. Let n = -9 - c. Solve n = -b*t + 12 - 32 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2202303 (base 4) to base 2\nAnswer: 10100010110011","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1220531 to the power of 1\/3, to the nearest integer?\nAnswer: 107","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3332 + -34344?\nAnswer: -43231","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 3 - (-53780)\/(-17400) - 0\/1 and 43\/348?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -4, -1102, -0.2, 47.\nAnswer: -1102, -4, -0.2, 47","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ppnp when four letters picked without replacement from {x: 2, n: 3, p: 13}.\nAnswer: 143\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -9 minus 0.877?\nAnswer: -9.877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o = 5*o + 2*j + 5, -3*o = -5*j + 19. Let u(g) = g**2 + 6*g - 4. Let l be u(-6). Is o > l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -271*o = -89*o - 116*o + 726 for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n**3\/9 + 1444*n**2\/9 + 2*n - 1444 = 0.\nAnswer: -3, 3, 722","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let t(b) be the first derivative of 745*b**3\/3 + 5*b**2 + b - 343. Is 42 a factor of t(1)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = c**2 + 7*c + 5. Let f be m(-3). What is the units digit of (-59)\/f - 18\/42?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in 0.5, 4, 0.064272, -0.1?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 0.239411 + -0.2415. What is m rounded to four dps?\nAnswer: -0.0021","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 14 - 6. Suppose -z = 4*y - 14, -2*y + 0*z - z = -s. What is the second derivative of -y + q - 2*q**5 + 3 wrt q?\nAnswer: -40*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -511 + 2831 = 20*t. What is the hundreds digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -7954, -8116, -8278, -8440, -8602?\n\"Answer: -162*i - 7792","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Express (17 + 17 - 11)*(-q - 2*q**2 + q) + (-1 + 2*q + 1)*(q - 4*q + 0*q) + 12*q + q**2 - 12*q as s + r*q + i*q**2 and give i.\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 9025?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in 5, -1, -5, -125477, -10?\nAnswer: -125477","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 428 minutes after 9:32 PM?\nAnswer: 4:40 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.04  (b) 1\/14  (c) -2\/9  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 24*p + 108*p - 1070377 - 1232363. List the prime factors of p.\nAnswer: 3, 5, 1163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z + 4*l = 10, -18*l + 17*l = 3*z - 52. Solve -19 - 35 = -z*g for g.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -103\/10 and -91\/122.\nAnswer: 610","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*y + 3*k + k = -16, 5*y - 6 = -2*k. Suppose -28 = -2*a - 0*a. Let j be -1*(3 - (-9)\/(-3)). Solve f - a = y*c - 2, -5*f + 3*c + 32 = j for f.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -a**2 - 11*a - 7. Let f be g(-11). Let q = f - -13. What is the least common multiple of 20\/(-6)*(-12)\/5 and q?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1 - (60 + -72 - (0 + 4)).\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-5*(sqrt(3) + sqrt(15)\/sqrt(5) - sqrt(3))*5)**2 - ((-2*sqrt(2592) + sqrt(2592) - sqrt(2592))\/(sqrt(216) + 1*sqrt(216)))**2.\nAnswer: 1863","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) be the first derivative of -p**3\/3 - 8*p**2 - 10*p + 1. What is the tens digit of k(-6)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 329339449 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) be the first derivative of 4*b**5\/5 - 75*b**4\/4 - b**3\/3 + 680*b - 4203. Differentiate g(s) with respect to s.\nAnswer: 16*s**3 - 225*s**2 - 2*s","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 160442033 to the nearest integer?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) be the first derivative of 9*i**4\/4 + i**2\/2 - 4*i - 5. List the prime factors of q(2).\nAnswer: 2, 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 192\/(-432) + (-2906)\/(-18). What is the highest common divisor of l and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2 + 0 - 3)*(7*s + 10*s - s)*(8 + 0 + 31) as h + q*s and give q.\nAnswer: -624","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*n = 3*m - 27, 3*n + n + 16 = m. Let z(y) = 2*y. Let x(r) = 3*r - 5. Let v be x(2). Let w be z(v). Solve -4*p - m*i = -p - 4, -2*i = w*p for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many kilograms are there in 8\/25 of a tonne?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -31.624 + 0.224. Let t = -17.2 - m. Let k = 14.81 - t. Round k to one decimal place.\nAnswer: 0.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -38561106.00121 + 38560841. Let b = 265 + m. What is b rounded to four dps?\nAnswer: -0.0012","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*t**5 - 88*t**4 + 224*t**3 + 88*t**2 - 228*t = 0.\nAnswer: -1, 0, 1, 3, 19","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 404271 divided by 81\nAnswer: 4991","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is -403 at least as big as -434?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 589\/4 - 2903\/20. Find the common denominator of z and (-6180)\/72*3*(-2)\/70.\nAnswer: 70","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 60 (base 9) to base 10.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 126*h + 984 - 1247 - 3013 for h.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1765.511 - 56.\nAnswer: 1709.511","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-5)\/(-310))\/(2\/8). Let k = -37\/93 + y. What is the third smallest value in 0.2, k, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -330*o - 264 = -354*o. Solve 193 - 182 = o*k for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) be the second derivative of -d**7\/189 - 17*d**6\/135 + 7*d**5\/30 + 53*d**4\/54 - 20*d**3\/27 - 4*d**2 - 186*d. Determine q so that p(q) = 0.\nAnswer: -18, -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ee when two letters picked without replacement from lbimbmmbcemieilcmle.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -n - 2. Let b = 75 - 78. Let y(m) = 2*m + 3. Give b*y(v) - 4*i(v).\nAnswer: -2*v - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Is 1201663 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence sss when three letters picked without replacement from bsaabsssaab?\nAnswer: 4\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/15?  (a) -0.03065  (b) -2\/9  (c) 1\/5  (d) 6\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -2 + 1.5. Let x = 37\/4 + -19\/2. Sort x, p, -4 in decreasing order.\nAnswer: x, p, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 310336.1 + -106.\nAnswer: 310230.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 10*r - 17*r for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -2204561\/48 + 45930. Let q = z - 45\/16. Find the common denominator of -29\/6 and q.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -2.45 times -0.105\nAnswer: 0.25725","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 205002711 and 1131.\nAnswer: 87","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 2622, 5086, 7550, 10014?\nAnswer: 12478","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 72 - 296. Let k = -224.2 - r. Which is the nearest to 0.1?  (a) -2  (b) -8  (c) k\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 49 - 21 - (14 + -2)\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 > 10\/69?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1c (base 16) in base 14?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -10084*g**5 + 339*g**2 + 7464264*g + 4?\nAnswer: -201680*g**3 + 678","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.1, 5, 0.22 in descending order.\nAnswer: 5, 0.22, -0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -10 + 9.8. Let g = 0.23 - -0.17. Put i, g, -1\/3 in ascending order.\nAnswer: -1\/3, i, g","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 3922 - 3885. Solve -o*x + 35*x = -g - 3, -4*g - 4*x = -36 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(12) - -2*sqrt(12))**2 + -5 - sqrt(12).\nAnswer: -2*sqrt(3) + 103","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 59041 is divided by 18?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 415305, 414575, 413847, 413121, 412397, 411675, 410955?\nAnswer: 410237","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 104 + 4\/(-14) + (-2)\/(-7).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-a**2 - 2*a**2 + 5*a**2)*(0 + 0 - 2*a) - 2*a**3 + 2*a**3 + a**3 - 4*a**3 - 28*a**3 - 16*a**3 + 4*a**3 - 3*a**3 - 4*a**3.\nAnswer: -54*a**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-68)\/(-20)*(-9471)\/(-4879)?\nAnswer: 33\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify g\/g**(-25)*g**(-15)\/g assuming g is positive.\nAnswer: g**10","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 8881700?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6202.\nAnswer: 2, 7, 443","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -56, -459, -1548, -3665, -7152, -12351, -19604, -29253?\nAnswer: -41640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 11*n**3 + n + 667.\nAnswer: 33*n**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of 2029, 3747, 5465?\n\"Answer: 1718*o + 311","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 83 + -83.001424. Round y to 4 dps.\nAnswer: -0.0014","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 322712 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4389 and 1476965?\nAnswer: 133","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 692 minutes before 12:03 PM?\nAnswer: 12:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) be the first derivative of -4*c**3\/3 - 380*c**2 - 36100*c + 407. Suppose m(s) = 0. Calculate s.\nAnswer: -95","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 7*s**2 - 4*s**2 + 3*s**3 + 0*s - 1 - s. Let k be r(2). Is 260\/22 - (-6)\/k a multiple of 12?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -142739531\/193013904 + 1\/1010544. Let y = 2\/191 - h. Let t = -3.92 + -0.08. Which is the smallest value?  (a) t  (b) 0.4  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -3, 4, -58, -1, 1\/3?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -163.6 - -159.6. Which is the second smallest value?  (a) l  (b) 6  (c) 3\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 1.3 and -1.175.\nAnswer: 0.125","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2076972 is divided by 2853?\nAnswer: 2841","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w - 544 = -64. Let h = w - 12. What is the tens digit of (h\/8)\/((-1)\/(-6))?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -318*m + 780*m - 22*m**3 + 24*m**3 as k*m**2 + i*m**3 + u*m + t and give i.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1\/2 in -2, 5, 5.9, -4, -4594\/5, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put -7, -4, -38 in increasing order.\nAnswer: -38, -7, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 7.9 + -8. Let y be -1 + 3 - 20\/11. Which is smaller: i or y?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(p) = -p**3 + 2*p + 1. Let k be f(-2). Let q = -0.02 + 0.02. Let i = -2 + q. Which is the second biggest value?  (a) i  (b) 0.3  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 + 120010202?\nAnswer: 120010210","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 3951 - 11852 - 13*q + 3953 + 3948.\nAnswer: -13*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.6 times -31?\nAnswer: 18.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 100 divided by -50.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = -868*g - 196. Let z(b) = -48*b - 1. Let h(t) = -q(t) - 5*z(t). What is the first derivative of h(k) wrt k?\nAnswer: 1108","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 273241784?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 0.4 and -3.04?\nAnswer: -1.216","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(o) = 2*o**2 - 3*o - 4. Let y(x) = 3*x**2 - 4*x - 5. Let c(k) = -4*q(k) + 3*y(k). Let v be 361\/(-2) + (-39)\/(-26). Let j = -177 - v. What is c(j)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -9*u + 132*u - 27*u.\nAnswer: 96*u","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is 185 a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) be the third derivative of -o**5\/60 + o**4\/3 + o**3\/2 - 101*o**2. Suppose 3*d - 4*y = 4*d - 25, -4*y + 15 = -d. Is 5 a factor of p(d)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -8.041253 rounded to the nearest integer?\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -16*t + 580 - 660 for t.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -0.38 + -72.62. Let f = -66.8 - q. Let o = -6 + f. Which is the smallest value?  (a) 3\/4  (b) -2  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 271 (base 10) in base 9?\nAnswer: 331","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*((sqrt(700)*-2 + sqrt(700) - ((sqrt(7) - (5 + sqrt(63) - sqrt(7))) + sqrt(7)))**2 - (sqrt(49)\/sqrt(175) + sqrt(56)\/sqrt(32))).\nAnswer: -2014*sqrt(7)\/5 + 2900","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 1 m when two letters picked without replacement from mobom?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Factor -9938375 + 138675*c - 140*c**2 + 10465*c**3 - 10464*c**3 - 505*c**2.\nAnswer: (c - 215)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -18940, -37926, -56912, -75898, -94884, -113870?\n\"Answer: -18986*n + 46","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = 5*m**3 - 23*m**2 - 31*m - 64. Let z be q(6). Let x = -5 + 0. Which is the smallest value?  (a) x  (b) 0  (c) 2\/3  (d) z\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -132*x - 48. What is the hundreds digit of s(-4)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 121*d - 116*d = 275. What is the remainder when d is divided by (110\/(-12) + 1\/(-3))*-2?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 14505 to the power of 1\/2, to the nearest integer?\nAnswer: 120","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 19589 is divided by 129?\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 49294719, 49294721, 49294725, 49294731?\nAnswer: 49294739","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 78.89364 centuries in millennia?\nAnswer: 7.889364","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -1  (b) -2  (c) 6.7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 16 and 63524?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 2, s: 3, i: 1, q: 4, w: 7}. What is prob of sequence esss?\nAnswer: 1\/4760","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -20*c**3 - 413887*c + 106738454 wrt c.\nAnswer: -60*c**2 - 413887","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = -4*w - 6. Let n be s(3). Is 13 a factor of (-3)\/n - (-125)\/6?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y - 100 = -9*y. Let l = 11 + -6. Let f = l - 3. Solve f*t = -t - 4*i + y, -5*i = -2*t - 14 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) be the first derivative of 0*u + 1\/2*u**6 - 2 + 0*u**4 + 1\/2*u**2 + 0*u**5 + 0*u**3. Find the second derivative of y(d) wrt d.\nAnswer: 60*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1432283 * 16\nAnswer: 22916528","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 183 + 2\/(-1) + 1. Let k = -325 + 649. Let m = k - w. Is m composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 846581.4 micrograms to kilograms.\nAnswer: 0.0008465814","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d(p) = -p**2 + p + 320. List the prime factors of d(0).\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 828?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27738 + 51*a**3 + 133*a**3 - 27747.\nAnswer: 184*a**3 - 9","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(171))**2 - (sqrt(19) + (sqrt(171))**2 + 4).\nAnswer: -sqrt(19) + 2561","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -i**2 + 4*i**2 - 6 - 3*i**3 + 6 wrt i.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {x: 1, w: 6, a: 3, e: 3}. Give prob of sequence wae.\nAnswer: 9\/286","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 602967 (base 11) in base 14?\nAnswer: 1b3790","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a week in minutes?\nAnswer: 6048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -184167, -736595, -1657281, -2946231, -4603451, -6628947?\nAnswer: -9022725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 6664759 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -v**2 + 1576828*v + 149807685 = 0 for v.\nAnswer: -95, 1576923","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-204)\/(-48) - (-2)\/(-8). Suppose 0 = 5*b - k + 94, 2*b - 4*b - n*k = 20. Round b to the nearest ten.\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 133 and 1216.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put 13, 8\/3, -9.26 in decreasing order.\nAnswer: 13, 8\/3, -9.26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 150*r - 132*r - 64 - 116. Solve 108 = r*u + 26*u for u.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**3 - 9*j**2 - 14*j + 9. Is m(11) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + 1*sqrt(44) - ((sqrt(539)*-2 + -3)**2 + sqrt(539)).\nAnswer: -2166 - 89*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:20 AM and 1:27 PM?\nAnswer: 127","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes before 10:33 AM?\nAnswer: 12:03 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3.3?  (a) 2  (b) 5  (c) 4\/7  (d) -1\/29371\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -244 = -8*o + 44. Is 36 a factor of o?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3236729 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Factor 4*c**4 - 172*c**3 + 332*c**2 - 164*c.\nAnswer: 4*c*(c - 41)*(c - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -155252\/5 + 31050. What is the third smallest value in -5\/33, h, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 0 + (4*(0 + sqrt(320) + 5)*-5 - (2*(sqrt(320) + 1)*5 + -5)).\nAnswer: -240*sqrt(5) - 105","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -19, -68, -151, -268, -419?\nAnswer: -604","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-818)\/(-672) - 7\/21. Let b = -5\/16 + s. Is -0.1 > b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1986*l + 284 + 280 - 561 in the form n + m*l and give n.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2286253*z**3 + 288078*z**2 - 76*z wrt z?\nAnswer: -13717518","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is -44219403 < -44219404?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 30 + -8. Suppose 0*j = -j + p. What is the units digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-52)\/((76\/(-76))\/(4\/4))\nAnswer: 52","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find v, given that 5*v**3 + 8470*v**2 - 25475*v - 33940 = 0.\nAnswer: -1697, -1, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -1873 - -1878. What is the nearest to -1 in o, 60, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -4.5 - -4. Let h = -24.7 + 25. Which is the second smallest value?  (a) h  (b) q  (c) -0.4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*o - 2*o - 3*c = -103, -29 = -3*o - 402*c + 401*c for o.\nAnswer: 8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 72 - 70. Suppose -2*i + 14 = h, i - z = h - 4*h. Solve 0 = -4*p - 0 + i for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 333*v**2 + 16*v**3 - 1947*v**2 + 808*v**2 + 806*v**2.\nAnswer: 16*v**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -4 + 23486?\nAnswer: 23482","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is one quarter of a litre in millilitres?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.116?  (a) -2  (b) -18  (c) -1448\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*g = -4*x - 2, -2*x + x = -3*g - 3. Let i = -3 + x. Let w = i + 13. Calculate the highest common factor of w and 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 6 + (3 - 7) - 4. Let d be -4*1 + (-2)\/z. Which is the nearest to -2\/5?  (a) 8  (b) d  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -5888 - -5888.4. Let w be 2\/(-4) + 12*-1. Which is the biggest value?  (a) -0.5  (b) w  (c) q\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 413 is divided by 16?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:34 AM and 1:11 PM?\nAnswer: 337","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -158 + 285. Suppose -u = 3*k - 77, -6*k + k + z = 2*u. Suppose -92 = -29*j + k*j. List the prime factors of j.\nAnswer: 2, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.21  (b) 13  (c) 4  (d) -2\/5  (e) 2097\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is 715 minutes before 1:52 AM?\nAnswer: 1:57 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let w(b) = -b**3 + 3*b**2 + 3*b + 6. Calculate w(4).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 3*b - 15 = -2*n, -b = 2*n - 21. Suppose -v = v - n. Let f(z) = -z**3 + 4*z**2 + 7*z - 7. What is the units digit of f(v)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 138, 549, 1226, 2175, 3402, 4913?\nAnswer: 6714","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Do 1862 and 4\/5 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*a - 4 = 6. Suppose -3*b + 5*i = 25, 2*i - 10 = 2*b + b. Sort b, a, 3 in ascending order.\nAnswer: a, b, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 7.98 - 172.98. Let g = 165.0101 + r. What is g rounded to 3 dps?\nAnswer: 0.01","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -107*l**2*o*s - l**2*s - 806*l**2 + 814*o*s + 33*o wrt s.\nAnswer: -107*l**2*o - l**2 + 814*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -1965 - -3257. What is the hundreds digit of s?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -671*q**2 - 6*q - 14982 wrt q?\nAnswer: -1342*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-y**2 + 14 - 14 - y**4)*(-16 + 4 + 63)*(1 + 2 + 0) + (-3*y**3 + 4*y**3 - 2*y**3)*(-y + y + 2*y).\nAnswer: -155*y**4 - 153*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*d**2 + 2*d - 2*d + (-d - 2*d + d)*(2 - 2 + 5*d).\nAnswer: -7*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -162*b - 24*b + 618 = 20*b for b.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (2 + 0)*10\/5. Differentiate 4*y**w + 4*y**4 - 6*y**4 + 3 with respect to y.\nAnswer: 8*y**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 187 divide 8041?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 4 - (25\/10 - (-12)\/(-4)). Find n such that -3\/4*n - 33\/4*n**3 - 9\/2*n**4 - o*n**2 + 0 = 0.\nAnswer: -1, -1\/2, -1\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 5) to base 13.\nAnswer: -5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(n) = -11*n - 3. Let t be k(-2). Find the second derivative of -2*l**3 - t*l + 1 + 21*l - 1 wrt l.\nAnswer: -12*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 313213032 - -21111?\nAnswer: 313300203","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: ((-72)\/90)\/(2\/(-10))\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 8  (b) -3  (c) -12.17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 8\/25 of a kilometer?\nAnswer: 320","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(k) = 9*k**2 - 2*k - 35. Let x(v) = 3*v**2 - v - 12. Let n(a) = 6*g(a) - 17*x(a). Calculate the remainder when n(-5) is divided by 1 - -13 - -1 - 0.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 38061509413 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*m**5 + 2914*m**4\/3 + 19246*m**3\/3 + 41254*m**2\/3 + 9580*m = 0. Calculate m.\nAnswer: -479, -3, -2, -5\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -0.01 + 0.03. Let q = i + -0.02. Which is the third biggest value?  (a) 0.4  (b) -0.4  (c) q\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -725976 rounded to the nearest ten thousand?\nAnswer: -730000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: (29370\/440 + -71)\/(1\/(-12))\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**(-7\/3)*z)\/(z*(z*z\/z**(1\/13)*z)\/z)*(z**(2\/5))**(-25) assuming z is positive.\nAnswer: z**(-517\/39)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5 + -3. Suppose 3*n + 2*f = 2, -y = -4*n - 3*f + 1. Suppose n = -4*x - x + 25. What is the smallest common multiple of x and 8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*u + 0*u = 0. Suppose u*s = -s + 20. Solve -2*q + s = 3*q for q.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -17.14 to zero decimal places.\nAnswer: -17","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 3299 + 188*p + 5580 - 90*p - 100*p - 1107 to l*p + y and give y.\nAnswer: 7772","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 6, p: 4, f: 2}. What is prob of sequence sfss?\nAnswer: 2\/99","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*b - 4 - 16. Let o be -4*-4*b\/32. Put -4, 2, o in descending order.\nAnswer: 2, o, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 1 + 1022133?\nAnswer: 1022200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 0.03 and -64776.\nAnswer: -1943.28","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1286*a = -6165*a + 302498 for a.\nAnswer: 62","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(c) be the second derivative of 0 + 1\/15*c**6 - 1\/6*c**4 - 1\/10*c**5 - c + 1\/3*c**3 + 0*c**2. Factor p(t).\nAnswer: 2*t*(t - 1)**2*(t + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 0 + (18 - 4) - 10. What is the greatest common divisor of s and 5756?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 266 - -3?\nAnswer: 269","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 429332 to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 < 1\/134?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*b**2*q**3 + 15*b**2*q**2 + 2958*b**2*q + 26*q**2 wrt q.\nAnswer: 12*b**2*q + 30*b**2 + 52","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z(v) = 9*v + 7. Let o be z(-6). Suppose 0 = 3*q - 14 + 98. Let d = q - o. Is d a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1749\/636*252\/594?\nAnswer: 7\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.8 and -8332058984.\nAnswer: -8332058984.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 8 a factor of 616?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 y and 1 k when three letters picked without replacement from {y: 3, k: 11}.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-14)\/49 + 16\/7?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*k - 14 - 7. What is the lowest common multiple of k and 7?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 w, and 1 a when three letters picked without replacement from {a: 4, w: 7, n: 2}.\nAnswer: 28\/143","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1196836*n**2 + 122101340*n + 3114198025 = 0 for n.\nAnswer: -55805\/1094","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p**(2\/13)*p**(1\/4))\/(p**0\/p)**(-46)*(p\/((p*((p**(-2)\/p*p)\/p)\/p)\/p*p)*p**(-5)\/p)\/(p*p\/(p**(1\/4)\/p)*p)**(-2\/3) assuming p is positive.\nAnswer: p**(-2345\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 0.075 + -37.075. Let v = w + 37.1. What is the closest to 1 in v, -4, 2\/7?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -14 + 13.7. Let r = d + 0. Which is the smallest value?  (a) 2\/9  (b) -2\/19  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2013675576 divided by -4\nAnswer: -503418894","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) be the second derivative of -c**3\/3 - 8*c. Let t(g) be the second derivative of g**3 - 9*g. Give f(t(q)).\nAnswer: -12*q","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 0.5 + -0.3. Let z = 1265\/123 - 31\/3. What is the third smallest value in y, z, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/3002 greater than -130?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*j - 8*c + 863 = -12*c, 2*j = 5*c + 580. What is the hundreds digit of j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 3979 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 1309?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 24659 is divided by 402.\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Expand 12*m**5 - 371*m + 371*m + (-1 + m**2 + 1)*(0*m + 2*m**3 + 0*m).\nAnswer: 14*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -317.12 - -327. Let g = u - -0.12. Let a be (-18 - -16) + (-6)\/(-1 + -1). What is the smallest value in -3\/8, a, g?\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 52399775?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -20148864 divided by 419768.\nAnswer: -48","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 - 12*h + 5*h - 17*h)*(-h + 4*h - 2*h)*(2*h + 0*h - 3*h + 3 - 3 + 2*h + (-3*h + 4*h - 2*h)*(-1 + 1 - 1) + 6*h - 3*h + 0*h).\nAnswer: -120*h**3 + 5*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14220?\nAnswer: 2, 3, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: -593 (base 12) to base 4\nAnswer: -30333","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 1c + -aed65?\nAnswer: -aed48","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Express (a - a + 4*a + (1 + 4 - 3)*(-2 + 2 + 2*a) - 3*a - a + a)*(1 + a - 1)*(-3 + 8 + 0) in the form f + p*a + q*a**2 and give q.\nAnswer: 25","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 102635 to the nearest integer?\nAnswer: 47","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 2160572029 to the power of 1\/2, to the nearest integer?\nAnswer: 46482","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1860000 = 4*b - 2*b. Round b to the nearest 100000.\nAnswer: 900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*p = -13450 + 1195. Suppose p = -70*u + 73*u. Suppose 4*l - 923 = -5*a - 130, 5*a - 4*l = u. Does 9 divide a?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -41 (base 11) in base 9?\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 25 + -22 - (0 - -4 - 0)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out -69.8630074761 - 51.\nAnswer: -120.8630074761","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -820.2 minus 4?\nAnswer: -824.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(t) = t + 2. Let m(a) = a + 3. Let d be m(-3). Let l be -5*(-1 + d\/(-2)). Is f(l) a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(t) = 8*t**3 + 6*t**2 + 7*t + 5. Let l(q) = -7*q**3 - 5*q**2 - 6*q - 4. Calculate 4*i(f) + 5*l(f).\nAnswer: -3*f**3 - f**2 - 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 6668 to the power of 1\/2, to the nearest integer?\nAnswer: 82","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 20*u - 9 + 13 + 14*u - 41*u.\nAnswer: -7*u + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1205, -1692, -1455, -488, 1215, 3660, 6853, 10800?\nAnswer: 15507","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.069200296 to 4 decimal places.\nAnswer: -0.0692","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 201 - 121100122100?\nAnswer: -121100121122","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (16*w - 23*w - 86*w)*(-3*w**3 + 0*w**3 + 0*w**3).\nAnswer: 279*w**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-7 - (0 + -1)) + 2. Let x be 2\/o + (-3)\/(-6). What is x rounded to the nearest one hundred thousand?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -1580*u**3 - 528 wrt u.\nAnswer: -4740*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 34 (base 15) in base 11?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (2\/(-1))\/(-1 + 1295\/1293). Let s = -918 - x. What are the prime factors of s?\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 597593869 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is -3690 equal to -2975?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: What is 3548787 to the power of 1\/10, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -56, -5 in increasing order.\nAnswer: -56, -5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fri when three letters picked without replacement from {n: 1, f: 2, p: 2, i: 1, r: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = h + 63. Suppose -16*b = -19*b + h. Does 6 divide b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (13 + (-3)\/3)*1. Suppose o - 3*g = 7, -5*g + 0 = o - 7. Let f = k - o. Is 3 a factor of f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate j*p + 32128*j - 34655*p with respect to p.\nAnswer: j - 34655","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28*o + 92195 = 11969 - 750. What is the smallest common multiple of 30 and o?\nAnswer: 14460","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*l - 3*n = -7, -35*n + 37*n = -3*l - 2 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 186*f - 184*f - 8 = 0, -2*f + 18 = 5*v for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bby when three letters picked without replacement from {b: 2, m: 1, y: 9}?\nAnswer: 3\/220","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_test"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 2217905 is divided by 22?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*g**4\/15 + 7070944*g**3\/15 + 2083258020148*g**2\/5 - 12499569333728*g\/15 + 6249788202338\/15 = 0.\nAnswer: -1767737, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 575531 is divided by 764?\nAnswer: 239","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -919*v + 20 + 19 + 18 = 57 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 1713 and 747439?\nAnswer: 2242317","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be ((-3)\/24*-4)\/((-1)\/(-58)). Let m = f + 365. What is the hundreds digit of m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -7613, -30443, -68493, -121763, -190253, -273963, -372893?\n\"Answer: -7610*j**2 - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 458 (base 13) to base 4\nAnswer: 23231","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 2\/(-1)*66\/12. Let o = -2 + 106. Let u = -115 + o. Is u at least as big as w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -5?  (a) -2  (b) -4  (c) -61\/5  (d) 19.565\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -599.6920513 to one dp.\nAnswer: -599.7","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -23625240 (base 7) to base 15\nAnswer: -2b96b3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0003839 to four decimal places.\nAnswer: -0.0004","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.109181283 to three decimal places.\nAnswer: 0.109","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -4 + 34. Let m = -34.4 + l. Let d = m - -4.28. Put d, 2\/7, 0.1 in increasing order.\nAnswer: d, 0.1, 2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -h**5*k - 559*h**4*k**3 - 1641*h*k**3 + h*k**2 wrt h.\nAnswer: -20*h**3*k - 6708*h**2*k**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -7*g*t*v - g*v + t*v**2 + t - 110*v**2 wrt t.\nAnswer: -7*g*v + v**2 + 1","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -161556.3 + -454.\nAnswer: -162010.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3*(-1 + sqrt(3) + 5)*-4*5.\nAnswer: -240 - 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1700*f**3 + 5090*f**3 - 1695*f**3 - 1694*f**3.\nAnswer: f**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the third derivative of -w**7\/70 + 23*w**6\/120 - 271*w**5\/60 + 396*w**2. Find the third derivative of t(i) wrt i.\nAnswer: -72*i + 138","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -13969, -55874, -125715, -223492, -349205?\n\"Answer: -13968*a**2 - a","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, 16, -1, 1 in increasing order.\nAnswer: -3, -1, 1, 16","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**3 - q + 96. What is the units digit of c(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from bapajpfjtbfabja. What is prob of picking 1 p and 3 j?\nAnswer: 2\/1365","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = l**3 - 1327*l**2 - 5337*l - 63. Give h(-4).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Factor r**2\/4 - 15621*r\/4 - 8046538.\nAnswer: (r - 17464)*(r + 1843)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*p + 2525 - 933 = 0. What are the prime factors of p?\nAnswer: 199","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.51 * 35967.\nAnswer: -54310.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -209202 divided by 1.\nAnswer: -209202","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 4, t: 6}. What is prob of sequence ii?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 38707218 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 1, l: 1, e: 1, r: 1, d: 1, x: 6}. Give prob of sequence oe.\nAnswer: 1\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -1 - (0 + (0 - 3)). Suppose -3*i - 5*a = -42, 3*i - 21 = -3*a + 5*a. Calculate the lowest common multiple of i and 2 - (-20)\/8*w.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of 29, 62, 95, 128?\n\"Answer: 33*d - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 227921 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b - 5*y = -3*y - 135, b = -y + 44. Is (b + (-12)\/(-3))\/1 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = t**2 - t - 6. Let s be (-6)\/27 - (32\/18 - 2). Suppose 0 = -2*i + 2, s = 3*n + n + 2*i + 6. Let q be x(n). Let g(m) = m**2 - m + 4. Determine g(q).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -j**4\/5 + 1751*j**3\/5 + 93342*j**2.\nAnswer: -j**2*(j - 1986)*(j + 235)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let o be -2 + (-3)\/(12\/(-314)). Let g = -73 + -2. Let b = g + o. Is 1 greater than b?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) be the second derivative of -1\/36*f**4 + 0*f**3 - 1\/2*f**2 + 0 - 1\/90*f**5 - f. Let t(q) be the first derivative of b(q). Factor t(l).\nAnswer: -2*l*(l + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (1 - 2\/1) + 17. Let i be 60\/r + (-2)\/(-8). Suppose -12 = -4*t + i. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2468.7 + -2469. Which is the nearest to 2?  (a) 5  (b) 3\/5  (c) y\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -10243 + 10244. Which is smaller: 2\/9297 or a?\nAnswer: 2\/9297","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -7*a*v**3 - a*v**2 + a + 159*v**2 + 24252*v wrt v?\nAnswer: -42*a*v - 2*a + 318","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 133420637?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is -7638686500 rounded to the nearest 1000000?\nAnswer: -7639000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(6)\/sqrt(2))**2 - sqrt(3))*5*-1 - ((sqrt(27) + -1)*5)**2 - ((3 + sqrt(48))*4 + (3*sqrt(96))\/sqrt(2))**2.\nAnswer: -3211 - 517*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (-3 + sqrt(2736))**2.\nAnswer: -72*sqrt(19) + 2744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 248 - -847. What are the prime factors of o?\nAnswer: 3, 5, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/4696210 < -1?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o + 2*f - 34 = -42, 22 = 4*o + 2*f for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sum 0.65 and 1.156.\nAnswer: 1.806","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 394 + -267. Is h composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 190 divide 56755?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 744.00000554 + -744. What is b rounded to five dps?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -9327, -74962, -253111, -600030, -1171975, -2025202, -3215967?\nAnswer: -4800526","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 63550493527 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Add 14203258 and 27150.\nAnswer: 14230408","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1375 is divided by 81.\nAnswer: 79","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve a + 750*y = -748*y + 1500*y + 7, a = -3*y + 7*y + 15 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 20 and 48?\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 209723, 837702, 1884333, 3349616?\nAnswer: 5233551","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {s: 3, q: 2, j: 2, u: 6}. What is prob of picking 2 j, 1 s, and 1 u?\nAnswer: 18\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/2132, -1\/2, 2.2 in increasing order.\nAnswer: -1\/2, 1\/2132, 2.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.3 + -0.2. Let b be -3 + 1 + 4\/1. Let r be b + -1 - (-2)\/(-3). Sort o, -3\/2, r in descending order.\nAnswer: r, o, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 6 - -1 - (44 - (80 + -45))?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 90366.13mm in micrometers?\nAnswer: 90366130","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 344*f**3*k**2*l*q - f**3*l + 893*f**3*q - 27*f**2*k*l*q + 2*f**2*l - 418*f*k**2*l - f*k*l*q + 42*k**2*l*q wrt f?\nAnswer: 2064*k**2*l*q - 6*l + 5358*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5 - -9. Suppose -5*t + 27 = x, 0 - 8 = -w*x. Put 4\/7, -1, t in ascending order.\nAnswer: -1, 4\/7, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve l**3 + 3\/2*l**4 - 2 - 9\/2*l**2 - 6*l = 0 for l.\nAnswer: -1, -2\/3, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**3 + 59*n**2 - 69*n - 501. Let h be c(-60). Solve -h*v - 118 = 38 for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -12?  (a) -7722  (b) 1\/2  (c) -36  (d) 2\/9\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 79, 136, 195, 256, 319?\n\"Answer: g**2 + 54*g + 24","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -98, 2, 8 in descending order.\nAnswer: 8, 2, -98","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -6.12 - -10.12. Which is the nearest to 5?  (a) n  (b) -3  (c) -2\/7  (d) 4\/11\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (9\/(6075\/60))\/(6\/(-15)).\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1, 0, 11122, 5 in descending order.\nAnswer: 11122, 5, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 4*i. Let w(a) be the third derivative of -5*a**4\/24 - 17*a**2. Let q(n) = -3*u(n) - 2*w(n). Calculate q(-1).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 21123850 to the nearest 100000.\nAnswer: 21100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2485 or -506\/73?\nAnswer: -2485","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rg when two letters picked without replacement from {i: 2, w: 1, z: 2, s: 1, g: 1, r: 2}?\nAnswer: 1\/36","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 0 + -11c1?\nAnswer: -11c1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the second derivative of 1\/21*p**4 + 4\/21*p**3 + 2\/7*p**2 + 0 + 31*p. Determine l so that v(l) = 0.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((-12)\/(-16))\/(((-3)\/1)\/(-56448)). Suppose 7*n + q = n. Let l be n\/702 + 3 - (-2)\/6. Which is smaller: l or 1?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 53.08  (b) -7  (c) 1  (d) 4  (e) 3.9  (f) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 10.323 + 0.677. Sort 0.3, 1, 0.5, p in decreasing order.\nAnswer: p, 1, 0.5, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 2142, 2160, 2178, 2196?\n\"Answer: 18*g + 2124","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 17\/1350 and -83\/9898250?\nAnswer: 267252750","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -71\/102 + 10\/51. What is the closest to k in -5, 5, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange r + r + 0*r - 41*r + 5*r + 21*r + (1 - 2 + 0)*(2*r - 4 + 4) to x*r + h and give x.\nAnswer: -15","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 52?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 133399.42 to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t = -0*t. Let g(c) = c**2 + 3*c - 1. Let m be g(-4). Solve -5*l = t, -4*h - m*l = 2*l for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 times 0.3?\nAnswer: 21.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -290, -307, -352, -431, -550, -715?\n\"Answer: -h**3 - 8*h**2 + 14*h - 295","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -22, -27, -32, -37, -42?\n\"Answer: -5*i - 17","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 2580670?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 767912?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -5, -1, 4, -589, 2 in decreasing order.\nAnswer: 4, 2, -1, -2, -5, -589","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 0.3 - 0.8. Let u = -1417.4 - -1417.6. Which is the biggest value?  (a) u  (b) n  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -c - 1. Let u be d(3). Let g(k) = k**2 + 4*k - 1. Let m be g(u). List the prime factors of (47 + m)\/(-2 + 4).\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 3\/4  (b) 947  (c) 8  (d) 0.15\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose w = -5*w. Let z be w - ((-244)\/460 + 4\/10). Which is greater: -1 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 428 divide 53784556?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 58005?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3*(-3 + 2*-2*sqrt(208)*4))**2 + 0.\nAnswer: 3456*sqrt(13) + 479313","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = 88*j + 5735. Give o(-65).\nAnswer: 15","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from mmmuummmm. Give prob of picking 1 u and 1 m.\nAnswer: 7\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 2, g: 9}. Give prob of picking 1 g and 1 e.\nAnswer: 18\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 2664361 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 32*h**3 + 58*h**3 - 13*h**3 + 55*h**3.\nAnswer: 132*h**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: 0.31 + 1.013149\nAnswer: 1.323149","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*g - g. Let b = -65 + 65. Suppose y + 0*y - 4*f - 18 = b, -4*y = 5*f + 12. Solve g = -6*t + y*t + 4 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 81*z**2\/2 + 351863*z - 8688.\nAnswer: (z + 8688)*(81*z - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the first derivative of h**3\/3 - 65*h**2 + 4225*h + 170. Find l such that p(l) = 0.\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*k + 43 - 3. Suppose -159 - 121 = k*s. Round s to the nearest ten.\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {c: 2, o: 10}. What is prob of sequence cc?\nAnswer: 1\/66","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 13\/8 of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 16*u + 3. Let n be y(-2). Suppose -g - 3 = 4*r + 11, 3*r + 51 = -3*g. Let b = g - n. List the prime factors of b.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -6557, -13223, -19887, -26549, -33209, -39867?\nAnswer: -46523","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = 55*j + 86. Let u(i) = -63*i - 91. Let x(q) = -9*p(q) - 8*u(q). What is x(4)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = g**3 - g**2 - g - 2. Let w(d) = -d + 10. Let o be w(8). What is u(o)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 3 + 874327*h**3 - 874325*h**3 - 29*h**2 + 3*h in the form o*h**3 + t*h**2 + q + k*h and give o.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r\/r**(-29))\/r*r**7\/r assuming r is positive.\nAnswer: r**35","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/7 in 0.2, -5, 0.18?\nAnswer: 0.18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 37\/279 + -2\/93. Which is the closest to -110?  (a) n  (b) 4\/9  (c) -2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s + 2*n - 18 = 0, -s - 2*n + 6*n = 14 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*q - 2*r + 525 - 558, -4*q = -253*r - 3538 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.5, 3, 0.12, 2\/5, 4 in increasing order.\nAnswer: 0.12, 2\/5, 0.5, 3, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (81446 - 3937*f - 81446)*(f - 1 + 1) to z + v*f**2 + h*f and give v.\nAnswer: -3937","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -3 + 2. Let w(t) = t - 1. Let k(r) = 3*r - 4. Suppose 4*i - 3*u - 4 = -0, 2*i - 2*u = 2. Let x = 5 - i. Determine h*k(z) + x*w(z).\nAnswer: z","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3\/19?  (a) 0.24  (b) -1.5  (c) -11.29\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.001458 to five dps.\nAnswer: -0.00146","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*u + u + 4*l = -58, 151 = 4*u - l. Let s = 36 - u. Sort 4, 0, s, -33 in ascending order.\nAnswer: -33, s, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be -2 + 3 + 1 + 3. Let n(w) = -6*w + 34 + z*w - 36. Determine n(2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 1802\/53 + 9 + -42. Let w = 1 - -1. Solve w*h + k + 7 = 0 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*n = n. Suppose -b + 2 = -n*b. Suppose -4 = -b*x + 6. What are the prime factors of x?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((w**(4\/23)\/w)\/(w*(w\/(w*w*(w**6\/w)\/w))\/w))**(-7))**(-4\/9) assuming w is positive.\nAnswer: w**(896\/69)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 160?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/514?  (a) 3  (b) 1  (c) 0.2  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) be the third derivative of -c**6\/120 - c**5\/60 + 2*c**4\/3 - 10*c**3\/3 + 38*c**2 + 1. Solve b(k) = 0 for k.\nAnswer: -5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 + 11. Let w(a) be the third derivative of 0*a + 0*a**p + 2*a**2 + 0*a**5 + 0 - 1\/420*a**6 + 0*a**4. Factor w(q).\nAnswer: -2*q**3\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 110835468?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r\/(r*(r**(-4\/11)\/r)\/r*r))\/(r**(5\/6)\/r))\/((r*((r\/(r\/r**(1\/30))*r*r)\/r)\/r)\/(r*r**(-9\/4))) assuming r is positive.\nAnswer: r**(-497\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 421088 to the power of 1\/3, to the nearest integer?\nAnswer: 75","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14*c + 12*c - 244000 = 0. What is c rounded to the nearest ten thousand?\nAnswer: -120000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 1060 to the nearest integer?\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve 42728 = -186718*j + 186326*j for j.\nAnswer: -109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 887498527 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 522 - 834. List the prime factors of i\/(-16)*(-8)\/(-6).\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -996 - 1505160?\nAnswer: -1506156","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*q + 0*q = 0. Let f = 2 - q. Suppose -c = f, 26 = 5*i - 4*c + 3. Solve 0*b = i*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 174, 168, 148, 108, 42?\n\"Answer: -u**3 - u**2 + 4*u + 172","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*s - 14755 = -6274 + 35005. Calculate the remainder when s is divided by 11.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 3?  (a) 0.5  (b) -0.2  (c) 0  (d) 17\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*q + 20 + 0 = 0. Suppose 0 = -3*p + 4*p. Let m be p\/q + -4 + -1. What is the second smallest value in m, 5, -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:35 AM and 11:50 AM?\nAnswer: 195","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (1 + -8)*(-114)\/21. Calculate the greatest common factor of a and 646.\nAnswer: 38","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4 a factor of 10532300?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 6*r**3 + 16*r**2 + 2*r - 26. Let q(m) = 8*m**3 + 17*m**2 + 3*m - 26. Let j(f) = -2*q(f) + 3*v(f). What is the derivative of j(u) wrt u?\nAnswer: 6*u**2 + 28*u","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-1)\/(2\/(0 - 8)). Suppose -p*o = -5 - 7, -3*a + 3*o = 0. Suppose 0 = -5*g + 2 + a. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from dmmdm. Give prob of sequence mmdm.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: -203003 (base 6) to base 15\nAnswer: -4c03","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i = 0, 0 = 2*c + i - 0 + 128. Suppose -129 = -0*o - o + 3*w, w - 230 = -2*o. Let q = o + c. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -1024 + 0*l + l**3 + 1028 + l + 4*l**4 + l**3 - 3*l in the form r*l + d + i*l**4 + q*l**2 + j*l**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 28 divide 132553777?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l(q) = -q**3 - 11*q**2 + 2*q - 10. Let t be l(-12). What is the remainder when 391 is divided by t\/8 - 3\/(-12)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_test"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*z = r + 389260 + 683613, 0 = -2*z - 3*r + 429122. Is z a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 16 + -27. Let b = z - -17. Let l = b + -6.0011. What is l rounded to four decimal places?\nAnswer: -0.0011","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 0.8586 - 7.8586. Which is the third smallest value?  (a) -3\/5  (b) l  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve r - 21 = -2*s, r - 3*s + 364 = -3*r + 349 for r.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -48 - -50 - (0 - 3 - (-4 - -7)).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 9 divide 371653?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1 - 43) + 1440 + -1408.\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 961\/6 - 153. Let x = 778846 - 8559648\/11. Let q = x + -699. Find the common denominator of q and i.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7 + 10 + -4 + -21 - (-17 + 11)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*g - 4*g = 0. Suppose -5*l + 2019 + 1966 = g. Is l composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -828056 by 8.\nAnswer: -103507","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b(s) = -1273*s - 843. List the prime factors of b(-11).\nAnswer: 2, 5, 7, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1122\/775 + 91\/62. Let i(b) be the second derivative of 1\/15*b**3 - 1\/15*b**4 + w*b**5 + 4*b + 0 + 0*b**2. Factor i(x).\nAnswer: 2*x*(x - 1)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 25519?\nAnswer: 13, 151","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -3878 + 3877.9998433. Round o to four dps.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 587 is divided by 49.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:26 PM and 8:43 PM?\nAnswer: 77","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is -239\/152 equal to 0.33?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -3 + 3.4. Let p(b) be the first derivative of b**2\/2 + 3*b + 63. Let h be p(-21). What is the second smallest value in h, 4, d?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 41881268 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 139333 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 32082844 a multiple of 1052?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(m) be the first derivative of m**2\/2 + 3*m + 2. Let t be g(-2). Let a(r) = -t + 2 - 2*r + 0 - 2. Let k(p) = -2*p - 1. What is 4*a(v) - 5*k(v)?\nAnswer: 2*v + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -9, -78329, 12 in ascending order.\nAnswer: -78329, -9, 12","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 13000 + 1?\nAnswer: 13001","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-6)\/(-3)*(-5 + 2)\/1. Let m be 1\/6 + x + 6. Let h = 0.09 + 4.91. Which is the third smallest value?  (a) h  (b) m  (c) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 1 or -1744\/271007?\nAnswer: -1744\/271007","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is -689.514 rounded to the nearest 10?\nAnswer: -690","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(128)*-2*-1 - (3 + (sqrt(128) - (sqrt(128) + 0)**2)))*2.\nAnswer: 16*sqrt(2) + 250","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Determine y, given that 20*y**4\/3 - 406*y**3\/3 - 440*y**2\/3 + 31528*y\/3 - 3136 = 0.\nAnswer: -8, 3\/10, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2550332 plus -5?\nAnswer: 2550327","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 10) to base 8\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) = v**2 - v - 6. Let i be c(-3). Suppose i*n + 106 + 680 = 0. Let b = n - -188. What is the tens digit of b?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 3*v + 82. Let s be x(-26). Solve -s*y = 4*d - 20, -5*d + d = y - 20 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1*2\/1)\/((-9)\/315). Let i = -63 + y. Solve 2*x - 5*u + 18 = 0, 3*u - i = x + u for x.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (8 + 6*d - 7*d - d)*(2 - 2*d - 3 - 3) as v + k*d**2 + n*d and give k.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 39, 270, 851, 1938, 3687, 6254, 9795, 14466?\nAnswer: 20423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 975 and 117.\nAnswer: 39","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48995 is divided by 14?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1172547 is divided by 264.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0 + -5 + -6 + 15.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: 28816585.8*1\nAnswer: 28816585.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (288\/(-20))\/(-12)*(-40)\/(-12)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m + 22 = 2*v, 3*v - m = 9 + 2. Let f(y) = -y**3 + 5*y**2 + 5*y - 5. Let u be f(v). Solve 7*b + u = 3*b for b.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1449587?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10010100100100000 + -1111?\nAnswer: -10010100100101111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -72 + -3 - (5 - 4) - ((-14 - 2) + 10).\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-72*f - 101*f - 61*f)*(-2 + 2*f + 2 - f + f - 2*f + (-f + 4*f - f)*(-1 + 3 + 0) + 2*f + 5 - 5)*(-f + 3*f - f).\nAnswer: -1404*f**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 1850\/7 or 6?\nAnswer: 1850\/7","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-2\/5)\/(a*a*a**11*a))\/(a**13*a**7\/a) assuming a is positive.\nAnswer: a**(-167\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 19942*m - 179448. What is x(9)?\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -49 + 44. Let p(u) = u**2 + 5*u + 7. Let x(o) = 4*o**2 + 20*o + 28. Let n(l) = -9*p(l) + 2*x(l). What is n(w)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 193 by 193.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -0.56 + 0.5. Let n = -0.5002 + 0.2002. Let h = 0.04 - 0.04. What is the closest to h in -1\/5, n, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20621580 and 41243160.\nAnswer: 41243160","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*y + 15 = -f + 17*y + 3, 0 = 4*f - 4*y + 36 for f.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = -r - 5. Let w be k(-6). Let b(a) = 4*a + 1 - 1 - w - a. What are the prime factors of b(3)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -108214, -216717, -325220, -433723?\nAnswer: -542226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the second derivative of 2*k + 2\/3*k**3 + 0 - 1\/6*k**4 + 1\/2*k**2. Suppose 5*o - 12 = o. Give x(o).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-2*t + t + 4*t)*(7 + 2 + 1 - 1 + 0 - 1 + (1 + 3 - 2)*(1 - 3 + 3) - 6 + 1 + 4) to the form b + i*t and give i.\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = 4*u**2 - 8 - u - 6*u**2 - 3*u**2 + u**3. Let y = 36 - 30. Let w be d(y). Solve -14 = -5*l - 3*v, 0 = 4*l - v - 2*v - w for l.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 72.3 * -11\nAnswer: -795.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 9721360 to the power of 1\/5, to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out -71.43688 - 73.\nAnswer: -144.43688","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-3 - -4)*(-2)\/(-2). Let t be o*11 - (-2 + 2). Let u(x) = 11 - t + 2*x**2. Let c(f) = 3*f. Determine c(u(y)).\nAnswer: 6*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 4\/(-10)*12\/(-8). Let j = -13 + 9. What is the second biggest value in 3, q, j?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 944342390*w + 1033273061 with respect to w.\nAnswer: 944342390","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**2. Suppose -v + 5*t = -2*v - 11, 0 = -3*v - 3*t + 3. Let y(z) = -v*z**2 + 4*z**2 + 2*z**2. Calculate y(m(x)).\nAnswer: 2*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = 20*f**2 - 2*f - 15. What is the units digit of j(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 1691 to the nearest one hundred.\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9*u**3 - 6*u + 14*u**5 + 8*u**3 - 17*u**3 wrt u?\nAnswer: 280*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 276 is divided by 55.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1, 10, 21, 32, 43, 54?\nAnswer: 65","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 273, 649, 1267, 2121, 3205, 4513, 6039, 7777?\n\"Answer: -x**3 + 127*x**2 + 2*x + 145","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(i) = -15*i**2 - 6*i + 10. Let y be r(-7). Let k be y\/((-1)\/(-3) - 44\/99). Suppose 0 = -2*u + 11*u - k. Is u a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 12.13 + -8.24. Let o = z + 0.11. Suppose -4*r + 8 - 20 = -5*x, 15 = -5*r - 4*x. What is the third biggest value in r, 2, o?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 475 + -488. What is the nearest to s in -3, -0.5, 0, 1?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*d - 76 = -164 for d.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 221*d + 9345 = 488*d for d.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1.04?  (a) 0  (b) 5  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) be the first derivative of 7*d**6\/180 - d**5\/60 - d**4\/24 - 44*d**3\/3 - 42. Let c(w) be the third derivative of y(w). Is 4 a factor of c(-1)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.104086 minus 24390?\nAnswer: -24389.895914","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 44366 is divided by 44191?\nAnswer: 175","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from hohuonnnnohhnonh. What is prob of sequence oun?\nAnswer: 1\/140","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -47 + 66. Let v(d) = d - 5. Let u(z) = 3*z. Let p(x) = u(x) - v(x). Is p(r) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose u = 3*u - 18. Suppose 5*j - u = -2*w + 7, 2*j = -3*w + 13. Suppose -w*r + 2*r = -4. What is the units digit of r?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from vungudovnddvnvdouddu. What is prob of sequence du?\nAnswer: 6\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 230205\/2282 greater than 100?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1 less than 18124840?\nAnswer: 18124839","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**3 - 3*x**2 - 8. Let m be f(-4). Are m and 8 equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 7, -56\/9, -4, 2, 0.137, 0.9?\nAnswer: -4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1930?  (a) 1.3  (b) 2\/7  (c) -1.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 250 + -228.4. Let x = -22 + l. Which is the second smallest value?  (a) 4\/13  (b) x  (c) -5  (d) 2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 2, n: 2, g: 4}. What is prob of picking 2 g and 1 n?\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -17196, -2, -5536 in descending order.\nAnswer: -2, -5536, -17196","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 63873?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 365733501?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 589*y - 288 = 585*y. Does 18 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + g - 1)*(-2*g + 9*g - 7*g**2 - 6*g).\nAnswer: -7*g**3 + g**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:29 PM and 11:56 PM?\nAnswer: 387","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence yb when two letters picked without replacement from yybbyyybybyyybbb?\nAnswer: 21\/80","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) be the first derivative of -z**4\/22 + 2*z**3\/33 + z**2\/11 - 2*z\/11 - 19. Let j(g) = 0. Calculate g.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 6136?\nAnswer: 2, 13, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) = 3*y - 25. Let t(d) = -d + 8. Let v(f) = -2*r(f) - 7*t(f). What is v(0)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(7) + -5 + sqrt(7) + 0 - (4 + 5*sqrt(7) - sqrt(7)))**2.\nAnswer: 36*sqrt(7) + 109","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Express (71*b**2 - 47*b - 2 - 20*b + 68*b)*(0 - 1 + 3) as o*b + u + n*b**2 and give n.\nAnswer: 142","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the gth term of 27485003, 54970008, 82455013, 109940018?\n\"Answer: 27485005*g - 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 1341031 to the power of 1\/2, to the nearest integer?\nAnswer: 1158","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 269297.\nAnswer: 7, 17, 31, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 229568\/3441 + -56\/1147. Suppose -380\/3*d - r - 76*d**2 - 52\/3*d**3 - 4\/3*d**4 = 0. Calculate d.\nAnswer: -5, -2, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 14\/(-8)*1149\/(-2298).\nAnswer: 7\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.4, -390, -0.19, 2\/15, -1\/6 in increasing order.\nAnswer: -390, -0.4, -0.19, -1\/6, 2\/15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let c(m) = 84*m + 513. Calculate c(-6).\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 6829.682m?\nAnswer: 6829682000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*o + 349 = -11. Let d = o - -92. Suppose 2*x + 3*x = j - 5, 0 = 4*j - 4*x - 4. Solve 5*t = -g + 2*g - d, 5*g + t - 10 = j for g.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -21 or -3\/4?\nAnswer: -21","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -3.6?  (a) 0  (b) -2\/3  (c) -10  (d) 2\/9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-5)\/4)\/((-1)\/(336\/(-120)))*(-156)\/42?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in 0.29, 1, -3\/11?\nAnswer: 0.29","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 134 + -140 - (-9 - 0)\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find g, given that 0 - 2\/7*g**2 + 2\/7*g = 0.\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 139 divide 9313?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(j) = j + 17. Let g be b(0). Let n be 363 + 16\/64 + 6\/8. Suppose n - 24 = 10*u. What is the greatest common divisor of u and g?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) = 199*d**2. Let v(q) = 4*q. Give v(a(p)).\nAnswer: 796*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4750 is divided by 453.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3 - x + 5 + 2 + 4.\nAnswer: -x + 8","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-33 - (41 - 78)) + (-1 - 23)?\nAnswer: -20","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c\/(c**(-2\/5)*c*c))**(-1\/13)*c\/(c\/c**6)*c**(-6)*(c*c\/(c**(-2\/3)\/c)*c*c)**(21\/2)*(c*c\/c**(-2\/3))**(-2\/103) assuming c is positive.\nAnswer: c**(2389889\/40170)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(o) = -o**3 - 4*o**2 - 2*o - 5. Let r be (-1 + 1\/1)\/(-2) + -4. Let n be h(r). Let u be 35\/45 + (-4)\/(-18). Solve 0*b = b - l - u, b + n*l = 1 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 2*k**3 + 46*k**2 - 34*k + 11. Let b be j(-23). What is the highest common factor of b and 244?\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 2\/(-8)*(-170 - -170). Suppose 0 = 2*q - q. Suppose f = i + t - 3, q = -5*i + t - 9 + 36. Solve 5*p + i = -15 for p.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l**2 + 67*l - 66 = 0. What is l?\nAnswer: 1, 66","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1895729?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (4 - 4 - u)*(2*u**3 - 2*u**2 + 2*u**2) - 1133*u**4 - 1125*u**4 + 2250*u**4 to the form c*u + d*u**3 + m + v*u**2 + b*u**4 and give b.\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -4984*f - 5*f**2 + 2570*f + 2414*f.\nAnswer: -5*f**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 8266932.44 from -43.\nAnswer: -8266975.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2150 and 1170030.\nAnswer: 430","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -2 - -19. Suppose 2*q + 2 = 274. Calculate the highest common divisor of q and f.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = 158160*d. Let r(p) = -24*p - 105. What is r(m(g))?\nAnswer: -3795840*g - 105","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 24 = 4*w - k, 2 - 5 = w + 2*k. Suppose -w*r + 8*r - 30 = 0. What are the prime factors of r?\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (296\/(-5))\/(1\/(-5)). Let b = 257 - 116. Suppose -3*n - b + 359 = 2*k, 4*n + 4*k = u. What is the remainder when n is divided by 24?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 200.61 + -199.92. Which is the second smallest value?  (a) k  (b) -0.09  (c) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = c**3 + c**2 + c - 2. Let b be 26\/(-4) - 60\/(-40). Let h be 0\/(15\/b)*(-2)\/4. What is s(h)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 21\/24*2 - 2. Let w = -142.081 + 142. Let i = w - -0.071. What is the second biggest value in -2\/7, i, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 13 - 211?\nAnswer: -1a9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:57 AM and 12:57 PM?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(f) = f**3 + f**2 - 5*f. Let i(r) = -r. Suppose 2*h + n = -229 + 251, -5*h - 3*n = -57. Calculate h*i(g) - 2*y(g).\nAnswer: -2*g**3 - 2*g**2 + g","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -6.76 - 11.9074\nAnswer: -18.6674","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7837.\nAnswer: 17, 461","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 17\/2 of a hour?\nAnswer: 510","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 240 = 6*t + 210. Find the second derivative of -46*q**5 - q**3 - t + 8 - 26*q + q**3 wrt q.\nAnswer: -920*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*g**2\/2 + 78913*g\/2 - 118410.\nAnswer: (g - 3)*(9*g + 78940)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 71317582 is divided by 324?\nAnswer: 322","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 3481774?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*b - 164 = -3*h, 0 = -5*b + b + 2*h - 336. Let f = b - -86. Is f less than or equal to -3?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 252*w - 3 - 121*w - 132*w + 70*w**2 to l + o*w**2 + h*w and give l.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pvavw. Give prob of picking 2 w.\nAnswer: 0","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = 54348*i - 1141336. Determine v(21).\nAnswer: -28","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -185 = -6*i + 5*i. Is i a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2970758 - 1143030 = 103*i + 9*i. List the prime factors of i.\nAnswer: 16319","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 + 480*w**3 - 3 - 1 - 489*w**3.\nAnswer: -9*w**3 - 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 838161.7 millilitres?\nAnswer: 838.1617","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = 437*h + 15. Let z(v) = 28404*v + 972. What is -324*y(o) + 5*z(o)?\nAnswer: 432*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 1 z when two letters picked without replacement from {w: 3, y: 5, z: 3, u: 6}.\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -48209*c**5 - 31832*c**2.\nAnswer: -2892540*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w + 26 = 2*h - 2*w, 0 = -h + 2*w + 23. Suppose h = 2*p - 3*m, 3*m = 5*p - 9 - 6. Let a be 2 + (-3)\/((-3)\/(-2)). Solve p*d - d = a for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000438501 to 6 dps.\nAnswer: 0.000439","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) = 2*y - 5. Determine h(-3).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 18 a factor of 3*4\/(-36) + (-9076)\/(-12)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*l = -488 + 509 for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 49 + -42. Suppose g*z - 18 = 13*z. Let x be (2 - 1)\/(z + -3). Which is the third smallest value?  (a) -1\/16  (b) x  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*g**2 - 5*g**2 + g**2)*(10*g**2 + 21*g - 21*g) + 5*g**4 - 4*g**4 + 10*g**4.\nAnswer: g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:38 PM and 12:57 AM?\nAnswer: 139","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Add -2.1 and 5.3972.\nAnswer: 3.2972","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*f - p + 6, -4*f - 4*p = -0 - 8 for f.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*b - 7722 = -3*q - 3*b, 12898 = 5*q - b. Is q a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v\/(((v**(-5\/3)\/v*v*v)\/v)\/v))**(-33))**(-2\/121) assuming v is positive.\nAnswer: v**2","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u**2 + 7*u + 1. Let o be m(-8). Let p = o + 0. Let l be 3\/4*(-3)\/p. Which is the biggest value?  (a) -2\/5  (b) -1\/8  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from iiiiiiiiii. Give prob of sequence iii.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t + 2*z - 326, t = -t - 2*z + 134. What are the prime factors of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -2860, -5849, -8978, -12259, -15704, -19325?\n\"Answer: -2*m**3 - 58*m**2 - 2801*m + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Sort -15, -1\/8, 3\/2 in decreasing order.\nAnswer: 3\/2, -1\/8, -15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + 3891 + 7527 = 0. Let z = 2611 - f. What is z rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 688.3921 grams in milligrams?\nAnswer: 688392.1","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1206 a multiple of 10?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 1571 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (8 + (-2074)\/255)\/((-1)\/(((-108)\/(-33))\/4)).\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(j) = -j**2 + j + 1. Let g be p(-2). Let a be (6\/(-5))\/(g\/25). Let l = 8 + a. Is 14 at least as big as l?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -4393, -4479, -4577, -4693, -4833, -5003, -5209, -5457?\nAnswer: -5753","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -3*o**3 + 2*o**2 + o - 2. Let b be z(-1). Suppose b*n - 4 = -2. Solve -n + 6 = -m + 2*j, 0 = -3*m - 5*j - 15 for m.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -3, 57\/1073, -2, 1, 0?\nAnswer: 57\/1073","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1677205085 divided by -335441017.\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/31, -2\/7, 1, -112\/11, 3 in increasing order.\nAnswer: -112\/11, -2\/7, 2\/31, 1, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -62 - -104. Suppose 5*g + a + 45 = 3*a, -2*g + 2*a - 24 = 0. Calculate the remainder when f is divided by (-15)\/(-9)*(-4 - g).\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -j + 0*j + p - 1 = 0, -23 = -5*j - 2*p. Suppose -5*t = 2*y - 5*y + 116, j*y = t + 124. List the prime factors of y.\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 2*q**2 + 69*q + 96. Determine y(-32).\nAnswer: -64","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (18\/(9\/3))\/((-15)\/(-20)) and 2.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 4 = 16, -3*k + 5*d = 156. Find the common denominator of -36\/13 and k.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -8905 + 8905.00009586. What is n rounded to 6 dps?\nAnswer: 0.000096","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2495, 5, -7, 15.\nAnswer: -7, 5, 15, 2495","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 39083, 80805, 122527, 164249, 205971, 247693?\n\"Answer: 41722*r - 2639","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r(x) = -x**3 + 3*x**2 - 3. Let h be r(2). Put 2, 35, h in increasing order.\nAnswer: h, 2, 35","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 39 is divided by 1\/(-11)*-156 + (-14)\/77?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = b**2 + 1. Suppose 4*d = -5*y - 7, 2*y + 7 = 4*d + 21. Let r(h) = 3*h**2 - h**3 - 4*h + 3 + 5*h + 0*h. Calculate d*f(u) + r(u).\nAnswer: -u**3 + u","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 29574987.\nAnswer: 3, 13, 23, 32971","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 4697644 divided by 71?\nAnswer: 66164","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - t + 0)*(0*t - 2*t + 3*t) - 2*t - 9*t**2 - 80 - 6*t**2 + 81 + (3*t - 4*t + 0*t)*(-t + 3*t + 0*t) + 0*t**2 + 2*t**2 - 6*t**2.\nAnswer: -22*t**2 - 2*t + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 r and 3 v when four letters picked without replacement from {v: 3, r: 5, f: 1, p: 11}?\nAnswer: 1\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(j) = -106*j**2 + 58*j**2 + 47*j**2 - 17*j + 2. Let a be y(-17). What is the third biggest value in a, 0.5, 1\/6, -3\/4?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0*(-81)\/270*(-5)\/3. Let f(h) be the second derivative of -1\/40*h**5 + 1\/12*h**3 + 0*h**4 + 1\/8*h**2 - 6*h + g - 1\/120*h**6. Find b such that f(b) = 0.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(65) - -3*sqrt(65)*-4)\/(-2*sqrt(125)))**2*2.\nAnswer: 1573\/50","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) = n**3 + 16*n**2 + 15*n + 3. What is the lowest common multiple of 8 and o(-15)?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 0 + 3 + -16 + -33 + 40.\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -14 = 18*u - 4*u for u.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*s + 17 = 2*p, -2*s - 1 = 4*p + 1 for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -44, -223, -688, -1583, -3052, -5239?\nAnswer: -8288","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u*u**(3\/29)\/u)**(-9) assuming u is positive.\nAnswer: u**(-27\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.03281 + 4?\nAnswer: 4.03281","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 16 + 8766*p**3 - 8770*p**3 - 16.\nAnswer: -4*p**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -77314, -77280, -77204, -77074, -76878, -76604, -76240, -75774?\n\"Answer: 2*c**3 + 9*c**2 - 7*c - 77318","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 + -4. Let s(b) = -b**2 + 2*b - 1205. Let q be s(0). Is q\/a - 16\/64 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = -96*b**3 - 8*b + 70. Let x(y) = -64*y**3 - 5*y + 46. Give 8*x(s) - 5*z(s).\nAnswer: -32*s**3 + 18","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 32.716 and -5713708601?\nAnswer: 5713708633.716","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 11\/4 of a meter in centimeters?\nAnswer: 275","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = 33*c - 34. Let d(g) = -67*g + 65. Let q(p) = 3*d(p) + 5*k(p). What is the first derivative of q(t) wrt t?\nAnswer: -36","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-7)\/(189\/4))\/(-11*(-11)\/363)?\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f(d) = -9*d**2 + 138*d - 153. Suppose 0 = -5*m + i + 196 + 1153, 0 = -5*m - 5*i + 1325. What is the remainder when m is divided by f(14)?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 798?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -98 - -98. Which is the smallest value?  (a) 4  (b) 2  (c) s\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 318891337 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-1026)\/12*(-4)\/2. Suppose -3*f + d = -120. Is f composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2307 = -3*c + 3. Suppose 3*x - 2*l = 6*x - 567, 0 = 4*x - 2*l - c. Is x prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -9614.49999948873 + 9614.5. Round k to seven decimal places.\nAnswer: 0.0000005","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 242 + -236. Let n be (-7 + l)\/((-9)\/99). Solve 5 + 6 = -n*k for k.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-20 + -4)\/2)\/(((-740)\/(-3330))\/((-4)\/45))?\nAnswer: 24\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 85\/14248 and -61\/17810.\nAnswer: 71240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: -1 + (-1 - -10) + (-1 - 2)\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:30 AM and 9:16 PM?\nAnswer: 646","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 71 minutes after 7:19 PM?\nAnswer: 8:30 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Total of 0.4764 and 4.\nAnswer: 4.4764","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-n + 0*n + 2*n)*(87 + 132 - 76)*(-3*n + 3*n + 2*n).\nAnswer: 286*n**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -77\/106 - -12\/53. Let s = -24.9 + 26.9. Which is the fourth smallest value?  (a) o  (b) -2  (c) -4  (d) s\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 768 = -21*i + 25*i. Calculate the highest common factor of 672 and i.\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 3?  (a) 36  (b) 3\/209  (c) -2\/15\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Sort 23353, 0, -1, 3, -3, 1.\nAnswer: -3, -1, 0, 1, 3, 23353","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*s - s**2 + 23*s - 14*s.\nAnswer: -s**2 + 3*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4\/7*(1 - (8 + (-15015)\/22)) is divided by 214?\nAnswer: 172","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 48 a factor of 1488?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 0  (c) -2.2  (d) -2\/15  (e) 627\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 20\/9 + ((-20)\/(-45))\/(-2). Suppose -63*k + 12*k**3 - k**4 + 48*k + v*k**5 + 6*k**2 - 11*k**4 + k**5 + 6 = 0. Calculate k.\nAnswer: -1, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -125 + 255\/2. Suppose -77 = 3*d + i + 161, d + 77 = 2*i. Let m = 393\/5 + d. Is m != w?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (i**33\/i**(3\/2)*(i**27)**(-3\/19))**31 assuming i is positive.\nAnswer: i**(32085\/38)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 91469357 is divided by 1074?\nAnswer: 1073","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Are 20890 and 20891 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-1566)\/(-12) - -1)\/(6\/(-4)). Let x = -304 + 217. Let k = x - l. What is the nearest to k in 0.2, 1\/4, -0.5?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 2*y**2 - 60032*y + 450480128 = 0. What is y?\nAnswer: 15008","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(5) + (sqrt(50)\/(sqrt(640) + sqrt(10)))**2)*2.\nAnswer: 10\/81 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -207, -447, -685, -921, -1155, -1387, -1617?\n\"Answer: o**2 - 243*o + 35","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -35 = -a + 32. Let v = -1696 + 1697. What is the greatest common divisor of v and a?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-3 + 7\/2)*-2.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*(1*(-2 + sqrt(363) + -1 - sqrt(363) - sqrt(363)) - (1 + 0 + sqrt(363) + sqrt(363) + (sqrt(363) - (sqrt(363) + 0 + 1))))*6)**2.\nAnswer: 28512*sqrt(3) + 471744","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 55*r - 1 + 110*r + 56*r + 0 - 84*r.\nAnswer: 137*r - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 701 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by -386?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 1.25 + 3.75. Which is the smallest value?  (a) w  (b) -2\/3  (c) -0.3  (d) -12\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from mmmppmm. What is prob of picking 2 p and 2 m?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2605 and -4.92?\nAnswer: 12816.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: How many centimeters are there in one sixteenth of a kilometer?\nAnswer: 6250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 96*t - 424 = 1861 + 403. Solve 0 = 657*s - 661*s - t for s.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -1283*c**3 - c**2 - 11*c - 7. Let o be m(-7). Suppose 3*u + 404006 = -4*s, -3*s + 137100 = -5*u + o. What is s rounded to the nearest 10000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1741616 and 152.\nAnswer: 152","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r**2 - 43*r + 504. Let v be z(25). Solve 42*u - 222 + v = 0 for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 32*s + 15 = 27*s for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((-1)\/6)\/((-10)\/(480\/(-8)))\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*b**3 - 44*b + 47\/2*b**2 - 8 = 0 for b.\nAnswer: -1\/6, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -2*a + 1. Let t be y(-5). Suppose -2*p + t = -p. Does 10 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -183, -1648, -5623, -13362, -26119?\n\"Answer: -209*s**3 - s**2 + s + 26","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -66, -135, -204?\n\"Answer: -69*a + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 84 is divided by 47.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let j(r) = -r**2 - 4*r + 8. Let y(u) = 2*u**2 + 12*u - 23. Let g(o) = -8*j(o) - 3*y(o). What is the tens digit of g(4)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -198*u - 558. Does 39 divide o(-19)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5 - 3 + 1)*(-2*p**3 + 683*p**5 + p + p - 660*p**5).\nAnswer: -161*p**5 + 14*p**3 - 14*p","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 154 + -95. Calculate the greatest common factor of 177 and h.\nAnswer: 59","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {v: 5, m: 1, c: 8, j: 2}. What is prob of picking 1 c and 1 v?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m - 41 = 2*p - 11, 44 = -5*m + 4*p. Let c = m + 5. Let q be 5 - (3 + 2) - 2. Is c greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3085554 to the power of 1\/3, to the nearest integer?\nAnswer: 146","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5 + ((5 + (-2*sqrt(931) - sqrt(931)))*-1 - (sqrt(19) + sqrt(19) + (sqrt(19) - (sqrt(19) + -1 + -1)**2) - sqrt(57)\/(sqrt(21)\/sqrt(7)))))*4.\nAnswer: 92 + 60*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (201\/670)\/(12\/10).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*((sqrt(539)*2*6 + -3 + sqrt(539) + 1 + sqrt(539))**2 + -4 + ((1 + -1*sqrt(539))**2 - sqrt(539)*3*-5)).\nAnswer: -318552 + 903*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 21\/28 + 2 + (-219)\/(-12). Suppose 6 = 24*r - n*r. Solve -r*k + k + 3 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 1953 and 5859.\nAnswer: 5859","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Factor h**2\/5 + 6666*h\/5 + 11108889\/5.\nAnswer: (h + 3333)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g(u) = -u**3 + 8*u**2 - u + 10. Let x be g(8). Factor 7*s**3 + s**4 - s**3 - x*s**2 - s**2 - 4*s**4.\nAnswer: -3*s**2*(s - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ff when two letters picked without replacement from wfzazfzzwfzaz?\nAnswer: 1\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = -27*v + 1134. Give l(42).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 2\/113  (b) -10  (c) 0  (d) 27  (e) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*a + 9*a = 15. Suppose 0*z + z = -a*n + 409, -z = -n + 131. Let s = 189 - n. List the prime factors of s.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 157921 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 4  (b) 22  (c) 1  (d) 29112\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Factor -w**4\/4 - 205442765*w**3\/4 - 7034454914233743*w**2\/2 - 80287657370874601706799*w + 80287660888102110184362.\nAnswer: -(w - 1)*(w + 68480922)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-190)\/(-20))\/((-1)\/(-2)). Suppose 3*t + 4*b + x = 0, -4*b = -t + b + 19. Let w(a) = 2*a**2 + 2*a + 1. Determine w(t).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 3 + -14.8. Let u = 13.8 + z. Which is the nearest to 1\/2?  (a) -6  (b) u  (c) -5\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_test"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 13, 12, 3, -20, -63, -132, -233?\n\"Answer: -b**3 + 2*b**2 + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*d + 2067 = 2075. Solve d*v - u + 8 = 0, 20*u - 17*u = -4*v - 26 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1.855 + 1.955. Is w greater than or equal to 1344?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*a - 39 + 237 = 0 for a.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: ((338\/78)\/13*27\/3)\/((-2)\/6)\nAnswer: -9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -22673 - 3?\nAnswer: -22676","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 1 - 1)*(2*h - 3*h + 2*h + (4*h + 4*h - 6*h)*(1 + 0 - 3) - 2*h - 2*h + 5*h + 2*h - 2*h - h - 4*h + 6 - 6)*(h - 2 + 2)*(2*h**2 + 2*h**2 - 7*h**2).\nAnswer: 21*h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = -y + 10. Let v be q(8). Find the second derivative of -15*z + 112*z**v + 0*z - 34*z**2 wrt z.\nAnswer: 156","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*t + 25, 1 = c + t - 2*t. Let r be ((-28)\/3)\/((-6)\/27). What is the greatest common factor of r and c?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -894661094 and 0.2.\nAnswer: -894661093.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: -8*2108808\nAnswer: -16870464","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a = 2*w + 58, -4*a + w + 31 = -13. Suppose f - 3*f = -a. Suppose f = -m + 9. What is the least common multiple of 2 and m?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -3 - -6. Factor -t**3 - t**r - t - 4*t**2 - t.\nAnswer: -2*t*(t + 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 569\/8 in 5\/4, 26, 0.1?\nAnswer: 26","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 g, 2 m, and 1 u when four letters picked without replacement from {s: 2, i: 1, u: 1, m: 5, g: 1}?\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from slsssslslsssss. Give prob of picking 1 s and 2 l.\nAnswer: 33\/364","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 22934?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i + 19. Let y = 59 - 78. Let r be m(y). Let r - 2\/7*x - 3\/7*x**2 = 0. Calculate x.\nAnswer: -2\/3, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 4.19 - -0.1527669.\nAnswer: 4.3427669","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(1900) + -1 + sqrt(1900) + sqrt(1900))*4*5 + -4.\nAnswer: -24 + 600*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g = -2*g - 210. Calculate the greatest common factor of 56 and g.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 2\/(-9) - (-7384)\/18. Let v = -175 + z. Calculate the remainder when v is divided by 34.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 13*b**3 + 6232*b**2 + 24*b + 4534.\nAnswer: 78*b + 12464","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 505 minutes after 4:04 AM?\nAnswer: 12:29 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 18594?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-20*m + 3*m - 9*m)*(0 + 0 + m) - 5*m**2 + 0*m**2 + 3*m**2 + 4 + m**2 - 4 to t*m**2 + u + y*m and give t.\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xjjx when four letters picked without replacement from {x: 4, j: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i be (6\/(-8))\/(1\/4). Let h(n) = -1 - 202*n - 3 + 2*n**2 + 203*n. What is the remainder when h(i) is divided by 7?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5 = p, 2*f + 5*p + 7 = -2. Suppose -13*b + 15 = -f*b. Suppose -b*x + 52 = -x + 4*j, -5*j = 15. List the prime factors of x.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.22422232 to four dps.\nAnswer: 0.2242","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -0.08 - -9.08. Let x = 2.36 - -6.34. Let l = x - v. Which is the third smallest value?  (a) -0.1  (b) l  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -14922 or -14736?\nAnswer: -14736","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:51 AM and 12:44 PM?\nAnswer: 473","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) be the second derivative of 7*i**3\/6 + 18*i. Let f be t(1). Suppose c = m - f, 4*c - 8 - 4 = -4*m. Does 5 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 22060313 is divided by 23124?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1576585832.\nAnswer: 2, 197073229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 732570010 rounded to the nearest 100000?\nAnswer: 732600000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 13 + -8. Suppose d = l - 44. Let k = l - 32. Is 17 a factor of k?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 3036\/2 + 24\/(-6 + 0). Suppose 0 = 3*k - 2569 - n. Is k a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(a) be the first derivative of -a - 3\/2*a**2 - 4 - 2\/3*a**3. Factor o(i).\nAnswer: -(i + 1)*(2*i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum 424.235 and 0.69.\nAnswer: 424.925","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 9.131048 millimeters in micrometers?\nAnswer: 9131.048","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 58639 - 37588. Is p at least as big as 21052?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(q) = -6*q**2 + 8*q - 8. Let s(n) = -n - 22*n**2 + 9*n**2 - 1 + 2*n + 12*n**2. Let d(m) = 8*s(m) - t(m). Let h(x) = 20*x. Determine d(h(r)).\nAnswer: -800*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Divide -1397278 by 48182.\nAnswer: -29","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Round -229000 to the nearest ten thousand.\nAnswer: -230000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 2057.6 and -0.2.\nAnswer: -411.52","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 - -11010010?\nAnswer: 11001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 58*p**4 + 3766*p**3 + 1326962*p wrt p.\nAnswer: 696*p**2 + 22596*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -31661 + 4?\nAnswer: -31654","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(r) = -20*r - 943. Let w be s(-47). Sort w, 3, -183 in descending order.\nAnswer: 3, w, -183","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(t) = t**2 - 19*t + 11. Let f be q(21). Let h = f - 38. What is the greatest common divisor of h and 30?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 7*g**2. Let z(x) be the first derivative of 2*x**3\/3 - 344. Determine z(o(l)).\nAnswer: 98*l**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) = -347*v**3 - 2*v**2 - 6*v. Let z be (-11)\/3 - (-3)\/(-9). Let x be i(z). Suppose -x = r + r. Round r to the nearest 1000.\nAnswer: -11000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 20 + (-25 - -13 - (-51 + 33))?\nAnswer: 26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:26 PM and 5:57 PM?\nAnswer: 211","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = -3*m**2 - 2*m**2 + 6*m**2 + 2*m**2. Let w(i) = i - 4. Let y be (27\/18)\/(3\/8). Let l(q) = -q + 5. Let x(o) = y*l(o) + 5*w(o). What is s(x(u))?\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3134869 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-4)\/18)\/((-1)\/9).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 15.6 - 16. Let c = -2860.9 + 2861. Let h = 0 + -5. What is the closest to c in -3\/2, h, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3 - (-1 + (-91127)\/(-16)). Let k = -5688 - r. Calculate the common denominator of -85\/12 and k.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -2*m + 18. Suppose m = -a + 33. Suppose 0 = -2*r - r + 24. Calculate the remainder when a is divided by r.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*t + 4*g + 9 - 29, 0 = -4*t - 5*g + 21. Let k be 4\/2 + -1*t. List the prime factors of -2*(3\/k + 0).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-1 - -1) + -1 + 6. Suppose 0 = c + a*c. Suppose -6*x + 402 - 102 = c. List the prime factors of x.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -3*q**2. Let y(n) = 2*n + 7. Suppose 3*i - 6 = 6. Let a = i + -10. Let u(h) = 2*h + 6. Let s(m) = a*y(m) + 7*u(m). Give s(k(j)).\nAnswer: -6*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:09 AM and 7:55 PM?\nAnswer: 526","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 2*u + 5, 6 = -q - 2*u. Let c be (1\/18)\/((-3)\/24). Is c greater than or equal to q?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -q - 6 = i + 3*q, -16 = -5*i + 3*q for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x\/x**(-2\/13))\/(x\/(x*x**(-8)*x)*x)*x**(-4)\/(x**(6\/5)\/x)*((x*x*(x*x**7*x)\/x)\/x**2)**(-25) assuming x is positive.\nAnswer: x**(-13718\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -35 + 234443031?\nAnswer: 234442663","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -27, -272, -927, -2196, -4283, -7392?\nAnswer: -11727","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:53 PM and 7:53 PM?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m(t) be the third derivative of t**8\/1176 - t**7\/735 - t**6\/210 + 16*t**2. Factor m(s).\nAnswer: 2*s**3*(s - 2)*(s + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(k) = -2*k - 3. Let b be f(-7). Let m be 176\/(-10) - 14\/35. Let s be (-6)\/21 + m\/(-14). What is the highest common divisor of b and s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 8024?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 850662719 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w\/w**(-2\/19)*w\/w**(-7))\/(w**(2\/15)*(w**(-2\/29)*w)\/w) assuming w is positive.\nAnswer: w**(74723\/8265)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: 21545818 divided by -4\nAnswer: -10772909\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-28 - -28) + -4 + 3 + -1.\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 244227 a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.252114 to 2 decimal places.\nAnswer: -0.25","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-135)\/(-12))\/(((-837)\/124)\/(-27))?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4*t**2 + 427*t**3 - 4*t**2 - 9*t**4 - 424*t**3 + 8*t**4 + 8*t to q*t**2 + b*t + y*t**3 + l + p*t**4 and give q.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 232 a factor of 299048?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -2.31 - 0.69. What is the biggest value in 1, m, 0.1, 13?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = 2*q**3 + 3*q**2 - 3*q - 1. Let x be p(2). Which is bigger: 20 or x?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 26*q**4 - q**3 + 297*q**2 - 4.\nAnswer: 624*q - 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 1350 and 1216350?\nAnswer: 1216350","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*sqrt(130)*2)\/(sqrt(20)\/(sqrt(2)*1)).\nAnswer: -4*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 3114359 is divided by 3178.\nAnswer: 3097","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -6.05 - -6. Let f = -0.45 - p. Let c = -11099\/16653 + -1\/5551. What is the smallest value in f, c, -3, 0.3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -747, -3129, -7097, -12651, -19791, -28517, -38829?\n\"Answer: -793*d**2 - 3*d + 49","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 3*a - 388 = 0, -9*h - 3*a + 1164 = -3*h. Is h even?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 10 - 10.01. Let d = 1.01 + v. Let y = d + -1.1. Is y not equal to 0.8?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2109*k**2 - 571 + 907*k**2 - 2161*k**2 + 1832 + 550 wrt k?\nAnswer: -6726*k","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 630 minutes before 11:25 AM?\nAnswer: 12:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/(-5) - (-318)\/30. Suppose g = 3*a + l, -4*g + 3*a + 8 = -0*g. Is 2\/15 not equal to g?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 283 + i + 751 - 537 + 853 - i**2.\nAnswer: -i**2 + i + 1350","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve 27 = 2*i + 5*y, y = 8*i - 13*i + 10 for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w(a) = a - 10. Let l be w(15). Suppose -1140 = -3*u - 2*b - b, 1900 = l*u + 4*b. Is 19 a factor of u?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-5)\/((-70)\/36) + 150\/350?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 198 and 90.\nAnswer: 990","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) 11\/4  (b) -13  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*b - 127 + 1. Let r(y) = 3*y**3 + 24*y**2 + 20*y + 8. What is the remainder when b is divided by r(-7)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**3\/5 + 18482*n**2\/5 + 110946*n\/5 + 166446\/5.\nAnswer: -2*(n - 9247)*(n + 3)**2\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*t = -116 + 4355. Let a be 3\/15*-2 - t\/5. Let y = -196 - a. What are the prime factors of y?\nAnswer: 3, 29","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -12 + 11. Let d = -2.9 + 19.9. Let o = d - 16.5. What is the second biggest value in o, b, -2\/15?\nAnswer: -2\/15","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1\/12 in 30\/13, 0.039, -3\/7, -2\/7?\nAnswer: 0.039","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -87585 divided by 5.\nAnswer: -17517","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l + 605 = 6*l. List the prime factors of l.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -65.6, 2\/5, 4\/3, 1\/8, 4 in decreasing order.\nAnswer: 4, 4\/3, 2\/5, 1\/8, -65.6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 52564419 and 4182.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = -12*q**2 + 119*q + q**3 + 56 - 45 - 78*q - 11*q**2. Calculate z(21).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1\/26, 62888, -5 in increasing order.\nAnswer: -5, 1\/26, 62888","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (m\/m**(-1\/12))\/(m\/(m*m*m**10*m*m*m))*m*m**(-7)*m*m**(-1\/18) assuming m is positive.\nAnswer: m**(361\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/4 + (-2)\/4. What is the second derivative of -4*l + y*l + l + 3*l**3 wrt l?\nAnswer: 18*l","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 1 + 15. Calculate the greatest common factor of 64 and d.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -2 + 2*d - 10*d - 73*d in the form o + r*d and give o.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let i(l) be the second derivative of 7*l**7\/6 + 4*l**3\/3 - 3*l**2 + 9*l. What is the second derivative of i(g) wrt g?\nAnswer: 980*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 359403691*g - 20*g**2 + 4 - 359403691*g.\nAnswer: -20*g**2 + 4","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*j**2 - 7*j**2 - 3012 - 416.\nAnswer: -2*j**2 - 3428","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -5 + -14 + (-4)\/(-2). Let u = p - -35\/2. Which is the nearest to u?  (a) -0.2  (b) 4\/3  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(n) = -91*n - 1357. Calculate w(-15).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:55 PM and 1:28 AM?\nAnswer: 693","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let q(i) = 6*i**3 - 11*i**2 - 15*i + 4. Let o(h) = h**3 + h**2 - h. Suppose -31*m + 35*m = -4. Let f(w) = m*q(w) + 2*o(w). Solve f(t) = 0.\nAnswer: -1, 1\/4, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -7 - 95. Let b be 6\/(-4)*f\/9. Let m(d) = -20*d**2 + 14*d - 17. Let a(s) = 7*s**2 - 5*s + 6. Determine b*a(p) + 6*m(p).\nAnswer: -p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-17 - 139 - 4)*(-2*v + 1 - 1).\nAnswer: 320*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 22*z**3 - 5*z - 2*z**2 - 46*z**4 + 29*z**4 - 20*z**3 to y*z**2 + g*z + t + b*z**4 + v*z**3 and give v.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2195 a multiple of 68?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(t) = -4976*t - 1838. What is the thousands digit of c(-8)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 541\/15330 + 9\/730. What is the nearest to -2\/7 in 0.1, 3, 1\/7, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = -d**3 + d + 1. Let h(j) = j**3 - 6*j**2 - 6*j. Let z(p) = -2*b(p) - h(p). Let c be z(-5). Solve 2*o + 17 = -4*n + 5*o, c*n + 18 = -3*o for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 0 <= 2957\/21632?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify h*h**(-25)\/h*h*h*h*h**(-2\/29) assuming h is positive.\nAnswer: h**(-640\/29)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hsah when four letters picked without replacement from {p: 1, a: 2, s: 2, h: 5, w: 10}?\nAnswer: 2\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -28*w + 162 + 314. Calculate the greatest common divisor of 17 and w.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4699?  (a) 3  (b) -4  (c) -2.8\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(a) = 2*a**2 + 13*a. What is s(-8)?\nAnswer: 24","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: (-2 - -1 - 1 - -3) + (-291 - -291)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 66238647?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(z) = -z**2 - 1268*z + 14100. Give o(11).\nAnswer: 31","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 4 + -2. Suppose -6*c + 41 = 11. Suppose -28 = -2*d - 4*o, -3*o + c*o = -2*d + 20. What is the remainder when d is divided by q?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 25. Calculate the remainder when k is divided by 8.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is z in 2*z**3\/13 - 4*z**2\/13 + 2*z\/13 = 0?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(3\/7)*l*l**(-2\/9))\/((l*l**7*l*l)\/(l\/((l\/(l\/(l\/l**2)*l)*l*l*l*l)\/l))) assuming l is positive.\nAnswer: l**(-554\/63)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 6533, 5859, 5185?\nAnswer: 4511","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Put -0.3, -1, -3, 1\/148 in descending order.\nAnswer: 1\/148, -0.3, -1, -3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = -2*x + 15. What is g(-16)?\nAnswer: 47","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 4423348001 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -3*a - 7. Let h be ((-6)\/(-18))\/(2\/12). Suppose q + 8 = 4*l + 19, -h*q - 18 = 2*l. Give u(q).\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(n) = -5*n - 40. Let d be p(-8). Suppose -3*c + 65 + 745 = d. Is c a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose b - 4 + 2 = 0. Factor 4*w**3 + 0*w**2 - 6*w**2 - b*w**3 - 4*w**3 - 6*w - 2.\nAnswer: -2*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 6, 3, 9, -5 in decreasing order.\nAnswer: 9, 6, 3, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 852796?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -3605 - -3919. Calculate the remainder when v is divided by 10.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.6 in 3\/7, 0, -4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*s + g = 4, 0*g - g = -2*s. Let t be (-8)\/(-2)*-1 - (s + -1). Let r = 8.9 + -9. Which is the closest to r?  (a) 0.4  (b) 4  (c) t\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 18\/59 - -1331\/472. Is 4 smaller than m?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -13195.7 to the nearest 1000.\nAnswer: -13000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 + 242?\nAnswer: 251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -115*g**4 + 4840*g**3 + 5076534*g wrt g?\nAnswer: -1380*g**2 + 29040*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3.9 + -1.6. Let z = 5 + w. Which is the biggest value?  (a) z  (b) -4\/5  (c) 2\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose v - 2*q = 4*v - 10, -2*v - 4*q = -12. Let y(j) be the second derivative of 0*j**5 + j + 0 + 0*j**v - 1\/54*j**4 + 1\/135*j**6 + 0*j**3. Factor y(t).\nAnswer: 2*t**2*(t - 1)*(t + 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d = -2*o - 22, 3*d - 2*o = o + 57. Suppose -3*x + 14 = -d. Let c be 46\/10 + x\/25. Solve -2*j - 4 = -2*b, 4*j - 2 + 10 = -c*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 39 divide 972179?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve 944*a = -99*a + 22510 + 16081 for a.\nAnswer: 37","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is 120200000 rounded to the nearest 1000000?\nAnswer: 120000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -38.8 + 39. What is the nearest to v in -1\/2, 5, 2?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 4\/6 + 2\/(0 + -6).\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -136735766\/17 + 8040451. Let g = a - -2832. Find the common denominator of g and 11\/7.\nAnswer: 119","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3\/7, 2, 12\/19 in increasing order.\nAnswer: 3\/7, 12\/19, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -31 - (6 - 19 - -4) - (-6 - 2)?\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-31 + 31)*(-2)\/(-4). Let x(g) be the second derivative of m*g**4 - 1\/20*g**5 - 3*g - 3\/2*g**2 + 0 + 0*g**3. Find the first derivative of x(f) wrt f.\nAnswer: -3*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-12)\/(-14))\/((-4)\/(-28)). What is the greatest common divisor of r and 102?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3\/(-1))\/((-10)\/10)?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-r**2 + 3*r**2 - r**2)*(-1 - 2 - 3) - 3*r**2 + r**2 + 3*r**2 + 4*r**2 - 2*r**2 + 0*r**2 + (2*r + 2*r - 2*r)*(0*r - 3*r + 4*r).\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 4340 and 11732?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Do -57966 and -57975 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -74181541*j + 1 + 37090786*j + 0 + 37090777*j.\nAnswer: 22*j + 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.03627079 and -3529.\nAnswer: -3529.03627079","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(k) = -3*k. Suppose 2*g = g - 4*p + 10, 5*g - 3*p - 4 = 0. Let j(f) = -8*f**2 - 16*f**g + 19*f**2. What is j(y(x))?\nAnswer: -45*x**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 1447*t + 1514. What is the hundreds digit of y(5)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1104208117?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 131 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x be 42\/(-84)*(-10)\/35. Which is the third biggest value?  (a) -0.4  (b) -0.1  (c) -320  (d) x\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-68)\/20 + 34\/(952\/84)?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5562 divided by -1.\nAnswer: -5562","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 516903 is divided by 10.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -4625 divided by 1?\nAnswer: -4625","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) be the first derivative of -g**4\/4 + 7*g**3\/3 + 4*g**2 - g - 2. Let w be f(8). Is -2*w\/6*69 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 35032940717 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 0.5 times 68\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 140 divided by 35.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is j in -3*j**4\/2 - 25407*j**3 - 223836363*j**2\/2 - 36312592272*j = 0?\nAnswer: -8293, -352, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(55)\/((sqrt(88) - 1*sqrt(88))\/sqrt(8) - sqrt(11))*-1)**2 + (4 + sqrt(605) - sqrt(60)\/(sqrt(72)\/sqrt(6))).\nAnswer: 9 + 10*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(132) + 6*sqrt(132)*1)*5)\/((4*(sqrt(108)*-3 + sqrt(108) + sqrt(108)))\/sqrt(9)).\nAnswer: -35*sqrt(11)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 124 + 7*c**2 + 358 + c**2 + 0*c**2.\nAnswer: 8*c**2 + 482","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -864\/35 or -24?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) = 2*i**3 + 12*i**2 + 7. Let h be b(-6). Let k(u) = -u**3 - 3*u**2 + 5*u - 1. Let d be k(-6). What is the greatest common divisor of h and d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the second derivative of u**4\/45 - u**3\/45 + 13*u. Factor b(s).\nAnswer: 2*s*(2*s - 1)\/15","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*d**2 + 23*d**2 - 11*d**2.\nAnswer: 6*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 75950, 75953, 75956?\n\"Answer: 3*b + 75947","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -9 + 15. Let d(j) be the second derivative of 0*j**2 - 1\/105*j**a + 0*j**5 + 0*j**3 + 1\/42*j**4 + 0 + 4*j. What is v in d(v) = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -6663811 by -407.\nAnswer: 16373","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 245, 236, 227, 218, 209, 200?\nAnswer: 191","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes after 5:32 AM?\nAnswer: 1:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -101 - -2?\nAnswer: -22","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -768*d - 81. Let m(j) = 384*j + 41. Let k(r) = 4*i(r) + 7*m(r). Is k(-15) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in twenty-six fifths of a decade?\nAnswer: 52","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -136723685*f**2 + 1604*f - 20173 wrt f.\nAnswer: -273447370","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 5740 and 7.\nAnswer: 5740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 40*(-6)\/24 - (0 - -11). Let q(x) = x - 49. What is q(f)?\nAnswer: -70","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 3, -2, -25600, -6, -4.\nAnswer: -25600, -6, -4, -2, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Work out -307 * -7.\nAnswer: 2149","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, -234, 2.\nAnswer: -234, -5, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 44 or 60\/1079?\nAnswer: 44","meta":{"dup_signals":{},"source":"comparison__pair_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 686454 is divided by 7626.\nAnswer: 114","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (19 - (-1703)\/(-91)) + (-18210)\/(-14)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 251 - 54050?\nAnswer: -53355","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -16*c + 178 - 146. Suppose 0 = -5*s - 23 + 88. Suppose 0*j + 5 = 5*j - 5*x, j - 10 = 4*x. Put c, j, s, -3 in decreasing order.\nAnswer: s, c, j, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*l = 2*l - 126. What is the tens digit of 6\/l + (-1810)\/(-35)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 592138?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 6 - 6 = 0. Suppose -u - 66 = -a*u. What are the prime factors of u?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d = -3*p + 37, -4*d + 3*p + 2*p - 40 = 0. Let v be (-2626)\/(-505) - 18\/(-10). What is the second biggest value in d, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -71.61 rounded to the nearest integer?\nAnswer: -72","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence fy when two letters picked without replacement from {e: 3, y: 1, f: 12, z: 4}?\nAnswer: 3\/95","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 3  (b) -22  (c) -10\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -2\/11, 5, 6\/37, 2, 0.4?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is -342b + -1?\nAnswer: -342c","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 2145 + a53?\nAnswer: 2b98","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 25  (b) -6  (c) -3\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 26070 divided by 330.\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 14150?\nAnswer: 2, 5, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -5*q + q + 44. Let c = q + -13. Let z be ((-40)\/25)\/(c\/5). Put 1, -2, z in decreasing order.\nAnswer: z, 1, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-1 + 28\/12)\/(-1)*222. Let n = -204 - k. What is the highest common divisor of 138 and n?\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 1, 0.4, -2\/23, 0.02, 642?\nAnswer: -2\/23","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 7685 and 117479.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1 + 9. Suppose -3*g + c = -x - 4, 5*c = -5*g + 20. Suppose 4*l - 7*l + 23 = 2*y, -2*y + g*l = 12. What is the greatest common divisor of y and 28?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(h) be the third derivative of -h**6\/60 - 17*h**5\/60 + 7*h**4\/24 - 11*h**3\/6 - 1751*h**2. Determine a(-9).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(n) = 635*n + 7802. What are the prime factors of u(8)?\nAnswer: 2, 3, 19, 113","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -q**3 + 0*q**3 + 0*q**3 + (-1 - 1 + 5)*(6*q**3 + 9*q**3 + 6*q**3).\nAnswer: 62*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide 912416 by 2.\nAnswer: 456208","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Factor -x**3\/5 + 24157476*x**2\/5 - 145895959987584*x\/5 + 583583453430784\/5.\nAnswer: -(x - 12078736)**2*(x - 4)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*p + 2 + 7. Let v(n) = -5*n - 2. Let o(m) = -2*m - 1. Calculate p*v(w) + 8*o(w).\nAnswer: -w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q\/(((q**(-18)*q*q)\/q)\/q*q*q)*q*q**(-14)\/q)\/(q*q**3)**(-27\/7))**(1\/26) assuming q is positive.\nAnswer: q**(129\/182)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(d) = -2*d. Let t(r) = 2*r. Let h be (60 + (5 - 4))*(0 + 1). Let y = h - 59. Let k(w) = y*j(w) + 3*t(w). Calculate k(-2).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.01189 rounded to 4 decimal places?\nAnswer: -0.0119","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Express (-5*r + 3*r + r)*(-4*r + r + r) - 76*r**2 + 3815 - 3815 - 2*r**2 + 1 - 1 in the form p*r + x + a*r**2 and give a.\nAnswer: -76","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-5)\/(25\/2)*-80. Suppose -n = -4 + l. Let z = -17 - n. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 15059026 to the power of 1\/2, to the nearest integer?\nAnswer: 3881","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*t**2 - 16*t**2 - 15*t**2)*(5 + 1 - 5).\nAnswer: -31*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 14 - (-5 + 1 - -24) - (-1 + 8)?\nAnswer: -13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 44*(-41)\/(-451)*6\/104?\nAnswer: 3\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 3 - 3)*(s - 2*s - s) + (-1 - 2 - 2)*(-3*s - s + 2*s).\nAnswer: 4*s","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine z so that 3*z**4\/2 - 1203*z**3\/2 + 92097*z**2\/2 - 180597*z\/2 + 44850 = 0.\nAnswer: 1, 100, 299","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 533592642 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-42491 - 55332 - 25970 - 27711 + 19076)*(-4*x**3 + 4*x**3 - x**3).\nAnswer: 132428*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 45\/4 of a litre?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*q + 4*q - 5*q)*(-90*q + 155*q - 85*q) - 4*q**2 - q**2 + q**2.\nAnswer: 16*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Divide -385020 by 3.\nAnswer: -128340","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of (11 - 84\/8)*10618?\nAnswer: 5309","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.01, 1\/6480, 2?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-2)\/10 - 168\/(-40). Is (l\/(-2))\/(-4)*298 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is a in a**3\/5 - 12445407*a**2\/5 - 24890829*a - 62227085 = 0?\nAnswer: -5, 12445417","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Round -841.86 to the nearest one hundred.\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor 17*w**4 - 2245*w**2 + 1 - 1 - 15*w**4 - 94*w - 98*w**3 + 2435*w**2.\nAnswer: 2*w*(w - 47)*(w - 1)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d + 1. Let w be (-91)\/26 + -1*2\/4. Let y(q) = 3*q + 2. Determine w*y(m) + 11*p(m).\nAnswer: -m + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 2*f + 68 = 0, 20*f - 182 = -5*j + 19*f. Calculate the greatest common divisor of 588 and j.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -52 (base 7) to base 6.\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(f) = -15*f - 902. Give m(-40).\nAnswer: -302","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the first derivative of d**6\/120 - d**5\/30 + d**4\/12 + d**3\/3 - 3*d**2\/2 + 4. Let k(z) be the second derivative of a(z). Calculate k(2).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (782*x - 388*x + 192 - 395*x)*(-3 + 3 - 2*x**3).\nAnswer: 2*x**4 - 384*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 27602 (base 8) to base 15\nAnswer: 390c","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hgh when three letters picked without replacement from {y: 1, h: 3, p: 2, x: 3, d: 1, g: 1}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -1 times -12?\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 (base 5) in base 8?\nAnswer: -21","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 461, 463, 465, 467, 469, 471?\nAnswer: 473","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2691*b = 23190 - 227249 - 3148 for b.\nAnswer: -77","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*y**4 + 2*y**4 + 5*y**4)*(14 + 16 - 14)*(2 + 2 - 5)*(4 - 2 + 0).\nAnswer: -64*y**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 425025?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 4392542474?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) = 701 + l**3 - l**3 + l**3. Let u(p) = p**2 + 8*p + 7. Let g be u(-7). Is b(g) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/16 of a millennium in months?\nAnswer: 750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 90*q - 548*q + 8244 for q.\nAnswer: 18","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3\/8, -4\/11, 2\/3, 0.3.\nAnswer: -3\/8, -4\/11, 0.3, 2\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is (-19)\/19*(-22593 + 10) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1072, 4338, 9798, 17458, 27324, 39402, 53698, 70218?\nAnswer: 88968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 28 is divided by 5*(3 + (-26)\/10).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 440 - 441. Which is the fourth smallest value?  (a) -0.4  (b) -3  (c) o  (d) 0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from ffffdffffddffddffdf. Give prob of picking 1 d and 2 f.\nAnswer: 156\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -115\/584257014 and -50\/33.\nAnswer: 584257014","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let k be (-7 + 2864531\/(-215))\/(2\/(-5)). Calculate the highest common divisor of k and 19.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b be ((-1)\/2)\/(21\/(-132)). Is b at least 2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (8\/10)\/((-1)\/(-5)). Let t(b) = 1 - b - b + b. Let z(r) = 6*r - 6. Suppose -4*n + 11 = 7*n. What is g*t(w) + n*z(w)?\nAnswer: 2*w - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-f + f - 2*f**2)*(-f**2 - f**2 - f + 21 - 25).\nAnswer: 4*f**4 + 2*f**3 + 8*f**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = w**2 + w. Let m be t(-2). Suppose -m*l + l = -13. Is l a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -4 + 10. What is the lowest common multiple of v and 7?\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = 2*w + 5. Let f(r) = 3*r + 6. Let p(l) = -5*f(l) + 6*z(l). Let t(x) = x. Calculate t(p(c)).\nAnswer: -3*c","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from hwhvavr. Give prob of picking 1 v and 1 r.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) be the first derivative of -25*i**6\/48 - 13*i**5\/8 - 23*i**4\/16 + i**3\/12 + 7*i**2\/16 - i\/8 + 179. Factor j(d).\nAnswer: -(d + 1)**3*(5*d - 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h = 3*h. Let g(p) be the second derivative of 9 + 1\/12*p**4 - 1\/6*p**3 + 5*p**2 - 3*p. Calculate g(h).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 30 and 1370?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17878?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 5974, 11962, 17952, 23944, 29938, 35934?\nAnswer: 41932","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 5\/4 of a day in hours?\nAnswer: 30","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5*(sqrt(11) + sqrt(11) + 5 + 1*sqrt(11)) - 2*(5 + sqrt(275))) + -2)**2.\nAnswer: 130*sqrt(11) + 444","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) be the third derivative of 0 - 1\/60*c**5 - 65*c**2 - 16\/3*c**3 + 0*c + 3\/4*c**4. Determine f so that s(f) = 0.\nAnswer: 2, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 5\/7487  (b) 21\/17  (c) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 27*v + 14*v - 42*v + 15*v + 8*v.\nAnswer: 22*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor c**2\/3 + 138632*c\/3 + 4804707856\/3.\nAnswer: (c + 69316)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 253 minutes before 9:03 AM?\nAnswer: 4:50 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Round -17945900 to the nearest 100000.\nAnswer: -17900000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in -1034, 350, -4?\nAnswer: 350","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 12912?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -5062, -4732, -4386, -4018, -3622, -3192?\n\"Answer: f**3 + 2*f**2 + 317*f - 5382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -12.5724 - 0.0476. What is z rounded to zero decimal places?\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -468*d**5 - 3*d**4 + 237*d**2 wrt d.\nAnswer: -28080*d**2 - 72*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 28954873 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Sort -3, -0.5, -642, 0.066, 4\/5 in decreasing order.\nAnswer: 4\/5, 0.066, -0.5, -3, -642","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 31703*h**2 - 95162*h**2 + 31761*h**2 + 31699*h**2.\nAnswer: h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of -372, -1004, -2070, -3576, -5528, -7932, -10794, -14120?\n\"Answer: -v**3 - 211*v**2 + 8*v - 168","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_test"},"subset":"dm_maths"}
{"text":"Question: Add together 3124621.066807 and 3.\nAnswer: 3124624.066807","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -40 + 43. Let k = -5 - -7. What is the nearest to k in -1, h, -0.5?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 17006410079 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 130895016827 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 114832 is divided by 28700.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5162 is divided by 1260?\nAnswer: 122","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -1\/6  (b) 3  (c) 0.17  (d) -1\/11\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let 4*p**5\/5 + 5704*p**4\/5 + 34116*p**3\/5 + 51136*p**2\/5 + 4544*p = 0. Calculate p.\nAnswer: -1420, -4, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -389*x - 15590 + 38541 = 0 for x.\nAnswer: 59","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Round -454156300 to the nearest 1000000.\nAnswer: -454000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 28*u**2 + u**3 + 12*u - 3*u - u - 6*u - 1 + 3 to the form h*u + q*u**2 + a*u**3 + y and give a.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 111263 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Product of 0.4 and 630.\nAnswer: 252","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose l = -4*b + 1273, 4*l - 8*l - 12 = 0. What is the units digit of b?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-1\/2))**(8\/11))**(-2\/11) assuming d is positive.\nAnswer: d**(8\/121)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 380331 or 2662314\/7?\nAnswer: 380331","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Does 1668 divide 1068386789?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ok when two letters picked without replacement from {j: 4, o: 6, k: 2}?\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 42243 (base 8) to base 7\nAnswer: 102141","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 4, 2\/39, 2\/7 in decreasing order.\nAnswer: 4, 2\/7, 2\/39","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 535 minutes after 3:43 AM?\nAnswer: 12:38 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that q**3 - 288414*q**2 + 20802867324*q - 1039422456200 = 0.\nAnswer: 50, 144182","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express (293 - 438 + 271)*(2*f + 0*f + 5*f) in the form k*f + j and give k.\nAnswer: 882","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6 + 35\/(-14))\/((-7)\/(-22))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2517225587 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 90, -298, -694, -1098, -1510, -1930, -2358?\nAnswer: -2794","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(h) = -h**3 - h**2. Let x(l) = -3*l**3 - 4*l**2 + 3*l. Determine 6*d(p) - x(p).\nAnswer: -3*p**3 - 2*p**2 - 3*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 12.85 - 12.95. Is i smaller than 1263?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1940283 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 252 + 404 = 8*b. Factor -41*r**2 + 41*r - 37*r - 2*r**3 + b*r**2 - 43*r**2.\nAnswer: -2*r*(r - 1)*(r + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 544 = 2*h + 2*h. Suppose -3*m - 182 = 2*a, -3*a - 6 + h = -2*m. Let b = m - -66. What is the closest to 1 in 2, 0.3, b?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2\/3 in 0.4, -0.03, -22, -3, -1?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Divide -471033 by -3.\nAnswer: 157011","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the second derivative of 2\/3*b**4 - 4\/3*b**3 + 0 - 1\/20*b**5 + 9\/2*b**2 + 2*b. Calculate the remainder when 4 is divided by s(7).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 20 and 48.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve s**5\/9 - 25*s**4\/9 + 65*s**3\/9 + 25*s**2\/9 - 22*s\/3 = 0 for s.\nAnswer: -1, 0, 1, 3, 22","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/315, 5, 2\/7, -1\/4 in descending order.\nAnswer: 5, 2\/7, 2\/315, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -70 - ((8 - (20 + -9 + 3)) + (2 - -7))?\nAnswer: -73","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2185 = 26*j - 1325. What is the remainder when j is divided by 20?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-one halves of a century in months?\nAnswer: 12600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2*-2*22\/440. Is 5\/21 < d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (266*s - 672*s - 394*s + (2 + 2 - 5)*(3*s - 2*s + 0*s) - 3*s + 0*s + s)*(1 - 2*s**4 - 1).\nAnswer: 1606*s**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Determine v so that v**3 - 527*v**2 - 27508*v - 52900 = 0.\nAnswer: -46, -2, 575","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is -0.2 at least as big as -6\/17?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let n(k) be the second derivative of -k**6\/120 - k**5\/30 + k**4\/6 + 3*k**2\/2 + k. Let c(b) be the first derivative of n(b). Determine c(-3).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 35?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 0.3 - -0.2. Let f = 0.3 - 0. Let r = o - f. Is r bigger than 0.2?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -50*s**4 + s**2 - 244*s + 58489 wrt s.\nAnswer: -200*s**3 + 2*s - 244","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 0 - 1)*(-3376*o - 918*o + 1329*o).\nAnswer: 5930*o","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -11962, -11963, -11964, -11965, -11966, -11967?\nAnswer: -11968","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -2 + (-350)\/(-147) + 6\/21. Put 0.02, 1, q in descending order.\nAnswer: 1, q, 0.02","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -14*l - 10*l**3 + 14*l + (-7*l + 0*l + 2*l)*(-2*l + 2*l - 2*l**2) - 2*l**3 + l - l - 3*l**3 + l**3 - l**3 + (2 + 3 - 4)*(-l**3 + 0*l**3 + 0*l**3).\nAnswer: -6*l**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -51 = -343*a + 172*a + 154*a. Let w = -5 + 38. Calculate the highest common divisor of w and a.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 136763 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 17245?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 5862 is divided by 245.\nAnswer: 227","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1619?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -157, -307, -457, -607, -757?\nAnswer: -907","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 3 - ((-75)\/(-21) - 4\/14). Let p = 2849\/13 - 219. What is the nearest to r in -1\/5, 1\/3, p?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*i + 11*i = -95. What are the prime factors of i?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((12\/(-30))\/(3\/(-30)))\/((-4)\/(-2))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -60 (base 9) to base 2\nAnswer: -110110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = -87*i**2 - 259*i - 769. Give o(-3).\nAnswer: -775","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4556 and 68.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:55 AM and 2:04 AM?\nAnswer: 69","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Expand 4*q - 4*q - q**4 + (15*q**3 - 3*q**3 + 0*q**3)*(-4*q - 1 + 10 + 1).\nAnswer: -49*q**4 + 120*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -254 divided by 3375.\nAnswer: -254\/3375","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 258990 divided by 89\nAnswer: 2910","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y be ((-1)\/3)\/1*-15. Let s = y + -2. Let u(l) = l**2 - l - 27. Let p be u(-5). Solve 0 = -p*h + s + 3 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -3334 + -340220?\nAnswer: -344104","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 19910\/130 + (-4)\/26 is divided by 14.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.2379 * -0.3\nAnswer: -0.07137","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -4327 + 3978.92. What is a rounded to the nearest ten?\nAnswer: -350","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 178987?\nAnswer: 178987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 0 - (2 - 2 - 66). Let h = -26822 - -27548. Calculate the highest common divisor of h and j.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*sqrt(110)*-2)\/(sqrt(10)*-2*6).\nAnswer: 2*sqrt(11)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(m) = -m**3 + 3*m + 1. Let j be l(-2). Suppose 0 = 2*z - z - 3*f + j, -3*z - 3*f = -27. Solve 3*o - z*o - 6 = 0 for o.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 444277*k*v**4 + 1467154*k*v - 3*v**4 wrt v.\nAnswer: 5331324*k*v**2 - 36*v**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.231 - -1.531. Which is the second smallest value?  (a) s  (b) -4\/9  (c) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 2\/3?  (a) -355\/3  (b) -4  (c) -5  (d) 2\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is 317 minutes after 4:14 AM?\nAnswer: 9:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 93*d + 300 = 18*d for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) = -x**3 - 6*x**2 - x + 9. Calculate q(-4).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 22*h**2 + 18*h**2 + 35*h**2 - 62*h**2.\nAnswer: 13*h**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*r - 2*r = 24. Let l(b) = 4*b - 5. Let n be l(r). Let v = 134 - 96. Calculate the highest common factor of n and v.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -753507*s - 753495*s + 1507002*s - 3 + 6*s**2 + 3.\nAnswer: 6*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 618 minutes before 1:13 PM?\nAnswer: 2:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -9.1 - -94.1. Let i = -116 + f. Let x = 30.6 + i. Which is the fourth biggest value?  (a) x  (b) -4  (c) -2\/3  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*x + 4 + 2 - 6*x + 2*x - 4*x.\nAnswer: -3*x + 6","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2265579?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.693 + -0.329. Round a to one dp.\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 346888 and 4.\nAnswer: 346888","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 1 - 4*v - 3 + 0*v - 8. Let l be q(-6). Find the second derivative of -g**5 + g**5 - l*g + g**5 wrt g.\nAnswer: 20*g**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 285107545 plus -23125?\nAnswer: 285084420","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-49)\/(-4)*(2 - 6). Let o = 439\/9 + s. What is the third smallest value in o, 1\/2, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -441.2053884 to the nearest 10.\nAnswer: -440","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 31 + 1023?\nAnswer: 1120","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.0387 + 580.0387. Let x = 549.3 - j. Let u = x + 41. Round u to the nearest integer.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.027 * 10\nAnswer: -0.27","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 b and 3 z when four letters picked without replacement from {z: 17, b: 1}?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 10 - 12. Let t = -2 + 1.8. Put x, t, -1\/4 in descending order.\nAnswer: t, -1\/4, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*y = -2*y + 72. Let n be (y + 3)*(-2)\/3. Suppose p = 6*p + n. Which is smaller: -2\/3 or p?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1\/5425 + 16453\/965650. Suppose 103 = -315*j + 168 + 250. Is j smaller than a?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -n - 5*o = 35 + 22, 6*n = -5*o - 67 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 62938, 63190, 63442, 63694?\n\"Answer: 252*c + 62686","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = t**3 - 9*t**2 - 16*t + 44. Determine g(10).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: 75429951 divided by -25143317\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 + 20 + -16 + 8.\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 2*g + 4)*(-2 + 3 + 1) + (-3 - 1 + 0)*(2*g - 6 + 6).\nAnswer: -12*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 49340 to the power of 1\/9, to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 115557 is divided by 103?\nAnswer: 94","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.49440139 rounded to four dps?\nAnswer: -0.4944","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = 4*l**2 + 2*l - 5. Let k(r) = 9*r**2 + 3*r - 11. Suppose 0 = -5*v + 9*v - 12. Let j(c) = v*k(c) - 7*t(c). Give j(-6).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 68 divide 1326?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -23\/49, -0.2618, -3\/2 in descending order.\nAnswer: 1, -0.2618, -23\/49, -3\/2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*u + 4181 = -2*i + 4209, 4*u - i - 16 = 0 for u.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {r: 1, b: 1, k: 1, s: 2, f: 1, m: 1}. What is prob of sequence mkbs?\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*x = -4*r + 21, 11*x + 63*r - 59*r - 5 = 0 for x.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 - -2.4. Let k = -26.632 + 1.632. Which is the third biggest value?  (a) -0.3  (b) k  (c) s\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:18 PM and 8:13 AM?\nAnswer: 535","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (140\/(-45))\/4*415\/581.\nAnswer: -5\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 18*l + 359 - 359 to the form g + x*l and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 39*o + 43. Let p be l(-1). Solve -p*v - v = -v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -67, -129, -191, -253, -315, -377?\n\"Answer: -62*a - 5","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -3.76 - -7. Let t = p + -0.87. What is t rounded to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (g - 2*g**4 - g)*(-2*g + 2*g - g) + (-g + 0*g + 3*g)*(g**2 - g**2 - 2*g**4) + 6*g**5 - 3*g**5 - 4*g**5.\nAnswer: -3*g**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*l - 38*l = 16. Let h = 2 + -1.5. Which is the third biggest value?  (a) 25\/6  (b) l  (c) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -1.43 and 1.9.\nAnswer: -2.717","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1312?\nAnswer: 2, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -148, -282, -396, -478, -516, -498, -412, -246?\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 1*1\/((-3)\/(-9)). Let d be l\/(-2)*(-104)\/39. Suppose -g + d = -0*g. Solve 5*h - s = -2*s + 10, g*s - 6 = -3*h for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = 39*o - 349. Let i be f(9). Suppose -5*h + 25 = 0, 3*y - i*h - 191 - 105 = 0. Does 34 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*o - 3*n = 6, 0*n - 14 = -2*o + 2*n. Let k(t) = -t**o - t - 2 + 1 + 2*t - 6*t**2. Let p = -271 + 265. Calculate k(p).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.2 - 0.49748594197258?\nAnswer: -0.69748594197258","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 2381 and 1.131.\nAnswer: 2692.911","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 2*v = -4. Let s be (-2)\/v + (0 - 1). Suppose -b + 2 = q, 0*q + 3*q - 16 = 2*b. Solve u + 3*u - q = s for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-7*v + 2*v + 2*v)*(7 - 6 + 5) - 2 + 2*v + 2.\nAnswer: -16*v","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -13895 + 13923. Calculate the remainder when 2266 is divided by s.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine a, given that -1\/2*a**3 + 2 + 0*a - 3\/2*a**2 = 0.\nAnswer: -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8 + 31 = 41*z - 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 126784 and 84.\nAnswer: 380352","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -6*x + 9. Let g(i) = -3*i + 4. What is -5*g(u) + 2*n(u)?\nAnswer: 3*u - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 4485 divided by -17200.\nAnswer: -897\/3440","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*u**3 + 3*u**3 + u**3 + (4*u - 7 + 7)*(u**2 + 0 + 0) + u**3 - u**3 + 2*u**3 + 10*u**2 - 10*u**2 - 4*u**3 to x*u**2 + t*u + r + i*u**3 and give i.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 52*h + 1145 = -306*h - 287 for h.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*1*sqrt(495))\/(-2*sqrt(5)*-1 + sqrt(35)\/(sqrt(14)\/sqrt(2) + sqrt(7))).\nAnswer: -12*sqrt(11)\/5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -47.33254 times -0.25?\nAnswer: 11.833135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - y = 8, -5*t + 12 = -y - 2. Let p be 1 - (t - 3)\/(-1). Factor 50\/7*m**5 + 10\/7*m**4 - 32\/7*m**3 + 8\/7*m**2 + 0 + p*m.\nAnswer: 2*m**2*(m + 1)*(5*m - 2)**2\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16427003 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + -96 + 2 - (-2771 - -2769)?\nAnswer: -89","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 3995 and 108245.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -59\/264 and 7\/69?\nAnswer: 6072","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort 2, 1, -19 in decreasing order.\nAnswer: 2, 1, -19","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 5 a factor of 12305?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 682 and 1488.\nAnswer: 62","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 2 - (-7)\/(-5) - (-3521)\/2515?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 1 - -81. Suppose -164 = -s - 3*s - 2*b, 3*b + h = 2*s. Let d(q) = -q**3 + 4 - 47*q**2 + s*q**2 + 0*q**3 - q. Give d(-5).\nAnswer: -16","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q = -3*b + 4, -4*b + 58408*q - 58404*q + 8 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let n(o) = -19124*o - 38662. Determine n(-2).\nAnswer: -414","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 86 - -1?\nAnswer: 87","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -3 in -127, -9\/319, -3?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 116 and 3199222?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 2 + 0\/(-1) + -3. What are the prime factors of p\/(-2)*(-2 + 8)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 0 by 407.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (187*s + 5 - 5 + 184*s + 416*s)*(3*s - 5*s - 4*s).\nAnswer: -4722*s**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + (2 + -2*sqrt(272) + -4 + sqrt(272) + 2*sqrt(272))*1)**2.\nAnswer: -24*sqrt(17) + 281","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (h**2 - 6*h**2 + 2*h**2)*(104*h + 121*h - 363*h)*(0 - 6 - 3)*(-2 + 0 - 2) to x*h**2 + t*h**3 + o + n*h and give t.\nAnswer: 14904","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 231 less than 1.1?\nAnswer: -229.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 8370 and 66340.\nAnswer: 310","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in twenty-five halves of a day?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 849?\nAnswer: 3, 283","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(66)*-2 - (3*sqrt(66)*-3 + sqrt(66)))\/(-1*sqrt(18)\/sqrt(48)*-4).\nAnswer: -2*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 0.2 - 13.2. Let y = q + 9. Which is the third biggest value?  (a) -3\/2  (b) y  (c) -0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7082 is divided by 4260.\nAnswer: 2822","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 880*o**4 + 31*o**3 - o**2 + 2*o + 3330?\nAnswer: 10560*o**2 + 186*o - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 117033.\nAnswer: 3, 7, 5573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = r**2 - 32. Let u be x(-6). Suppose -j + 4*j - 2*p = -u, -5*p + 10 = 0. Solve -5*k - 4*b + 13 = j, -3*b = -k - 6 + 1 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 16 divide 21680?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a - 1576 = -2*l, 0 = -9*l + 5*l - 5*a + 3156. Suppose l = 12*w - 922. Suppose 3*x - 58 = x. Calculate the remainder when w is divided by x.\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 444586288?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 490 minutes before 1:04 PM?\nAnswer: 4:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b**3*b\/b**(1\/5))**23 assuming b is positive.\nAnswer: b**(437\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o = -5*b - 5*o - 12, -2*b - o - 3 = 0. Solve -2*n - 4 + 2 = b for n.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*i**5 + 538*i**4 - i**3 - 544529*i - 1 wrt i.\nAnswer: -40*i**3 + 6456*i**2 - 6*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -2*m**4 - 2*m**2 - 8186*m + 88604 wrt m?\nAnswer: -8*m**3 - 4*m - 8186","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 113 and 1326?\nAnswer: 149838","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-5346)\/(-7)*(-8 + 15) - 1. Suppose 4350 + p = 5*v. Is v a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sum -1.02 and 19882.8.\nAnswer: 19881.78","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*u - 2*d = 16, -1648*u - 25*d + 22*d = -1650*u for u.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*z = -4*a + 19, 17*z - 5*a - 69 = -23 for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 12222563039 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -675 - -671. Put -0.14, a, 0 in increasing order.\nAnswer: a, -0.14, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35899400.\nAnswer: 2, 5, 179497","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 x when two letters picked without replacement from {o: 3, e: 1, x: 4}.\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 27789003 and 99.\nAnswer: 27789003","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 28*u - 5*x + 305, 0 = 33578*u - 33579*u + 2*x - 71 for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -210115733\/281979292 + 102\/190013. Let c = t + -2\/371. What is the second biggest value in 2, c, 0.2, 0.06?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1598159 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d - p = -3*p - 1, -1 = 5*d - 2*p. Let o be 2 - (109*d - 1). Calculate the highest common divisor of 14 and o.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5 = -m, -5*m = 2*c - m + 12. Solve -6 = -c*d + 2 for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4773644 a multiple of 28?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 42*p**2 + 43*p**2 - 5 - 169*p**2 + 62*p**2 - 2*p**3 in the form n + a*p**2 + u*p**3 + r*p and give n.\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 0.13 times -0.06048\nAnswer: -0.0078624","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 809324 to the power of 1\/2, to the nearest integer?\nAnswer: 900","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 + 2 + (0 - (-5 - -2)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 1559 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let f(n) = 2*n**2 + 3*n**2 - 2*n**2. Let a = 34 - 28. Let w(k) = -2*k + 4*k - 7*k + a*k. Give w(f(u)).\nAnswer: 3*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from kzddkdzdk. What is prob of picking 1 d, 1 z, and 1 k?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*x = -t + 8, 29 = 5*t + x - 5*x. Let k be 28\/t + -6*4\/40. Suppose k*d = s + 74, 2*d - 4*s = s + 25. Calculate the greatest common factor of 15 and d.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify a*a*a*a**(6\/11)*a\/(a\/(a\/((a\/(a*(a*(a*a\/a**4)\/a)\/a))\/a)))*a*a assuming a is positive.\nAnswer: a**(50\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 42*b**2 + 13312*b - 639. What is h(-317)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.17706108 rounded to 4 decimal places?\nAnswer: 3.1771","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 297*f**3*z**3 + 9223*f**3*z**2 + 5425*f**2*z**3 - 63*f*z**3 wrt f?\nAnswer: 1782*z**3 + 55338*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 16508748 to the power of 1\/9, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 7. Let s(g) = 8*g**2 - 2*g**k + 4 + g**3 + 5. Is s(8) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) be the third derivative of s**6\/720 + s**4\/6 + 3*s**2. Let q(f) be the second derivative of i(f). Let r(x) = 2 - 2 + 3*x - 1. Determine -q(h) + r(h).\nAnswer: 2*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*h + 104 = -31. Let m = 47 - h. Sort m, -4\/3, 2\/7 in descending order.\nAnswer: m, 2\/7, -4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-1 + sqrt(300) + sqrt(300))**2 + -4 - sqrt(300) - (2*sqrt(300)*1 - sqrt(300))) + 3 + (-5 + sqrt(300) + 1 - sqrt(300)).\nAnswer: -60*sqrt(3) + 1196","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) = 4*x + 29. Let k be v(-17). Let j = 41 + k. What is the greatest common factor of j and 18?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 43790257 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 4 o when four letters picked without replacement from oolooolfofflolf?\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) be the third derivative of 0*n - 1\/12*n**4 + 0*n**3 + 4*n**2 + 0. Let w(c) = -2*c**2. What is g(w(a))?\nAnswer: 4*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*k + 3 = -0. Suppose y + 5*h + 22 = 0, 4*y = 3*h + k - 89. Let t = -18 - y. Solve -t*l = -2*c + 14, -4*l + 5*c - 2*c = 13 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - d + 4*d = -8, 0 = 5*p - d - 14. Suppose -4*s + r + 195 = 0, p*r + 56 = 3*s - 94. What is the greatest common factor of 6 and s?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/(10*(-481)\/(-130)).\nAnswer: -3\/37","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 216 divided by -2.\nAnswer: -108","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (-6)\/(-27)*3*-6. Let j(u) = -u + 1. Let i be j(p). What is the third derivative of 0*z**5 + z**2 - 2*z**2 - 2*z**i + 2*z**2 wrt z?\nAnswer: -120*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0.2 + 0.1. What is the nearest to -2 in 1, 0.4, k?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide -626 by 9.\nAnswer: -626\/9","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: 0.6*-0.35\nAnswer: -0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -71106, -71111, -71118, -71127, -71138, -71151, -71166?\nAnswer: -71183","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*g + 5*p = 251880, -9*g + 251915 = -4*g - 2*p. Is g composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3 = 5*v - 2*q, -5*v - q + 9 = -0. Let o = 615 - 615. Is (-3 - -2)*v + (o - -81) a multiple of 8?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -440 or -441?\nAnswer: -441","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 56059680 to the power of 1\/3, to the nearest integer?\nAnswer: 383","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: -22 (base 3) to base 4\nAnswer: -20","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 4, -23 in descending order.\nAnswer: 4, 1, -23","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p**(1\/12)*p\/(p**(2\/5)\/p)*p*p*p**(-3\/4)*p*p\/((p\/(p**(-6)\/p))\/p*p)*p assuming p is positive.\nAnswer: p**(-31\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*z + 191 = -81. Let n = -682\/5 + z. Let a = 161.96 - 161.86. What is the nearest to n in 5, a, -2?\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (3750\/(-216))\/25 - (-5)\/20.\nAnswer: -4\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6.1 times -48?\nAnswer: 292.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -15601 divided by -1\nAnswer: 15601","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j + 2*j = 3*i - 7, 5*j - 8 = 2*i. Let q be 39\/9 + -4 + i. Which is the biggest value?  (a) -3\/7  (b) 2\/15  (c) q  (d) 1\/2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 18026777 rounded to the nearest ten thousand?\nAnswer: 18030000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = -0*o - 4*u - 136, 0 = 5*o - 3*u - 137. Suppose -p - 60 = -2*v, 4*v - 8*p + 12*p - 108 = 0. Which is smaller: o or v?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 40*1*1*1. Let d = r - 39. Let v = -1.5 - -6.5. Which is the second biggest value?  (a) v  (b) d  (c) 3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z = 5*b + 40, 5*z + 3*b = -0*z + 228. List the prime factors of z.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 (base 2) in base 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7442.\nAnswer: 2, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5743 + 937 = -9*t. List the prime factors of t.\nAnswer: 2, 3, 89","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 20 - 2 = 6*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2268893, -2268899, -2268909, -2268923, -2268941?\nAnswer: -2268963","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h(f) = f**3 - f**2 + f + 8. Let b = 8 - 6. What is the remainder when (-4)\/(b*(-2)\/14) is divided by h(0)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 2  (b) 0.491  (c) -5322  (d) -0.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 3604\/279 or 14?\nAnswer: 3604\/279","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 182 is divided by 46?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -3*q. Suppose 32*y = 3*y + 58. Let v(f) be the third derivative of 2*f**y + 0*f**3 + 1\/24*f**4 + 0*f + 0. Calculate b(v(o)).\nAnswer: -3*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 33\/(-6)*(-11 + 13) - (-142)\/12. Determine d, given that -14\/3*d - i*d**4 + 17\/6*d**2 + 2 + 1\/2*d**3 + 1\/6*d**5 = 0.\nAnswer: -2, 1, 2, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5.65823 times -759?\nAnswer: -4294.59657","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let f(r) = -r**3 - 7*r**2 + 9*r - 15. What is f(-8)?\nAnswer: -23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:36 AM and 7:46 AM?\nAnswer: 130","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -4205, 2\/9, -7, -8, -19?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -4 + 5 + 4 - 1724*m**5 - 1 - 144*m + 153*m**5 wrt m.\nAnswer: -31420*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 4708460912?\nAnswer: 2, 67, 4392221","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 8 and 59.\nAnswer: 472","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let z(b) = 3*b - 1. Let q(u) be the first derivative of -1\/2*u**2 + 0*u + 6. Suppose -5*s - 14*j + 58 = -18*j, -23 = -s - 3*j. Give s*q(k) + 4*z(k).\nAnswer: -2*k - 4","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 78*y = -6*w + 74*y - 4, 3*w = -y + 5 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 44968 - 25026. What is the thousands digit of u?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = -11*l - 5*l**2 + 7*l - 12 + l**3 + 12*l. Let b be c(5). Solve 3*k = -5*t - 14, -3*k + b = k - 5*t for k.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express p**3 + 0*p**3 - 13*p**4 - 2*p + 85 - 4*p**3 - 321 + 262 as z*p**3 + x*p + j*p**4 + v*p**2 + a and give j.\nAnswer: -13","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (2 - 2 - (-2 + 3)).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 34 a factor of 305609?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f. Let u be ((-2)\/(-5))\/(1\/10). Suppose u*a = -n + 18, 8 = -n - n + 3*a. Let w(m) = 0*m**n - m**2 + 2*m**2. Give g(w(d)).\nAnswer: d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 12265\/119?  (a) 1\/5  (b) -0.1  (c) -0.8\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 547055473 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 0.1000998 nanoseconds?\nAnswer: 0.0000001000998","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v = -b + 2*v + 2, 2*b = v + 49. Let y = b + -20. Solve -4*w - 6 - y = -o, o = -5*w - 5 for o.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-15)\/(-10)*(-124)\/(-3). Suppose -5*u + 2*r - q = 0, -u + 0*u + 3*r - 2 = 0. Does 3 divide u\/((2 - 2) + -2)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16 = -i + 5*j, -i = -0*i - 2*j + 4. Suppose -y + 9*d - 7 = 4*d, i*y = 3*d - 11. Let m be 2\/(6 + (-12)\/3). Sort y, m, -1.\nAnswer: y, -1, m","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 4 - (-226503)\/(-6)*8. Round h to the nearest 10000.\nAnswer: -300000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*a + 1118 = a. Let f = 1029\/2 + a. Calculate the common denominator of (7\/6)\/((-14)\/133) and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g + 2*g - 12 = 0. Let c(i) = 5*i**2 - 6*i + 3 - 3844*i**3 - 3851*i**3 + 7694*i**3 + 7. Let x be c(g). Solve x*s - 20 = 6*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 646786 divided by 3.\nAnswer: 646786\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2*g*v**3*w + 5214*g*v**3 - g*v**2*w + 28656*g*v*w - v**3*w - 157*v**3 + 112*v**2*w - 2*v**2 wrt v?\nAnswer: -12*g*w + 31284*g - 6*w - 942","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 665, 2\/9 in decreasing order.\nAnswer: 665, 3, 2\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 9 + -5. Suppose -210 = -4*z - d + 26, -248 = -o*z + 2*d. Let i = 64 - z. Solve 0*n - 24 = n + i*m, 0 = 5*n + m + 25 for n.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor z**2\/8 - 5*z\/4 - 1503051\/8.\nAnswer: (z - 1231)*(z + 1221)\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -3*u + 15. Let a be d(13). Let q = a + 15. Let i(y) = 259*y**2 - 14*y - 5. Let l be i(q). What is l rounded to the nearest 1000?\nAnswer: 21000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(d) = d**3 - d. Let t(a) = -72*a**3 + 5*a - 10. Let i(q) = -4*n(q) - t(q). What is the second derivative of i(g) wrt g?\nAnswer: 408*g","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3400110 is divided by 4?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 5*m**2 - 3*m - 3. Let r(o) = 2*o**3 - 2*o**2 - 2*o. Let i be r(2). What is the remainder when y(i) is divided by 17?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*z**2 - 3*z + 6*z**2 + z + 2)*((0 - 1 - 3)*(-2 + 6 - 7) + 1 + 15 - 1)*(z - 3*z + z).\nAnswer: -81*z**3 + 54*z**2 - 54*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 2, -3, 472, -1 in ascending order.\nAnswer: -3, -1, 1, 2, 472","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 49284923062.9353 + -49282495644. Let z = 2427953 - u. Let x = z - 534. Round x to 2 dps.\nAnswer: 0.06","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 57 - 53. Solve 4*t = -s + 7, -p*t - 10 = 4*s - 2 for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-49 - 3*a + 49)*(-22994 + 2*a + 69*a**2 + 22994 + 16*a**2) as m + t*a + q*a**2 + y*a**3 and give q.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -816 <= -821?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) be the second derivative of 0 - 58*i**2 - 15*i - 43\/3*i**3. Find the first derivative of y(u) wrt u.\nAnswer: -86","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + ((sqrt(2) - sqrt(4)\/sqrt(2)*4 - sqrt(2)) + sqrt(2))**2 + -5 - (-4*sqrt(72) + sqrt(64)\/sqrt(8))) + -5.\nAnswer: 6 + 22*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 17094 and 10038.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 237575743 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = c**3 - 16*c**2 + 32*c + 28. Give w(10).\nAnswer: -252","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -349, -345, -341, -337, -333, -329?\nAnswer: -325","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*i + 9 = 4*g, i = 3*g - 4*i - 15. Suppose 3*h - 5*h + 14 = 0. Suppose -5*l = -5*a - 40, g = -2*l - 2*a - 3 + h. Solve l*o - 8*o + 9 = 0 for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -19 + 30. Suppose 5*y - p - 5 = a, 5*y + 3*a = 32. Solve -7*z - y*g = -3*z - 8, -z + 1 = 2*g for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 312 - 443. Let m = g - -130.9224. Round m to two dps.\nAnswer: -0.08","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 216*u**2 - 67*u.\nAnswer: 432","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -232 + -123?\nAnswer: -1021","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) = -2*p + 16. Let w be v(-6). Let r = -22 + 40. Suppose t - r = w. What is the tens digit of t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*x = -x + n - 2, -22 = -x - 5*n. Suppose -27 = -u - 5*z, x*u - z + 3 = u. Solve u + 3 = k for k.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(l) = 206*l**2 - 74*l - 482. Is 31 a factor of r(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_test"},"subset":"dm_maths"}
{"text":"Question: Simplify -6*((sqrt(32))**2*4 + 1).\nAnswer: -774","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (39\/2)\/(48\/288). Suppose -5*q - r = -177. Calculate the remainder when 95 is divided by q.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 305998 = -295*i + 304523 for i.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_test"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 40526010 to the nearest integer?\nAnswer: 343","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 279.5956542 - 1060.\nAnswer: -780.4043458","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/24 at least as big as -948746?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4069591?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -u**3 - u**2 + 2*u. Let w be l(-2). Let a be 52 - 49 - (1 + 0). Calculate the common denominator of (a\/(-10))\/(28\/(-370)) + w and -45\/14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 38\/120 + (-5)\/(50\/4)?\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ajmahjjjajaaamjjjj. Give prob of sequence ma.\nAnswer: 2\/51","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*s**4\/17 - 4*s**3 - 506*s**2\/17 + 72*s - 648\/17.\nAnswer: -2*(s - 1)**2*(s + 18)**2\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.02688369 + 213.7368?\nAnswer: 213.76368369","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is one tenth of a meter in millimeters?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -3\/4 in 2, 0, -0.29?\nAnswer: -0.29","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -4093, -8211, -12351, -16525, -20745?\n\"Answer: -2*b**3 + b**2 - 4107*b + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 57 divide 8907618?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = -p**3 - 6*p**2 - 9*p - 65. Calculate the lowest common multiple of 3 and k(-8).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2*h**2 + 3 + 0 + 6 + 1.\nAnswer: 2*h**2 + 10","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) = -3*i. Let t(w) = 8230*w. Give v(t(p)).\nAnswer: -24690*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is -4033.3 rounded to the nearest 100?\nAnswer: -4000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Add together -0.2 and -1881717.\nAnswer: -1881717.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = -2*d**2 + 4*d. Let n(i) = i**2 - 2*i. Suppose -2*q - 6 = 3*a - 0*a, 5*a - q = -23. Give a*r(y) - 7*n(y).\nAnswer: y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 391783004 to the power of 1\/2, to the nearest integer?\nAnswer: 19794","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-v - 4*v + 2*v)*(v**3 + 2*v**3 + 21*v**3).\nAnswer: -72*v**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 405981?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 265 and 424?\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -v = 4*n - 143 + 135, -2*v + 16 = 3*n. Solve n = -4*u + 4*m, -3 = -16*u + 17*u - 4*m for u.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(z) = -z**3 - 5*z**2 + 11*z - 6. Give p(-6).\nAnswer: -36","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (p*p*p**4\/p*p*p*p**(-5)*(((p\/p**(1\/3))\/p)\/p)**(2\/37))**(-1\/36) assuming p is positive.\nAnswer: p**(-107\/1998)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 718 to the power of 1\/3, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7601.\nAnswer: 11, 691","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -38271d (base 15) in base 4?\nAnswer: -22101012112","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bb when two letters picked without replacement from {l: 4, b: 2}.\nAnswer: 1\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 9 in 2\/3, -101, 20\/3?\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 1512 + -1512. Solve 3*w - 4*y = -8 - 24, f = -3*w - 3*y + 3 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: (-2541)\/(-693)*-1*2\/(-33)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 624592714 a multiple of 1406?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2248380?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3 - 2*j**3 + 3 + (4*j + 8*j - 5*j)*(-2*j**2 + 4*j - 4*j) + 4*j**3 + 0*j + 0*j + 0*j**2 + 0*j**2 + j**3 + 2*j**3 - 3*j**3 - j**3.\nAnswer: -13*j**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = 7*k - 7. Calculate x(12).\nAnswer: 77","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 39 + ((-11)\/((-22)\/8) - (31 - 24))?\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.050545 centuries in decades?\nAnswer: 0.50545","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in -5, 3, 1\/3, 19\/12?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(c) = 1529*c - 13. Let r be n(-3). Round r to the nearest one thousand.\nAnswer: -5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -5*l - 4. Let c be (-40)\/(-7) - 2\/(-7). Suppose -20 = c*w - 2*w. List the prime factors of g(w).\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) be the first derivative of -5*m**6\/36 - 5*m**5\/3 - 175*m**4\/24 - 125*m**3\/9 - 10*m**2 - 386. Solve q(o) = 0.\nAnswer: -4, -3, -2, -1, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 7584000 to the nearest 1000000.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 759\/(-13860) - 444\/(-2960)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.0468 * -10.1.\nAnswer: 0.47268","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -99  (b) -11  (c) -0.01  (d) -10  (e) 3\/4  (f) -2  (g) 0.4\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 84*u - 436065 - 161008 = 226631. List the prime factors of u.\nAnswer: 2, 4903","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0.5  (b) 6\/35  (c) 0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(2736)*-5 - sqrt(2736) - (3 + sqrt(2736) + -2*sqrt(2736))) + -2*sqrt(2736)*6 + -3)**2.\nAnswer: 3168*sqrt(19) + 1324260","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/11, -4530, -1\/8, 0.3 in increasing order.\nAnswer: -4530, -2\/11, -1\/8, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 27\/4?  (a) -0.038  (b) -2  (c) -5  (d) 0.3  (e) 0\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 195 + 2*l**2 - 8*l**2 + 9*l**2 + 423 + 338.\nAnswer: 3*l**2 + 956","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(x) = -10*x - 7*x**2 - 10 + 10*x**2 - x**3 + 9*x**2. Let j = -146 + 157. Let v be y(j). Solve 4*k + 4 - 1 = -5*g, 0 = -3*g - k + v for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 145197091 to the power of 1\/3, to the nearest integer?\nAnswer: 526","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {v: 6, z: 7}. Give prob of picking 1 z and 2 v.\nAnswer: 105\/286","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((q**(1\/19))**4\/(q**(-1\/17)*q*q**(-17)))**(-24) assuming q is positive.\nAnswer: q**(-126120\/323)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of (-80428)\/(-8) + (385\/(-14))\/11?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3158*x**2 - 1436*x**2 + 4592*x**2.\nAnswer: -2*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Factor 9*o**3\/2 - 190*o**2 - 56463*o\/2 + 6283.\nAnswer: (o - 103)*(o + 61)*(9*o - 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 40\/6*((-156)\/325)\/(20\/50)?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 111\/5 + -23. Let n = -2.596 - -2.59. Let v = 0.106 + n. Sort -3\/4, t, -4, v.\nAnswer: -4, t, -3\/4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 383 is divided by (2 - 0)*7\/(-28)*-42?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 4\/7  (b) -0.5  (c) -2  (d) 1  (e) 1541\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 1\/5  (b) -70  (c) 0.09\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 25*-0.033.\nAnswer: -0.825","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(y) = -1 + 5*y - y + 4*y - y**2 + y. Calculate the remainder when 78\/4 + (-2)\/(-4) is divided by w(8).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4504 is divided by 491.\nAnswer: 85","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -1149527*d**3*r**2 + 4*d**3*r - d**3 - 8*d*r - 7529*d wrt r.\nAnswer: -2299054*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) = -x**3 - 17*x**2 + 1320*x - 7075. Give f(6).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c - 20 = -4*n, 4*c + 3*n = 3 + 14. Solve 5*w + 16 = -4*o, 5*o - w + 18 = -c for o.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5461 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Work out -21 * -22.\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*l - 99*a + 94*a = 20, -5*l - 4*a = 18 for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in twenty-six sevenths of a week?\nAnswer: 37440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 462 minutes after 6:00 PM?\nAnswer: 1:42 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Convert -104 (base 14) to base 5.\nAnswer: -1300","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 14446 + 373968?\nAnswer: 388414","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(2736) + -2 + ((sqrt(2736) + sqrt(2736)*-2)*-1 - sqrt(2736)))*3.\nAnswer: -18 + 36*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 - 3 + 5)*(j + 3*j - 2*j) - j + 6*j + 0*j + (2 + 4 - 4)*(j + j - 3*j) + 3*j - 2*j - 4*j.\nAnswer: 12*j","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*j - 4 = -6*j. Suppose -2*v + r + 101 = 3*v, -41 = -j*v + r. Calculate the least common multiple of (2\/(-3))\/(5\/(-45)) and v.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -3581 less than -3579?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -12992444, -25984871, -38977298?\nAnswer: -51969725","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Determine g, given that -2*g**3\/9 - 753988*g**2\/9 - 3015920*g\/9 = 0.\nAnswer: -376990, -4, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -1.644 + 1.641. Which is smaller: r or -9?\nAnswer: -9","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*w**4 - w**4 + 2*w**4)*(-4*w + 4*w + w + (1 - 1 - 2*w)*(0 + 0 - 2) + 7*w - 8*w + 10*w).\nAnswer: 42*w**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5*((0 + sqrt(243) + -4 + sqrt(243)*-2 + -6*2*sqrt(243))*3)**2.\nAnswer: -1848735 - 42120*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1001222 (base 4) to base 13.\nAnswer: -1bb3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 78920, 78913, 78902, 78887, 78868, 78845?\nAnswer: 78818","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13 = 5*o - 27. Suppose 5*k - 10 = 3*k. Suppose -3*t - 4*w + o = -t, -k*t + 38 = 4*w. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -82534, -165071, -247614, -330163, -412718, -495279?\n\"Answer: -3*c**2 - 82528*c - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: 6443817.27067+-403\nAnswer: 6443414.27067","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z\/z**0)**20)**(-2\/9)*((z\/z**(-6))\/(z**0*z))\/(z**0)**(1\/33) assuming z is positive.\nAnswer: z**(14\/9)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 132065?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 21412355?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*f + 107309 = 38*f + 105993 for f.\nAnswer: 28","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*g = -46032 - 21324. Is g a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -1.01 - -1.15. Let k = -2.86 - m. Sort -4, 5, 0, k in descending order.\nAnswer: 5, 0, k, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (-1 - 0)*-5*1. Suppose -m + 0*m = -3. Let v = 2 + m. Is v >= y?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 261 is divided by 50?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round 398.3635541 to 1 dp.\nAnswer: 398.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let s be ((-4)\/8)\/(2\/(-44)). Let h = s - 24. Let r = -3 - h. What is the tens digit of r?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -74311*n**2 + n**3 + 16*n**3 + 74314*n**2 - 3 + 4*n in the form d*n**3 + x*n**2 + i + a*n and give a.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 392 divided by -98\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*t - 3*z = 15, -249*z = -5*t - 246*z + 47 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*c = 3*k - 83 + 23, 4*k - 28 = c for k.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3652 and 2421193?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x - 8 = 2*x - 7*x + 3*b, 22*x + 52*b - 55*b + 32 = 0 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let y(u) = 3*u**2 - 2. Let p(w) = 12*w**2. Give p(y(k)).\nAnswer: 108*k**4 - 144*k**2 + 48","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 2145 a multiple of 33?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r, 1 t, and 1 i when three letters picked without replacement from {t: 3, r: 1, p: 7, i: 4, m: 2, n: 1}.\nAnswer: 1\/68","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -34*i + 22*i + 17*i + 45 = 0 for i.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b(z) = z - 3985. Let j(v) = -v + 3960. Calculate 4*b(h) + 3*j(h).\nAnswer: h - 4060","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (0 - -1)\/((-1)\/9). Let v be (-4)\/((-4)\/(-7))*a. Suppose -v = -4*i - 19. What is the tens digit of i?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 21970 and 4056.\nAnswer: 263640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 670 minutes before 10:14 PM?\nAnswer: 11:04 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is thirty-four fifths of a decade in months?\nAnswer: 816","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 49 + -99. Let s = -28 - n. Calculate the smallest common multiple of (2\/4)\/((-2)\/(-88)) and s.\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 254 + -244. Solve -17 = -u*z + 3 for z.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be ((0\/(-2))\/2)\/1. Let p be -2 + 1 + 19 + q. Suppose -4*z = -z + p. Let t(d) = d**3 + 7*d**2 + 8*d + 9. Calculate t(z).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -90609, -181189, -271695, -362091, -452341, -542409, -632259, -721855?\n\"Answer: 6*i**3 + i**2 - 90625*i + 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*x - 7*x = -304. List the prime factors of ((-4)\/8*-3)\/6*x.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (2*(-2)\/40)\/(604\/1510).\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7971000 and 332125.\nAnswer: 7971000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -18\/44405 and -1\/157825.\nAnswer: 13099475","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let u(q) = -q**2 + q - 1. Let n(z) = -39*z - 1216. Let w be n(-31). Let j(l) = 7*l**3 - 7*l**2 + 7*l - 7. Give w*u(i) + j(i).\nAnswer: 7*i**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence hgg when three letters picked without replacement from hhgrgrrrr?\nAnswer: 1\/126","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-1\/5)*l**(-1\/2)*(l**1\/l)**(-1\/11))\/((l**5\/(l*l*l**1))\/(l**(-2\/7)\/l*l*l)**(2\/39)) assuming l is positive.\nAnswer: l**(-7271\/2730)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = m**3 - 2*m**2 - 4*m - 5. Let g be j(4). Suppose -g = -l + 11. Suppose -l - 2 = -3*q. Does 7 divide q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 6*h*n**6 + 112*h*n**4 - 29*h*n**2 + h + 10*n**2 wrt n?\nAnswer: 720*h*n**3 + 2688*h*n","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify y**(1\/6)*y\/(y\/(y*y**(8\/3)*y*y*y)) assuming y is positive.\nAnswer: y**(41\/6)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/2*(1974\/21)\/(-94)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_test"},"subset":"dm_maths"}
{"text":"Question: Let t = 0.1 - -0.1. Let m be (-9)\/6*4\/39. What is the third biggest value in -3, m, t?\nAnswer: -3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4 - 3*h + 4)*(-6*h + 3*h + h)*(590 + 2183*h + 2002*h - 591).\nAnswer: 25110*h**3 - 6*h**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor l**3 + 0*l**2 + 2*l**2 + 11 - 3 + 3*l - 9*l - 5*l**2.\nAnswer: (l - 4)*(l - 1)*(l + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the second derivative of l**5\/20 - 5*l**4\/4 - 5*l**3\/2 - 3*l**2 + 10*l. Let v be j(16). Sort -2, v, 2, 4 in increasing order.\nAnswer: -2, 2, 4, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 12, 9, 6, 3?\n\"Answer: -3*x + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -85.98 + 86. Let i = 221.34909966 + -221.3691. Let d = i + z. Round d to seven decimal places.\nAnswer: -0.0000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6*h - 15*h + 11*h - 4*h.\nAnswer: -2*h","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((l**(-2\/17))**(-13))**(-2) assuming l is positive.\nAnswer: l**(-52\/17)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -16*y = -62 + 30. Let c be 73\/y*(13 - 10\/(-2)). Calculate the highest common factor of 73 and c.\nAnswer: 73","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -6835 - 2?\nAnswer: -6837","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 5 + -14cb?\nAnswer: -14c6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Factor -21*n**2\/2 - 229767*n\/2 - 32823.\nAnswer: -3*(n + 10941)*(7*n + 2)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.00169 - 0.35831. Which is the closest to 0?  (a) 4  (b) s  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1488150, 1488148, 1488146, 1488144, 1488142, 1488140?\n\"Answer: -2*q + 1488152","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-31)\/(-40) + (-18)\/48. Let s = -208 + 211. Which is the nearest to s?  (a) v  (b) 7  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*k + 8 = -2*h, 96*h = -5*k + 98*h + 17 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 22109?\nAnswer: 22109","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 24*q**2 - 5*q**2 + 2*q**3 + 22*q**2 + 21*q**2.\nAnswer: 2*q**3 + 62*q**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2755\/231 - 176\/21. What is the common denominator of (((-2)\/(-4))\/1)\/(4\/(-376)) and j?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 2 by -452.\nAnswer: -1\/226","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from bobcbbbcyby. Give prob of sequence bc.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -18 minus 137340577997.3?\nAnswer: -137340578015.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let q be -8 - (1 - (6 + -1)). Put -1, -3, q in decreasing order.\nAnswer: -1, -3, q","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 457 minutes before 11:29 PM?\nAnswer: 3:52 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2 + (sqrt(98) + 1 + sqrt(12)\/(sqrt(96) - sqrt(6)) + 1 - (-2 + sqrt(200) + 1 + 0)**2)*1.\nAnswer: -197 + 82*sqrt(2)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 135045 is divided by 109?\nAnswer: 103","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**2 + 136*k + 2267. Let x be c(-15). Solve -w - 4*s - 128 = -139, 2*w + x*s = -2 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000073 to seven decimal places.\nAnswer: 0.0000007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -0.4  (b) 5  (c) 227\/570\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -5*15\/40*2\/(-969)*14 and 77\/204.\nAnswer: 3876","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 301, 282, 261, 244, 237, 246, 277?\nAnswer: 336","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 1527974*x**4 - 1193661*x**2 wrt x.\nAnswer: 36671376*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 1959, 7799, 17497, 31041, 48419, 69619?\nAnswer: 94629","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_test"},"subset":"dm_maths"}
{"text":"Question: What is 213540 to the power of 1\/2, to the nearest integer?\nAnswer: 462","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Expand -w**4 + 2*w**3 - 2*w**3 + (-2*w**2 + 3*w**2 - 2*w**2)*(-573*w + 1097*w + w**2 - 567*w).\nAnswer: -2*w**4 + 43*w**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0 (base 6) to base 16.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 66042?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 6122370200?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 0.7305379 milligrams?\nAnswer: 730537.9","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 52450?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8 = n - 4*n - 4*l, 0 = 3*n + 2*l + 4. Let w be n\/(-4) - (-9)\/3. Suppose 4*i - 6*i = w*i. Put -2, i, -5 in descending order.\nAnswer: i, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3048183 divided by -196\nAnswer: -3048183\/196","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) be the second derivative of -1\/4*h**4 + 1\/2*h**2 + 1\/20*h**5 - 2 - h - 1\/6*h**3. Let v(l) = l**2 - 2*l. Let q be v(3). Calculate c(q).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*v**4\/3 - 35482*v**3\/3 = 0.\nAnswer: 0, 17741","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 217944 and 243?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:53 AM and 12:37 PM?\nAnswer: 644","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 9 + 5 + 29*y - 80.\nAnswer: 29*y - 66","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 166294918?\nAnswer: 2, 17, 4891027","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*b**2 + 408*b - 4966 = 0. What is b?\nAnswer: 13, 191","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: 3222203 (base 5) to base 7\nAnswer: 315261","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 7\/(-21)*6\/10. What is the closest to -1\/30 in 3, -0.5, o, -1\/4?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = 41*d**2. Let h(i) = 13*i**2. Determine h(p(k)).\nAnswer: 21853*k**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-18)\/20)\/(6\/(-190))*-8. Let i = d - -231. Sort i, 2, 54 in increasing order.\nAnswer: 2, i, 54","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-1916)\/38*9912\/(-182). Let t = n - 2746. Which is smaller: -1 or t?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 226 + -5?\nAnswer: 221","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 924?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from {x: 5, o: 3}.\nAnswer: 1\/56","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z - 2. Let r(f) = 2. Let p(y) = 3. Let m(i) = -5*p(i) + 7*r(i). Give c(k) - 3*m(k).\nAnswer: k + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-27 + 36*h + 27)*(-6*h**4 + 18*h**4 + 10*h**4).\nAnswer: 792*h**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 k, 1 d, and 1 l when four letters picked without replacement from {k: 2, f: 1, l: 5, d: 1, j: 1}?\nAnswer: 1\/42","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/(-1)*(7084\/(-33))\/28?\nAnswer: 23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -21*t**2 + 3*t - 1. Suppose 2*d + 2837*h + 1 = 2836*h, -h = 5. Let c(n) = -20*n**2 + 2*n - 1. What is d*r(x) - 3*c(x)?\nAnswer: 18*x**2 + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*a = -359 + 323 for a.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*j - 2 - 4. What is the remainder when 4 is divided by j?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -421 + 52 = -9*g. What is the units digit of g?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 32, 71, 190, 431, 836, 1447?\nAnswer: 2306","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 186\/(-279)*525\/(-14) - 108\nAnswer: -83","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -2, -1, -22 in increasing order.\nAnswer: -22, -4, -2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) be the third derivative of -w**5\/60 + w**4\/2 + 8*w**3\/3 - 3*w**2. Let a be t(13). Solve 0 = p - 7 + a for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*n + 0*n - 1 + 4*n)*(-n**4 + 3*n**2 - 3*n**2).\nAnswer: -n**5 + n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: 1383 * -0.4\nAnswer: -553.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10011 + -1010111100?\nAnswer: -1011001111","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -51\/160 and -97\/2528?\nAnswer: 12640","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 3.3  (b) -475  (c) 0.3  (d) 1\/4  (e) -0.3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -183330 + 314530. Round v to the nearest 100000.\nAnswer: 100000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence mv when two letters picked without replacement from {h: 2, m: 6, s: 2, v: 1}?\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -1.06*-4168.\nAnswer: 4418.08","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -1 + 5. Calculate the remainder when 10 is divided by -1 - a\/(-1) - -1.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 33 a factor of 203308323?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is 15 a factor of 70021?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -4, -142, 4?\nAnswer: -142","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1 - (16 + 2))*10\/4. Let t = 48 + c. Sort t, -3, -7 in increasing order.\nAnswer: -7, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 236337041 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -3886 - -4111. Calculate the greatest common divisor of 1665 and b.\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2043215?\nAnswer: 5, 408643","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 2*z = -0*z + 13, -3*z = -k - 13. Let h = -46 + 43. Put -5, h, k in ascending order.\nAnswer: -5, h, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 15555003?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 93\/114*-6 - -5.\nAnswer: 2\/19","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -6561 - -4?\nAnswer: -655a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let l(i) = 3269*i - 3313. Give l(1).\nAnswer: -44","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 2.9 + -3.1. Let s = -2.01 + 0.01. What is the second biggest value in h, -0.4, s?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes after 2:49 PM?\nAnswer: 3:01 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*d**2 + 14*d**2 - 22*d**2 + 7*d**2.\nAnswer: -d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -22811.2129 + 22609.23. Let w = 0.0171 - z. Let n = w + -201.9838. Round n to 3 dps.\nAnswer: 0.016","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -55 + 57. Suppose 7*f - p*f = 9500000. Round f to the nearest 1000000.\nAnswer: 2000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/(378\/(-135)))\/(((-320)\/84)\/8)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -230e74 (base 15) in base 6?\nAnswer: -55513244","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 3 - -4. Let p(k) = k**2 - 6*k - 4. Let l be p(s). Suppose n - 3*w = -n + 26, -4*n - l*w = -16. Is n a multiple of 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 9 + 4265*h**2 + 78 - 4260*h**2 - 13 - 79*h = 0. Calculate h.\nAnswer: 1, 74\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:27 PM and 2:40 AM?\nAnswer: 373","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pp when two letters picked without replacement from aapaapaaapp.\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -280*g*q**2 - 36*g*q - 3*g - 2*q**2 - 2 wrt q.\nAnswer: -560*g - 4","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(n) be the first derivative of -n**7\/1050 + n**6\/300 - n**4\/60 + n**3\/30 - n**2\/2 + 4. Let z(b) be the second derivative of a(b). Solve z(k) = 0 for k.\nAnswer: -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - 3*g = -244. Let v be (300\/(-60) + (-294)\/(-10))*20. Calculate the highest common factor of g and v.\nAnswer: 61","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*p = -3*p + 48. Let g = p + -11. Solve -3*b + 3 = -0*v + 5*v, 5 = g*b + 2*v for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 5 + -2. Suppose -3*q = -2*h + 12, -d*q = -5*h + 24 + 6. Suppose -h + 17 = t. Is t composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -10 + 15. Let l = 4 + w. Calculate the remainder when 17 is divided by l.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7191 > 3?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 1*(-2)\/8*50\/(-125)?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1244054279?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-3 + 1 + 3)*(-11*v**2 - 3*v**2 + 7*v**2)*((-6 + 33 + 26)*(-1 - 1 + 3) + (-3 + 2 + 2)*(6 - 1 - 3)) to z*v**2 + o + t*v and give z.\nAnswer: -385","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -2 - 3. Let f = -19.4 + 20. What is the nearest to -1 in k, 1, f?\nAnswer: f","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -95 divided by -33\nAnswer: 95\/33","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Work out 323.56 - 19.94.\nAnswer: 303.62","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 1\/9 and (-4 - -2)*5*(-28)\/(-216)?\nAnswer: 27","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 11754937?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round -6713910 to the nearest one hundred thousand.\nAnswer: -6700000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g + 12 = -y, -2*y = 4*g - 6 - 2. Let f = 5 + y. Which is the third smallest value?  (a) -0.11  (b) f  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 83 + -79. Suppose u*c + z = -c + 267, -102 = -2*c + 2*z. Calculate the remainder when 262 is divided by c.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 850191976?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is (-8*45)\/(3\/(-2)) a multiple of 32?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -30\/109 or -1?\nAnswer: -30\/109","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -2.0169 and -48?\nAnswer: 96.8112","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 3120805691 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*x**5 - x**5 + 2*x**5 + (-3*x**3 + x**3 + 0*x**3)*(4 - 4 + 2*x**2) - 3*x**5 + x**2 - 4*x**2 - 2*x**5.\nAnswer: -10*x**5 - 3*x**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = d + 11. Let r = 2 + 0. Let u = -5 - r. Let n be p(u). Solve -n*l = a + 11, 3*l = -3*a + 2 + 1 for a.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*k**3 + 2*k**3 - 3*k**3 - 2 + 2 + k**3 + (4*k**2 - 2*k**2 - 4*k**2)*(4*k + 2*k - 4*k) + 96*k**3 - 344*k**2 + 162*k**3 + 346*k**2.\nAnswer: 254*k**3 + 2*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 529 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 445\/(-1246)*(-3 - (-796)\/260).\nAnswer: -2\/91","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 8 + 0*a**2 - 10 - a**2 + (a + 0 + 0)*(-3*a - 4*a + 2*a).\nAnswer: -6*a**2 - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1 divided by 1402.\nAnswer: 1\/1402","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 461 a factor of 271068?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ooooooooo. Give prob of sequence oooo.\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k + 23 = 8. Let f(b) = 1 + k*b + 0*b + 1. Let u be (-2)\/19 - (-23)\/((-8740)\/(-1560)). Let p(y) = 2*y + 1. Calculate u*p(d) - 3*f(d).\nAnswer: -d - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 less than 0.6026?\nAnswer: 2.6026","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(a) = -29*a**2 - 26*a + 24. Let x(q) = 30*q**2 + 24*q - 24. Give 11*v(g) + 12*x(g).\nAnswer: 41*g**2 + 2*g - 24","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 5*i**3 - 4*i**3 + 128*i**2 + 161*i**4 - 108*i**2 wrt i?\nAnswer: 3864*i + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -y**4 + 3*y**2 + 894*y - 681 wrt y.\nAnswer: -4*y**3 + 6*y + 894","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 94390954169 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: 791805 * 5\nAnswer: 3959025","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 1849002?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 14*v**2 + 412*v - 835. Calculate s(2).\nAnswer: 45","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ll when two letters picked without replacement from {z: 4, f: 1, j: 1, l: 2, v: 3}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -76, 5, 0, 2285 in decreasing order.\nAnswer: 2285, 5, 0, -2, -76","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 38965020, 38965015, 38965010, 38965005, 38965000?\nAnswer: 38964995","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13 - -10 - 24 - -23.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 274926995?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 7270594 and 210188.\nAnswer: 159953068","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0042967 to 4 decimal places.\nAnswer: 0.0043","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) = -z**3 - z**2 + 4. Suppose p - 1 = 4*h, -2 = -4*h - 8*p + 6*p. Let w be u(h). Which is the biggest value?  (a) -3  (b) 3  (c) 7  (d) w\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1110\/185*(-1)\/(-645)*-10?\nAnswer: -4\/43","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3*z + 2*z - z)*((-2 + 2 - 2)*(0 - 3 + 1) - 3 - 9 + 1) + z - z + 2*z)*(-2 + 11*z**2 - 18*z**2 + 10*z**2).\nAnswer: 48*z**3 - 32*z","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*a**3\/7 - 1593*a**2 + 1824654*a\/7.\nAnswer: -3*a*(a - 157)*(a + 3874)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(32)\/sqrt(2)*-3)\/(-2*sqrt(16)\/sqrt(2)).\nAnswer: 3*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sort -25, -30, 1 in increasing order.\nAnswer: -30, -25, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2196\/488*(12\/5)\/((-1953)\/(-620)). Factor 0 - 6\/7*w**2 - 3\/7*w**4 + 15\/7*w**3 - y*w.\nAnswer: -3*w*(w - 4)*(w - 2)*(w + 1)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-200)\/(-150)*(-4)\/(-56)?\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0*-1.7.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -20.4 times 11815?\nAnswer: -241026","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 271ab2c + 3?\nAnswer: 271ab32","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let x(a) = -a + 10. Let d be x(7). Is 5 a factor of (6*1)\/(d\/4)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -5 + (-2 - (-10 - -1)).\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 25*j - 2*j + 23 for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 11758?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 61600 + 16403 = 81*p. What is the highest common factor of 9 and p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:47 PM and 9:42 PM?\nAnswer: 235","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - (-7 + 2 + -1 + 0)) + 10?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 42713862?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 373*y = 79*y - 23774 - 19605 + 16331 for y.\nAnswer: -92","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (-12 - -6 - (-4 - (-4 - -5))) + -3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose g = -2*g + 138. Let i(k) = 3*k**2 + 44*k + 45. Calculate the remainder when g is divided by i(-14).\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 2*h - 2*d = -27, -5*h = 5*d - 125. Let m = -18 + h. Suppose -y = -5*t + 2*y + 10, 0 = -4*t + m*y - 5. Solve t*o - 8 = o for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 1400952*y - 163821. Let g(w) = 6935*w - 811. Let n(t) = 807*g(t) - 4*v(t). What is the derivative of n(s) wrt s?\nAnswer: -7263","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/191 in -4\/19, 1\/4, -1\/11, 1.2, -0.3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = -4*v - 16. Let l(h) = 6*h + 24. Let q(y) = -5*l(y) - 8*s(y). Is 6 a factor of q(8)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 35035 and 245.\nAnswer: 245","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 12\/9 + 4\/6. Let f(o) = -6*o**m - o + 7*o**2 + o. Let d(c) = 2*c. Give d(f(n)).\nAnswer: 2*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12*a = -23*a + 7*a. Suppose 2*v + a*v = 5*b + 13, 0 = v + 5*b + 16. Sort v, 147, 4.\nAnswer: v, 4, 147","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 3441.\nAnswer: 3, 31, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -1904992087\/24 - -79386499. Let k = -11824 + n. Let z = -1052\/7 - -23249\/154. Find the common denominator of k and z.\nAnswer: 264","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = -o**3 + 8*o**2 - 7*o + 1. Let m be z(7). Let p(s) = -3*s + 1. Let l be p(-2). What is the greatest common divisor of m and l?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -30*j = -23*j - 14. Suppose j*w + 39 = 165. Calculate the remainder when w is divided by 11.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -435*u**2 - u. Let s be o(-1). Let c = s - -2419. Is c a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2f (base 16) in base 11?\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find y such that -9*y**4\/5 - 48*y**3\/5 + 138*y**2\/5 + 48*y + 63\/5 = 0.\nAnswer: -7, -1, -1\/3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 296.4 - 296. Which is the smallest value?  (a) -2  (b) g  (c) -0.6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is eighteen fifths of a centimeter in millimeters?\nAnswer: 36","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Round -5174986.03 to the nearest one hundred thousand.\nAnswer: -5200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 886 - 841.6. Let w = 45.1 - t. Let q = -0.1 - -0.1. What is the nearest to 0 in -3, q, w?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 29\/8 and -43\/469854?\nAnswer: 1879416","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1034?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*r**3 + 11759042*r**2 + 139640904*r - 17638848 = 0.\nAnswer: -12, 1\/8, 734952","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1632\/(-2720)*1640\/12.\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2138*b**3 + 2*b + 0*b - 2139*b**3 - 2*b.\nAnswer: -b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Is -35 at most as big as 26?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one tenth of a litre?\nAnswer: 100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 u, and 1 x when three letters picked without replacement from {e: 1, u: 1, k: 1, x: 1, y: 2, c: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*q + 31*b - 6591 = -6541, -5*q + 115 = 2*b for q.\nAnswer: 21","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: (42\/(-9) - -6) + -3\nAnswer: -5\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 438559.\nAnswer: 11, 39869","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-30)\/(-12))\/(10\/48). What is p in 3260*p**2 - 3296*p**2 - 4*p + r*p = 0?\nAnswer: 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((g**(-7)*g)\/g)**41 assuming g is positive.\nAnswer: g**(-287)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*r**3 + 275*r**2 + 1130*r - 6000 = 0.\nAnswer: -50, -8, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -10595, -42345, -95261, -169343, -264591, -381005, -518585?\n\"Answer: -10583*y**2 - y - 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 2721?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence of when two letters picked without replacement from {o: 1, h: 2, f: 5, n: 1, i: 5, k: 5}?\nAnswer: 5\/342","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {b: 1, u: 4, f: 1, t: 3, d: 1, c: 2}. What is prob of picking 1 c and 3 u?\nAnswer: 8\/495","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Add -20101 and 86064.\nAnswer: 65963","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*w + 4*i - 22 = 0, 2 = -5*w + 2*i + 2*i. Suppose 0 = -2*m - w*d + 57 - 13, -2*d = -2. Solve 0 = -6*r + m*r - 75 for r.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1 in -0.3, 35\/6, -27, 0.073, 0.1?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 2*j - 4*j + 50 = 0, 0 = -5*l + 2*j - 65. Let u be l\/4*44\/33. Put -1, 2\/11, u, -0.1 in ascending order.\nAnswer: u, -1, -0.1, 2\/11","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14570, -58220, -130980, -232844, -363806, -523860, -713000?\nAnswer: -931220","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = -k**3 + 6*k**2 - 8*k. Suppose -133*b + 135*b = 8. Let t be c(b). Let i be 0\/(1 - (2 - t)). Solve i = 5*x - 4*x + 2 for x.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -3230, -6462, -9694, -12926, -16158?\n\"Answer: -3232*b + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of -70*g**2*q**3 + 3*g**2*q**2 + 86*g*q + 49296*q**3 + q**2 + 2 wrt g.\nAnswer: -140*g*q**3 + 6*g*q**2 + 86*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/3  (b) -2  (c) 3  (d) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 61119 + -41051. What are the prime factors of l?\nAnswer: 2, 29, 173","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (97 + 27*g - 97)*(3 - 1 - 1) + (3*g + 0*g - g)*(1 - 2 + 3) + 4*g - 2*g - 3*g + (-6*g + 0*g + 4*g)*(0 + 3 - 1).\nAnswer: 26*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Add together 4572798.4 and -3.\nAnswer: 4572795.4","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2 + ((-1 + sqrt(320) - sqrt(320))*2 - 3*(-1*sqrt(320) + sqrt(320))) + -5)**2.\nAnswer: 81","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 2668 and 184.\nAnswer: 92","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2788, -2731, -2676, -2623?\nAnswer: -2572","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 3213904 to the power of 1\/7, to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 81584585*t**3 - 42416*t**2 + 30*t.\nAnswer: 489507510","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = 2*r + 1. Let i(d) = 2*d. Let x(w) = 4*i(w) - 3*y(w). Let c be x(2). Let j be -1 + 3\/c - -7. Solve 4*f - j = 7*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -7*l**3*o - 94*l**3 - 8740*l**2 - l*o wrt l?\nAnswer: -42*o - 564","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.0686 - -0.0686. What is the third biggest value in -3, -1\/4, w, 0.5?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 242 - 244. What is the nearest to -1 in 0.5, 13, h, 2\/13?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 63 divide 603?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -12641*a**3*m*u**3 + 2*a**3*m*u**2 + 2*a**3 - 7*a**2*m*u**2 + 2*a*m*u**2 - 2*a*u wrt u?\nAnswer: -75846*a**3*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t - 1172*u - 34360 = -1177*u, 0 = -2*t - 3*u + 34344. What is t rounded to the nearest 100000?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*b + 2*b - b)*(-1 + 1 + 2*b**2) - b**3 - 2*b**3 + b**3 + 3 - b**3 - 3 + 12 + b**3 - 12 - 2*b**3 + 4*b**2 - b**3 + 2*b**3.\nAnswer: -5*b**3 + 4*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-271)\/231705*-12)\/((-24)\/(-15)).\nAnswer: 1\/114","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2\/9, -55, 1\/6, 2, 2\/585 in increasing order.\nAnswer: -55, -2\/9, 2\/585, 1\/6, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 14\/4*(-24)\/(-14). Let o(r) = -r**2 + 10*r - 29. Let h be o(f). Which is greater: h or -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -376*g - 1890 - 619 = 6139 for g.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1742?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 822?\nAnswer: 2, 3, 137","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00001510576 rounded to six decimal places?\nAnswer: -0.000015","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -16473580*u**4 + 7564983*u**2 - 3 wrt u.\nAnswer: -395365920*u","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: (4*3\/(-14))\/((-65)\/((-573300)\/(-84)))\nAnswer: 90","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((1*sqrt(168))\/sqrt(12))\/(sqrt(162) - (sqrt(162) - (sqrt(162) - (-1*sqrt(162) - sqrt(162))) - sqrt(162))))**2.\nAnswer: 7\/1296","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -251 + 1126. Calculate the highest common factor of n and 105.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 + 3 - 3*r)*(r**4 - r**4 - 3*r**4) + (-2*r - 2*r + 6*r)*(5*r**4 - 3*r**4 - 3*r**4) + r**5 + r**2 - r**2 + 0*r**5 + 2*r**5 - 4*r**5 + 2 - 2 - r**5.\nAnswer: 5*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l**(-2\/9))**(-5\/2)\/(l**0)**3*(l\/(l\/(l\/l**(1\/8))))\/(l*l\/l**(2\/3))*(l**(1\/2)\/l)**49 assuming l is positive.\nAnswer: l**(-1757\/72)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*z**2 - 6600*z - 6595 = 0. What is z?\nAnswer: -1319, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 divided by 34181?\nAnswer: 2\/34181","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2*sqrt(100)*2 + sqrt(100) + sqrt(100)*-2*-4)\/(1*(sqrt(7260) + -2*sqrt(7260))\/sqrt(12)).\nAnswer: -26*sqrt(5)\/11","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00000106974 to 7 decimal places.\nAnswer: 0.0000011","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -39147 or -117440\/3?\nAnswer: -39147","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -0.01 + 0.31. What is the second smallest value in 2, o, -2?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, -3, -149, 4, 25, 5 in decreasing order.\nAnswer: 25, 5, 4, 0, -3, -149","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -123 - -126. Let k(b) be the second derivative of 0 - 4*b - 1\/30*b**4 + 2\/5*b**2 - 1\/15*b**p. Factor k(y).\nAnswer: -2*(y - 1)*(y + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -55*(-10)\/450 - (2 - 1).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 14, 18, 22?\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -29*y + 62 = -112 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -11*k**3*v**3 - 2*k**3 + 28*k**2*v - 9*k*v + 1752*v**3 wrt v?\nAnswer: -66*k**3*v + 10512*v","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10 = -2*k, 142 = -0*v + 3*v - 2*k. Suppose -v*p = -45*p + 32. What is the highest common divisor of 16 and p?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -85.91446 rounded to one decimal place?\nAnswer: -85.9","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i**3 + i**2 - 5*i - 5. What is n(-3)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -7 + 4. Let g = -2 + 3. Let q = 14 - 13. Which is the nearest to g?  (a) q  (b) 0.1  (c) v\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = b**3 + 11*b**2 + 27*b - 4. Let p be d(-7). Factor r + r**5 + 7*r**p - 11*r**4 + 2*r**4 + 9*r**2 - 19*r + 10*r.\nAnswer: r*(r - 8)*(r - 1)**2*(r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 66 + -69. Let l be 1\/3 + 2 + (-20)\/k. Is l at least as big as 7?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -1879 + 16949\/9. Suppose 0 = 3*o - 0*s + 2*s - 135, 0 = -5*o - 5*s + 225. What is the common denominator of b and o?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -17*y**2 + 2*y. Suppose -6*s = d - 3*s + 3, -5*d + 3*s = 15. Let l(c) = 6*c - 10. Let r(j) = -2*j + 3. Let p(t) = d*l(t) - 10*r(t). What is p(u(m))?\nAnswer: -34*m**2 + 4*m","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(v) = 47791*v**2 - 286727*v - 1. Give x(6).\nAnswer: 113","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-11120)\/(-1668))\/(2\/(-9))?\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 + 102685.\nAnswer: 102686","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 179073083 to the nearest integer?\nAnswer: 564","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -27*c**2*d**2 + 102*c**2*d + d wrt d.\nAnswer: -54*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(j) = 265*j + 2380. Let u be l(-9). Let k = 25.6 + -26. What is the closest to 1\/7 in 1\/5, u, -4, k?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(z) = -16*z. Let w(i) = 1372*i - 1. Give w(f(q)).\nAnswer: -21952*q - 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 3352367 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000010292 rounded to 7 decimal places?\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 634 minutes after 8:07 AM?\nAnswer: 6:41 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 338612 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: ((-16)\/(-70))\/(((-2622)\/133)\/(-23))\nAnswer: 4\/15","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11*w + 55 - 155 + 51 + 49.\nAnswer: 11*w","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in -125, -2\/5, 0, 1, -11?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 5 - 4*i**2 + 15*i**2 + 12 - 9*i**2 + 37*i. Let l be k(-18). What is the closest to -1 in 0.5, -0.4, l?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1314881 is divided by 51?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 146\/964*(-488)\/(-722). Let t = o - 22\/241. Let r = t - 32891\/3610. Calculate the common denominator of 119\/20 and r.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, 2\/39, 0.2, -8, 4, 0.\nAnswer: -10, -8, 0, 2\/39, 0.2, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -215336, -215518, -215700, -215882?\nAnswer: -216064","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 1 (base 2) to base 7\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-8)\/(-12))\/(((-12)\/(-48))\/(3\/20))?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 156167 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (27\/(-18))\/((-3)\/10). Let d(z) = 3*z**2 + 27*z - 13. Let f be d(-10). Solve -4*h - f = -c for h.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(o) = -3*o**3 - 3*o**2 + 14*o + 10. Let m be t(-6). Suppose -4*d + 8*h + m = 9*h, -3*d = h - 350. Calculate the remainder when d is divided by 20.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 4079168 is divided by 348.\nAnswer: 260","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 7208, 7237, 7304, 7427, 7624, 7913?\n\"Answer: 3*y**3 + y**2 + 5*y + 7199","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 444 minutes after 8:30 PM?\nAnswer: 3:54 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-5 - -9)*5\/4. Suppose 4*h - 4 = -2*d, 0 = m*h + 2*d - 7 - 0. Suppose h*f = -2*q + 5 + 78, 4*f - 4 = 0. Is q a multiple of 20?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2796 minus 0.2?\nAnswer: 2795.8","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 8448 or 8440?\nAnswer: 8440","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 9:27 AM and 8:45 PM?\nAnswer: 678","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 8\/5 + -11\/10. Put -7, 0.2, o in increasing order.\nAnswer: -7, 0.2, o","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 34\/5 of a millimeter in micrometers?\nAnswer: 6800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is -5237957.894 rounded to the nearest 1000000?\nAnswer: -5000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) = 29*x**2 - 81*x + 605. What is the thousands digit of t(7)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -31*i**2 + 10 - 6 + 46 - i**3.\nAnswer: -i**3 - 31*i**2 + 50","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2 + 22 = 2*s. Let r = -2 + s. Suppose 4*x - r = -x. Solve u = -5*t - 2, -x*t + 0*u + u = -2 for t.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*g = 1166 - 416. Suppose 0 = 3*a - 2*j + 150, g = 3*a - 8*a - 4*j. Let n be 0 - (-8 + 1)*a. Round n to the nearest one hundred.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 16 = 5*q + 3*s, s + 23 = 782*q - 778*q for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 2100 + 10?\nAnswer: 2110","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (5\/((-15)\/(-4)))\/((-2)\/(-3))?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) be the first derivative of -2*c**3\/9 - 115*c**2\/3 - 452*c\/3 + 1851. Determine f, given that d(f) = 0.\nAnswer: -113, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*w = 5*s - 13, 12 = -8*w + 3*w + 2*s. Let h = -3 - w. List the prime factors of (-3)\/6*h*6.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1881?\nAnswer: 3, 11, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the third derivative of -s**4\/24 - 2*s**2 + 10*s. Let x(b) = -439*b. Calculate h(x(o)).\nAnswer: 439*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 1*(-3 - -74)\/1. Let h = 11 + m. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 50, 3 in descending order.\nAnswer: 50, 3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: 662 * 0.3\nAnswer: 198.6","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.04  (b) 117\/275  (c) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -1.01 - -0.01. Which is bigger: u or -17?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 208 and 22704?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*c + 12 = h, -3*h = 5*c - 3*c - 16 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p be 0\/(-1 - (-2 - 2)). Suppose 2*d = -2*f - 32 - p, -5*d - 80 = -f. Let k be d\/(-24)*(-30)\/(-4). Solve -22 + 7 = -k*o for o.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(l) be the second derivative of -l**7\/7 - 19*l**5\/20 + 34*l**3 - 394*l. What is the second derivative of b(q) wrt q?\nAnswer: -120*q**3 - 114*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 6933322 to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -32055 (base 9) in base 14?\nAnswer: -7a19","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: -56325 * -266\nAnswer: 14982450","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.16857 days to minutes.\nAnswer: 242.7408","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 428412183?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + ((sqrt(8) - sqrt(64)\/sqrt(8))*3)\/(-4*sqrt(196)) + 2)**2.\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 7*m - 9*m = d - 1, -5*m + 40 = -5*d. What is the common denominator of d + (-4 - -5) + 452\/84 and 5\/33?\nAnswer: 231","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*u - 34 - 21 = 0. Let k be 1\/2 - (-284)\/(-24). Let i = k - u. Sort i, -5, -6 in ascending order.\nAnswer: -6, -5, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 60824095 to the power of 1\/10, to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is -12203 (base 4) in base 7?\nAnswer: -1136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: (((-135)\/(-6))\/(24\/8))\/((-168)\/672)\nAnswer: -30","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) = 2*l + 1. Let k be s(2). Suppose -4*p - 38 - 25 = -k*c, 0 = c + 4*p - 3. Solve c = -3*j + 4*v, -5*v = 8 - 3 for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-24)\/(-32) - 35\/(-28). Suppose -c*w + 30*p = 25*p - 589, -p - 1151 = -4*w. What is the units digit of w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -158824565 + 39684348. Let p = r + 119140246.0000022. Let b = p + -29. What is b rounded to 6 decimal places?\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-2 + 0 + 0)*(-130*z**2 + 5313*z**3 + 129*z**2 + 1858*z**3) in the form a*z**2 + g + r*z + f*z**3 and give f.\nAnswer: -14342","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/14161 and 58\/1706545?\nAnswer: 83620705","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 806 to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000011501194 to 6 dps.\nAnswer: -0.000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -1.04 + 0.04. Let b = -22 - -23. What is the nearest to -2 in b, l, -4?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from kkkhkhziihiiiklrzzk. Give prob of sequence irzh.\nAnswer: 5\/10336","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 144 a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 0.7 - 0.5. Let w = 9.5 - 9. Which is the third smallest value?  (a) w  (b) d  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -29312, -10, 4, -0.7 in decreasing order.\nAnswer: 4, -0.7, -10, -29312","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.1617 - -0.0383. Sort -12, 0.4, p.\nAnswer: -12, p, 0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 86026 and 0.03?\nAnswer: 86025.97","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 514580?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**2\/p)\/p)\/(p\/p**0)*(p*p*(p**(-5)\/p)\/p*p)\/p**(-3\/4)*(p**(-2\/5)\/p**4)\/((p**(1\/5)\/p)\/p**(-5)) assuming p is positive.\nAnswer: p**(-257\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = -7 + 8 + 5*w - 1 + 14*w. Let z(n) = -2*n - 4. Determine z(b(p)).\nAnswer: -38*p - 4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -41064*n**2 + 594*n - 7 wrt n?\nAnswer: -82128","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -35.765 less than -1178984?\nAnswer: -1178948.235","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is -596336 at least as big as -596315?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 78418 to the nearest integer?\nAnswer: 280","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 159, 203, 303, 483, 767?\nAnswer: 1179","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (12\/(-15)*(1 + -6))\/2. Suppose 0 = u*b - 4*j - 8, 2*b - 2*j - 10 = -2*b. Factor -1\/4*h**4 + 1\/4*h + 3\/4*h**3 + 0 - 3\/4*h**b.\nAnswer: -h*(h - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 + -9 + (-1 - (3 + -1))\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = -4*v, 4*t + 21*v - 22*v = 32983. List the prime factors of t.\nAnswer: 2, 7, 19, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 123*o + 4934 = -1624 + 1351 - 697 for o.\nAnswer: -48","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is (4\/(-12))\/(5\/5)?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 58426116?\nAnswer: 2, 3, 7, 137, 5077","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = 2*j**2 - 9*j - 58. Let l = 36 - 24. Suppose -3*t + 2*c + 34 = -0*t, t - l = c. What is the remainder when h(-5) is divided by t?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 1\/2*-7*2. Let l = -7 + a. Is 26*-1*l\/4 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -2\/193 or 64.0243?\nAnswer: -2\/193","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p + 2*h = 0, -p - h = -3*p + 5 for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 146 is divided by 59.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1169 - -361. Let d = 37974\/47 + w. What is the second biggest value in 0, -3\/4, d, 1\/2?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -217089108.6 rounded to the nearest one million?\nAnswer: -217000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -11328 divided by -4\nAnswer: 2832","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -19 + 15. Let o be w\/(-8)*(15 - 5). Solve -n - o = -2*n for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1761?\nAnswer: 3, 587","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 12 and 8854.\nAnswer: 53124","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31855*w = -31790*w - 130 for w.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2 + 3. Suppose 0*u = -d*u - 10. Let i(f) = -2*f**3 - 4*f**2 - 3*f - 2. Let t be i(u). What is the greatest common factor of 4 and t?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of 1178654?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2*-1 + (4 - 0). Sort -3, 19, q in descending order.\nAnswer: 19, q, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 1 w, and 1 o when three letters picked without replacement from {l: 2, h: 1, w: 1, s: 1, f: 1, o: 1}?\nAnswer: 1\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: ((-202)\/8585)\/(3\/15)\nAnswer: -2\/17","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 37 and 24124.\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -4*t**4 - 15161*t**3 + 4823272*t?\nAnswer: -48*t**2 - 90966*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -10727, -10725, -10723?\n\"Answer: 2*m - 10729","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 6:02 AM and 2:36 PM?\nAnswer: 514","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*m**4 + 156*m**3 + 4*m**2 - 156*m.\nAnswer: -4*m*(m - 39)*(m - 1)*(m + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -2*((-8)\/16 - (-1 - -3)). Suppose 0 = p*s + z - 6202, 795 = -2*s - 3*z + 3281. What is the thousands digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -3*q**3 + 23*q**2 + 9*q - 134. Is b(-15) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(v) = -v**3 - 16*v**2 + 82*v + 139. What is the thousands digit of n(-27)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*w - 6*j = -3*j - 171, 5*j - 77 = -w. Suppose 4 = -3*p + w. Suppose f - 78 = p. What is the units digit of f?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -49*x - 1 - 69*x - 5*x**2 + 2*x**3 + 119*x + 1 to p*x**2 + a*x**3 + z + b*x and give p.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1512?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*k + 9*d - 5 = 7*d, 0 = -2*k + 4*d + d + 4 for k.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*u - 24 - 1. Let h(m) = 4*m - 3. Let t(a) = 6*a - 2. Let b be t(2). Let v(i) = 5 + 3 + 3*i - b. Determine u*v(q) - 4*h(q).\nAnswer: -q + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cuu when three letters picked without replacement from ururrprc.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 divided by 524.\nAnswer: -1\/262","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 336 and 42270?\nAnswer: 2367120","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*n = 10 - 6 for n.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) be the first derivative of -l**5\/2 + 2*l**4 - 4*l**3\/3 - 8*l - 8. Let h(d) be the first derivative of t(d). Find u, given that h(u) = 0.\nAnswer: 0, 2\/5, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(110) - (sqrt(110) + 5*-1*sqrt(110)))\/sqrt(10).\nAnswer: 3 + 5*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(q) = -2*q**2 + 2*q - 1. Let h(t) = 3*t + 4. Let f be h(-5). Let y be ((-9)\/6)\/(6\/8). Let i(s) = -s**3 + 11*s**2 - 11*s + 6. What is f*d(v) + y*i(v)?\nAnswer: 2*v**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(t) = -t + 30. Let i be g(20). Sort i, 1, -3.\nAnswer: -3, 1, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(i) = -11*i**2 - 81. Let d(c) = 2*c. Calculate z(d(u)).\nAnswer: -44*u**2 - 81","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, 21, -9, 1, 2.\nAnswer: -9, 1, 2, 4, 21","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -350 divided by -8?\nAnswer: 175\/4","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y**2 + 10*y + 13. Let o be k(-3). Let c(l) = l**2 + 10*l + 9. Determine c(o).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (3*2*sqrt(1100) - (sqrt(1100) + sqrt(1100) + (sqrt(1100) - (-1 + sqrt(1100))) + 4 + sqrt(1100))))**2.\nAnswer: -240*sqrt(11) + 9916","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ttt when three letters picked without replacement from {t: 19, r: 1}.\nAnswer: 17\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-3)\/(12\/(-56)))\/(2 + -1). Find the first derivative of -16*u + r*u - 12 - 2*u + 21*u wrt u.\nAnswer: 17","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.31?  (a) 1\/3  (b) -4  (c) -0.1  (d) -0.5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = 22*g + 95. Let k be r(-4). Solve 0 = 7*d + 7 + k for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8\/7*a**5 - 4\/7 + 62\/7*a**3 + 38\/7*a**2 + 38\/7*a**4 + 2\/7*a = 0. What is a?\nAnswer: -2, -1, 1\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -101010001000111001110 - -10011?\nAnswer: -101010001000110111011","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (-56)\/210*(-15)\/24?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c(b) = 4307*b + 51. Suppose 16*z = 18*z - 14. Let i be c(z). Round i to the nearest 1000.\nAnswer: 30000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -11 - 110010101000001111111?\nAnswer: -110010101000010000010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 + 8 - 5) + -1?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be 42\/(-56) + (-399)\/(-4). Let x = 7 + o. List the prime factors of x.\nAnswer: 2, 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 2*z. Let a be d(2). Is (a - 2)*53\/2 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -68 + 87 - 112 + 93 - 2*s**2.\nAnswer: -2*s**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = 239*x**2 + 17*x + 7. Is l(-5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(v) = 21*v - 686. Let j be m(38). Calculate the greatest common factor of j and 154.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 8601956737 to the nearest integer?\nAnswer: 92747","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 26.3997 rounded to 1 dp?\nAnswer: 26.4","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -2*b**3 + 492*b**2 + 63*b - 15549. Give x(246).\nAnswer: -51","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -414 + 392.1. Let f = 24.9 + p. Put f, 2\/11, 0 in descending order.\nAnswer: f, 2\/11, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -101, -0.1, 0.2, -5 in increasing order.\nAnswer: -101, -5, -0.1, 0.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*u**4\/3 + 820*u**3\/3 + 14200*u**2\/3 + 3920*u - 8928 = 0. What is u?\nAnswer: -186, -18, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 930?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 395181899.\nAnswer: 7, 56454557","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (9 + 2 - (4 - -1)) + -3. Let z(s) be the first derivative of 0*s**2 + 8\/7*s - 50\/21*s**j + 3. Factor z(i).\nAnswer: -2*(5*i - 2)*(5*i + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:32 PM and 1:39 AM?\nAnswer: 667","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f(x) be the first derivative of -x**3\/6 - x**2\/2 + x - 5. Let z(t) be the first derivative of f(t). Differentiate z(w) with respect to w.\nAnswer: -1","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 30278*n - 3471*n - 511 + 252 + 259 in the form i*n + s and give i.\nAnswer: 26807","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1000)\/30)\/((116\/203)\/(6\/(-14)))?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d be ((-10)\/(-15))\/((-56)\/(-30)). Let u = d - -97\/42. Is 4 less than or equal to u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 888.2 to the nearest one hundred.\nAnswer: 900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 5077 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) = 5*h**3 - 2*h**2 - h + 1. Let p be g(-2). Let t = 48 + p. Suppose 8*y - t*y = 75. Does 15 divide y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1151410.\nAnswer: 2, 5, 13, 17, 521","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*j = 7*j + 287. Let f = j - -47. Suppose -m + 3*x + 9 = 0, 4*m + 4*x + 12 = m. Solve f*s - s - 25 = m for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -0.5 and 29.1?\nAnswer: -14.55","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 16983 or 18050?\nAnswer: 16983","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 2*h + 7. What is v(-6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l\/l**(-2\/13)*l**(-1\/5)*(l**(-1\/2)\/l)**(-28) assuming l is positive.\nAnswer: l**(2792\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is q in -4*q**2\/5 + 12572*q\/5 = 0?\nAnswer: 0, 3143","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Is 109234 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -130*d - 4*d**2 + 45*d + 42*d + 43*d.\nAnswer: -4*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Express 346 + 18*h - 180 + 10*h - 7*h**4 - 167 - 2*h**3 in the form c + j*h**3 + n*h**2 + k*h + w*h**4 and give j.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1 - (-5)\/(-4))\/((-20)\/480). Is y >= 39\/5?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in 3\/97217, 2, -5?\nAnswer: 3\/97217","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = -11 + a + 2 + 6 - a**2. Let r(x) = -x + 4. Let y(c) = -3*r(c) - 4*u(c). Find the second derivative of y(z) wrt z.\nAnswer: 8","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(c) = -c**2 + 5*c. Let h be s(5). Is -3 at most as big as h?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 2, -2, -24, 5?\nAnswer: -24","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 62 is divided by 4 - 7 - 1*(5 - 36).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -1 + (-1)\/(-3) + (-2)\/6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 36020, 34658, 33296, 31934?\n\"Answer: -1362*u + 37382","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*p - 3*i + 8, -2*p - 5 = -2*i + 5. Let u = p - -2. What is the third derivative of u - 1 - 2*x**2 - 2*x**3 wrt x?\nAnswer: -12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be ((-2)\/(-5))\/(2\/(-30) - 0). Let a(h) be the third derivative of -h**4\/8 - 5*h**3\/6 - h**2. Calculate the remainder when 49 is divided by a(c).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + 6 - 1)*(u**4 + 0*u**4 + 0*u**4) + 2*u**2 - 2*u**2 - u**4.\nAnswer: 2*u**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 34*i = 37*i - 9. Suppose 0*k - 25 = -3*k + 5*n, 0 = -k + 2*n + 9. Suppose 0 = -6*a + 5*a - 4*j + i, -k*j = -5*a + 40. Do 7 and a have the same value?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 9775 a multiple of 25?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -25 + 62 - 2*g**2 - 18 - 18 - 2*g. Let t(k) = -k - 4. Let a(u) = -3*u - 12. Let c(y) = -3*a(y) + 8*t(y). Let h be c(-6). Determine r(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 57861 + -82463. Let f(a) = 74*a**3 - 8*a**2 - 8. Let b be f(-9). Let y = b - h. Round y to the nearest one hundred thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -a + 7. Let s be m(-6). Suppose 0*u = 5*u. Let f = s + u. What is the remainder when 38 is divided by f?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 945 by 3190.\nAnswer: 189\/638","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(b) = b + b + 7*b**2 + 0*b + 2. What are the prime factors of n(-2)?\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 2170, 4334, 6482, 8608, 10706?\nAnswer: 12770","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -41 + 44. Suppose 0 = -7*x + h*x. Suppose x = 3*u - 4*s - 1543, -u + 6*u = -2*s + 2615. Is u composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) be the third derivative of -r**7\/3780 + r**6\/540 + r**4\/6 + r**3\/2 + 120*r**2. Let y(l) be the second derivative of w(l). Factor y(c).\nAnswer: -2*c*(c - 2)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -3 * -131607.1\nAnswer: 394821.3","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25 = -5*b - 2*f, 3*b - 11*f - 29 = -15*f. What is the remainder when 21 is divided by b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) be the second derivative of -21*f**6\/10 - 91*f**4\/12 - 6*f + 3. What is the third derivative of t(b) wrt b?\nAnswer: -1512*b","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 62\/341 + 1681\/(-594) and -83\/36.\nAnswer: 108","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 219565 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2*-3*((-1*sqrt(153) - sqrt(153))**2 + sqrt(153)).\nAnswer: 18*sqrt(17) + 3672","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 - 0 - (14 + -15)?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {j: 1, s: 5, d: 1, l: 1, f: 1, t: 3}. Give prob of sequence lj.\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the smallest value?  (a) -3  (b) 438  (c) -1  (d) -0.5  (e) 0  (f) 4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of m**3*p**3 + 2*m**3*p**2 + 33*m**3*p - 7*m*p**4 - p**4 wrt p?\nAnswer: 6*m**3 - 168*m*p - 24*p","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 7951511 is divided by 20130.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -39422912*q**3 - 19387783*q**2 wrt q.\nAnswer: -236537472","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -179 - -1249\/7. What is the third biggest value in u, 1\/10, 0.5?\nAnswer: u","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = m - 1 + 2 + 0 - 5. What is the remainder when 13 is divided by h(8)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(x) = x. Let z(o) be the first derivative of 0*o**3 + 2*o - 1 + 0*o**2 - 1\/4*o**4. Let v(t) be the first derivative of z(t). Determine v(l(y)).\nAnswer: -3*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is (-8)\/24*6*2\/4?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -a**2 + 18*a + 9. Let l be i(9). Suppose 4 = -v, x + 2*v + l = -v. Let d = x - -156. What is the tens digit of d?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:20 AM and 8:57 AM?\nAnswer: 277","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -36 + 38. Suppose 21 = -j + 5*j - 5*n, h*j = 3*n + 13. Is 2\/11 at most as big as j?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from ppppppippppppppppp. What is prob of picking 1 i and 3 p?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Sort -1959, -0.1, 1\/132, -2 in descending order.\nAnswer: 1\/132, -0.1, -2, -1959","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -18234371 + 39234371. What is o rounded to the nearest one million?\nAnswer: 21000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7 by -166188.\nAnswer: -7\/166188","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*l**4\/5 + 14*l**3 + 7228*l**2\/5 - 292992*l\/5 + 285696\/5 = 0. What is l?\nAnswer: -62, 1, 48","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 648.6 rounded to the nearest 10?\nAnswer: 650","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (15\/(20 - -25))\/(7*2\/(-18)).\nAnswer: -3\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-6)\/(-63) + (-832)\/(-5376). Which is smaller: d or -57?\nAnswer: -57","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -7.07 - -6.57. Put r, -9, -0.2 in increasing order.\nAnswer: -9, r, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2 - -1. Let y(z) = -z**3 + z**2 - z + 1. Let v(n) = 2586 - 2592 + 5*n + 0*n + 8*n**3 + 5*n - 8*n**2 - 4*n + n. Give u*v(p) - 6*y(p).\nAnswer: -2*p**3 + 2*p**2 - p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4266808?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve m - 1 = 5*b, 4*b - 15*m + 11*m + 4 = 0 for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 3195961354 to the power of 1\/9, to the nearest integer?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -219 + 405. Calculate the highest common divisor of g and 6.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 8 - ((-13)\/(-104))\/(11\/803)\nAnswer: -9\/8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is d in -2*d**4 + 35092*d**3 - 154106418*d**2 + 1538433280*d - 3843891200 = 0?\nAnswer: 5, 8768","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*j**3\/5 + 126588*j**2\/5 - 11575170*j + 1309041000 = 0. What is j?\nAnswer: -21548, 225","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 17?  (a) 2\/9  (b) 3  (c) -2\/5  (d) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 58389001 < 58389000?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -34929555*m**2 + 34929555*m**2 + 241*m**3.\nAnswer: 241*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 11\/2 of a week?\nAnswer: 55440","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence bbtw when four letters picked without replacement from {x: 2, j: 2, t: 1, w: 2, b: 3, v: 2}.\nAnswer: 1\/990","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jxvj when four letters picked without replacement from {x: 1, v: 7, j: 2, p: 9}?\nAnswer: 7\/46512","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -28 + 39. Let m(t) = 1 + 3*t - 5*t + v*t**2 - 12*t**2 + 6*t. Give m(3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + (sqrt(85) - (2*5*sqrt(85) - sqrt(85)))\/(sqrt(5) - (sqrt(20) - sqrt(320))) + 5.\nAnswer: -8*sqrt(17)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -n - 4*f, 0 = -n - 0*f - 5*f. Let l(k) = -k**3 - 9*k**2 - 6*k - 47. Let z be l(-11). Suppose -3*s - 3 = 0, -4*t + n*t + z = 3*s. Does 22 divide t?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -x = -12 - 24. Let n = 100 - x. What is the highest common divisor of n and 16?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -172, -345, -522, -703, -888, -1077?\n\"Answer: -2*n**2 - 167*n - 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 204 + 1484*m**2 - 204.\nAnswer: 1484*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a decade in months?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 18*u = -0*u + 7776. Is 22 a factor of u?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -44672?  (a) -9  (b) -0.5  (c) -33\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (10\/15)\/(1*(-4)\/84). Let v(x) = 2*x**2 - 20*x - 18. What is the units digit of v(m)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 52952290?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -54d9 - -4?\nAnswer: -54d5","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let v(k) = -k + 66. Let h(o) = 3*o - 199. Calculate 3*h(c) + 8*v(c).\nAnswer: c - 69","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(r) = -r**3 - 6*r**2 - 4*r - 3. Let s be (18\/4 - 9) + 2\/(-4). What is x(s)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h - 16 = 4*k, 5 + 11 = -4*k - 4*h. Let i be -2 - (-9 + -1)\/(-2). Let b = k - i. What is the remainder when 11 is divided by b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 1\/((-5577)\/1395 - -4). Suppose 4*s + t + 555 = 5*q, 4*q - 3*s = 817. Round q to the nearest one hundred.\nAnswer: 200","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(s) = s + 7. Let v = 14 - 5. Calculate the lowest common multiple of 16 and i(v).\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -8.91 - -8.9. Which is the third biggest value?  (a) -1  (b) -5  (c) g  (d) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth smallest value?  (a) -2\/3  (b) -4  (c) -5  (d) -2\/9  (e) -17\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let t be ((-8)\/(-5))\/((-9)\/45). Let q be 4\/(-32)*-4*t. Sort 1, 5, q in increasing order.\nAnswer: q, 1, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 551025 (base 12) in base 10?\nAnswer: 1349597","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = -j**2 - j + 27. Let a be 24\/(-60) + (-34)\/(-10). Suppose 12 = 4*y + 3*t, 0 = -0*y + 3*y + a*t - 12. What is m(y)?\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*k**3\/8 - 12*k**2 - 201*k\/8 - 51\/4.\nAnswer: 3*(k - 34)*(k + 1)**2\/8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -109*c**6*w - 7*c**2*w - 12*w wrt c.\nAnswer: -13080*c**3*w","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -86 + 119?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: -434550298 times -4\nAnswer: 1738201192","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**3 + 5. Let k be r(0). Find the second derivative of -27*q + 36*q + q**k + 9*q**5 wrt q.\nAnswer: 200*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 87397473 to the nearest one million.\nAnswer: 87000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -101101010 (base 2) to base 6.\nAnswer: -1402","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 203 = 148. Let i be -2 - 0 - (2 - 4). Suppose d = -i + 8. What is the lowest common multiple of d and s?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) be the second derivative of -3*k**8\/8 + k**4\/3 - 25*k. Find the third derivative of p(x) wrt x.\nAnswer: -2520*x**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27 a factor of 1215?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in 31\/5 of a microgram?\nAnswer: 6200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 17424219 to the nearest integer?\nAnswer: 4174","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -3*i - 10 for i.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 10210 - 21?\nAnswer: 10178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 21 a factor of 575?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 366*g + 7 - 2*g**2 - 3*g**2 - 366*g - 7.\nAnswer: -5*g**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 564927 and 1433968.\nAnswer: 1007","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: (98\/(-14))\/(-14*(-19)\/(-684))\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 2 - (-1435)\/10*2 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*d + 2*d. Suppose 2*y - y = 5*c + 630, d = c - 2*y + 126. What is the remainder when 59 is divided by (c\/(-49))\/((-6)\/(-28))?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 1523.7ml?\nAnswer: 1.5237","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (3 + -1 + 2)\/((-1)\/((-21)\/28))?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (10\/6)\/(-5)*-9 - 4.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -281  (b) -0.1361  (c) -0.18\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -1.89 + 1.8900001926. What is x rounded to seven dps?\nAnswer: 0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 24534 and 768732.\nAnswer: 2306196","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is bb + -601a9?\nAnswer: -600aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 21*q - 80*q = 0. Solve 30*c - 28*c = 3*v + 7, q = -5*c - 20 for v.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -85*c**3 + 8*c**4 + 0*c - 6*c**2 - 1 + 42*c**3 + 45*c**3 - c + 3*c to the form l*c**2 + u*c**4 + j*c**3 + w*c + y and give u.\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -126 + 104 - (-2 + -10)\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n(x) = -7*x**2 - 394*x - 1587. Give n(-52).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = z + 9. Determine d(-28).\nAnswer: -19","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2\/7 in 4, 2\/7, 198?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 47 - 3 - (-126 - -135).\nAnswer: 35","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.4, 7, -2\/119, 3, 53, 4, 0.2 in decreasing order.\nAnswer: 53, 7, 4, 3, 0.4, 0.2, -2\/119","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.3?  (a) 0.33  (b) 1  (c) -7  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/1771 less than or equal to 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -128*k + 389 - 5161 + 676 = 0 for k.\nAnswer: -32","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 4\/65 - -232\/455. Is 2 at most as big as f?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be ((-32)\/(-12))\/(5\/1275*10). Suppose -119 = -3*f - 2*h, 2*f - 2*h = 6*f - 156. Let u = l - f. List the prime factors of u.\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 5*(3*(((sqrt(448) - (1 + (sqrt(448) - (-1 + sqrt(448) + sqrt(448) + sqrt(448))))) + 3 + sqrt(448) + 0)*-2)**2 + 1).\nAnswer: 3840*sqrt(7) + 430145","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 33823595 at most 33823610?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.00671 - -28.00671. What is the nearest to 2 in d, -1\/9, 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 190, 655, 1370, 2335, 3550, 5015, 6730?\nAnswer: 8695","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 2 + -2. Suppose l = -8*y + 126 - 78. Solve m = -2, 0*z + y = -3*z - 3*m for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 3, -28, 5, -6, -68, 0.4 in ascending order.\nAnswer: -68, -28, -6, 0.4, 3, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 83826 (base 16) to base 2.\nAnswer: 10000011100000100110","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -2072 - -2074. Put 69, b, -3, -5 in descending order.\nAnswer: 69, b, -3, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 212080 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x(b) = -22*b**2 + 10547*b - 103236. Determine x(10).\nAnswer: 34","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = 25*r**2 - 3*r - 7. Let q(l) = -12*l**2 + l + 3. Suppose 6 = 2*p - 4*k, -k - 1 = 3*p + 25. Give p*q(o) - 3*d(o).\nAnswer: 9*o**2 + 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 34665438?\nAnswer: 2, 3, 5777573","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 0 - (-50)\/168 - 25\/75. Which is the biggest value?  (a) 1\/7  (b) 1  (c) 4  (d) f\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*m - 4 - 6. Suppose -g - x = -6*x + 13, -4*x + m = g. Let v be (0 - -60)*g\/(-6). What is the highest common factor of v and 75?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 513404 + 115014 = 54*y - 34108. Is y a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -k - 9689*m + 4849*m + 4843*m = 13, 11*k = -2*m - 50 + 12 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 23 + -20. Suppose -4*h + 5*q = -6*h - 26, 4*h + 24 = -b*q. Let p(a) = -197*a**3 - 2*a**2 - 1. Let f be p(h). Round f to the nearest one thousand.\nAnswer: 5000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(a) = -45*a - 403. Let m be y(-9). Let l = 27 - 16. Solve 3*p = q + 10, m*p + 3 = q + l for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rpppprrppp. What is prob of picking 1 p and 2 r?\nAnswer: 7\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 16716543 and 3156.\nAnswer: 789","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 4615 in -4, -2\/27, -2, 1\/4, 0.5?\nAnswer: 0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 1 s when two letters picked without replacement from tsotptssptpttoopp?\nAnswer: 15\/136","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 9, f: 1, q: 1}. Give prob of sequence lq.\nAnswer: 9\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1416\/4907 + -2\/701. Which is the smallest value?  (a) -4  (b) -5  (c) 0.5  (d) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let 5*g**4 + 848*g - 464*g + 184*g**2 - 512 - 14*g**3 - 46*g**3 - g**4 = 0. What is g?\nAnswer: -2, 1, 8","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000003138170781 to seven dps.\nAnswer: 0.0000031","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 422829109 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence cc when two letters picked without replacement from {c: 3, m: 11, p: 2, i: 3}.\nAnswer: 1\/57","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 0 - 12213301200?\nAnswer: -12213301200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -o**6*u**2 + 14*o**3 + 13*o**2*u**2 + 2*o**2*u + 3*o**2 wrt o.\nAnswer: -120*o**3*u**2 + 84","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 43151106607 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -1 + 60038?\nAnswer: 60037","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -17, -28, -37, -44?\n\"Answer: z**2 - 14*z - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3802610?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 2*q - 2, -y + 5*y = 5*q + 167. Let j = y + 1. Let n = j - -41. Is n a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify z**(-2\/23)\/z*z**(-48)\/z*z*((z**(6\/31)*z)\/z*z*z*z*z)\/(((z**(-16)*z)\/z)\/z) assuming z is positive.\nAnswer: z**(-19888\/713)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put 12, -1, 36, -7, 2 in ascending order.\nAnswer: -7, -1, 2, 12, 36","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 6*i - 3*i + i - 6*i + 85 to the form b*i + z and give z.\nAnswer: 85","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) be the second derivative of -r**3\/6 - r**2 + 4*r - 4. Suppose 4*n + 10 = -6. Determine g(n).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -56616, -56559, -56492, -56409, -56304, -56171?\n\"Answer: p**3 - p**2 + 53*p - 56669","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(a) = -6*a + 217. Let x be k(34). Suppose -o - x = -2*i, -i + o - 4 = -10. Calculate the smallest common multiple of 23 and i.\nAnswer: 161","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) -0.03  (b) 0.5  (c) 4\/9  (d) 0\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6979\/2886 + 3\/1924. Let f = 7\/4 + m. Put f, 0.1, -1 in descending order.\nAnswer: 0.1, f, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(-10)\/175*-7.\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -12791421 divided by 2721?\nAnswer: -4701","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: -3*1\/(-5)*(-215)\/(-258)*(-18)\/3\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*b = 4*o + 37, 3 - 1 = 2*b. Suppose -386*c = -383*c - 36. Let f = o + c. Put f, 3, -5 in decreasing order.\nAnswer: 3, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -x + 8 - 2. Let y(j) = -3*j**2 - j**3 - 2*j**2 - 4*j**3 - 2*j. Let r(d) = -4*d**3 - 4*d**2 - 2*d. Determine x*r(o) - 5*y(o).\nAnswer: o**3 + o**2 - 2*o","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -6949919*n**2*s**3 + 2*n**2*s**2 + 10*n*s**2 + 2*n + 4346*s**3 - 6*s**2 + 2*s wrt n.\nAnswer: -13899838*s**3 + 4*s**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 44 + -89. Let q = n - -44.906. Round q to 2 decimal places.\nAnswer: -0.09","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*n - 5*j = 65, 5*n - 3*j + 34 - 73 = 0 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Sort -22, -54, -8, 0 in decreasing order.\nAnswer: 0, -8, -22, -54","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c and 1 e when two letters picked without replacement from nnecceneeneeeoek?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((-5 + -6*(2*sqrt(1088) + 5)*4 + -2)*-4)**2.\nAnswer: 1560576*sqrt(17) + 40366096","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s - 10 = -7*s. Suppose 2*b - 5*b = 2*a - 6, 0 = -5*a - 5*b + 20. Suppose -3*l = -a*l + 15. Solve -l + s = q for q.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of -75398*a**3 - 16*a - 21668?\nAnswer: -226194*a**2 - 16","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Do -1369 and 130 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -20451\/5 - -39449981\/9645. Let g = o + -23367\/22505. Find the common denominator of g and -17\/70.\nAnswer: 210","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 92887934 to the power of 1\/2, to the nearest integer?\nAnswer: 9638","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 14*(3 - (-38)\/(-14)). Calculate the greatest common factor of q and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(l) = -l + 2. Give a(8).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j and 2 g when three letters picked without replacement from {j: 4, g: 3, l: 5}.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2282*f = -35570 + 8186 for f.\nAnswer: 12","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -61\/3820140 and 73\/836.\nAnswer: 42021540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (45 - (2 - -4))\/((-297)\/(-792)).\nAnswer: 104","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 3 + -1a?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xjfcvac. Give prob of sequence cacv.\nAnswer: 1\/420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1 in -8, -462, 3791?\nAnswer: -8","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y + 27. Let l be d(-8). Calculate the greatest common factor of 76 and l.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(v) = 2*v. Let w(k) = 725*k. Let n(j) = 34 - 73 - 25*j + 39. Let b(u) = -175*n(u) - 6*w(u). Calculate b(d(x)).\nAnswer: 50*x","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -82\/3265 or -13?\nAnswer: -13","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -19*k + 3*d - 26 = -14*k, k + 10 = -d. Is (10708\/(-5) - k)*-5 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = l + 8. Let j(k) = 4*k + k - 8*k - 33. Let r(s) = -18*c(s) - 4*j(s). What is the derivative of r(f) wrt f?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add -226 and -234134.391.\nAnswer: -234360.391","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11090 is divided by 2.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let t(k) be the first derivative of k**3\/18 - 31*k**2\/6 + 7. Factor t(s).\nAnswer: s*(s - 62)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1*(3 + -2)*-15.\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0, 19, 44659 in increasing order.\nAnswer: 0, 19, 44659","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = 5*q + 4*u - 44, 5*q = 3*u + 10. Put 35, 4, q, 2 in decreasing order.\nAnswer: 35, q, 4, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 235 is divided by 32.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 310340118?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 112 and 98.\nAnswer: 784","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -17 or -327\/20?\nAnswer: -327\/20","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -18 - -17.9. Let h = -2 + 2.5. Let i = -0.09 + -0.01. What is the nearest to i in h, -0.4, m?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 2, c: 2, i: 8}. What is prob of picking 1 o and 1 i?\nAnswer: 8\/33","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000011769 rounded to seven dps?\nAnswer: -0.0000012","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 1075158 - -13?\nAnswer: 1075171","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1038*w - 522 = 1299*w for w.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u(i) = 56*i + 71. Let k(m) = 130*m + 141. Give -3*k(o) + 7*u(o).\nAnswer: 2*o + 74","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 3, j: 5, e: 1, x: 1, u: 10}. What is prob of picking 2 u and 2 v?\nAnswer: 9\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the second derivative of -n**7\/7 + 56*n**6\/5 - 3772*n**5\/15 + 6859*n**4\/9 - 903*n**3 + 486*n**2 - 6*n - 14. Solve o(d) = 0.\nAnswer: 1\/3, 2\/3, 1, 27","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth biggest value in -16\/13, -2, -5, 2, 1\/13, 21, -2\/5?\nAnswer: -16\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 100 - -1000100?\nAnswer: 1000200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 175 and 1135?\nAnswer: 39725","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-6 + 6)*(2 + -1). Suppose -d = -4*u + 51, 0 = -q*u - u + 5*d + 8. Let z = u - 4. Solve 5*w + z = -6 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3 (base 9) in base 8?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 707 minutes after 12:04 PM?\nAnswer: 11:51 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 18072 and 1757.\nAnswer: 251","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 60669 and 20223?\nAnswer: 60669","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 23290618027 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Convert -fa (base 16) to base 2.\nAnswer: -11111010","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 70720.\nAnswer: 2, 5, 13, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 66 - -730?\nAnswer: 796","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put -460, 3, 0.5, 2 in increasing order.\nAnswer: -460, 0.5, 2, 3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 32085597913 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*g = -51*g - 2*r - 403, -3*g = 3*r - 1191. What is the greatest common factor of g and 285?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -a - 2*t = -80, -8*a + 3*t = -3*a - 452. Does 11 divide a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = 195*t**2 + 3482*t - 595. What is h(-18)?\nAnswer: -91","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is 4206100 + -14?\nAnswer: 4206086","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.08 in -0.1, 115, 4?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-261)\/87*22\/6.\nAnswer: -11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 27371 and 404?\nAnswer: 101","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1*(sqrt(22)\/sqrt(11)*-6 + sqrt(22)\/(sqrt(99)\/sqrt(9) + sqrt(11))).\nAnswer: 11*sqrt(2)\/2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -4*f - 121*f**2 - 12*f**6 + 3*f**6 + 4*f - 6*f**6 wrt f.\nAnswer: -1800*f**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 644*-75\nAnswer: -48300","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {v: 3, x: 3, k: 1, t: 6}. Give prob of picking 2 x, 1 v, and 1 t.\nAnswer: 54\/715","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -8 - -7. Let p(v) = 3*v**3 + v**2 + 7*v + 1. Let m(y) = y**2 + 1. Let d(i) = k*m(i) + p(i). What is the second derivative of d(f) wrt f?\nAnswer: 18*f","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -2473221*d**5 - d**4 + d**3 + 18*d**2 + 183503*d - 2?\nAnswer: -148393260*d**2 - 24*d + 6","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-69)\/(-13)*4080\/46920.\nAnswer: 6\/13","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = 9*b**4 + 859*b**3 + 862*b**2 - 4. Let z(v) = -12*v**4 - 860*v**3 - 863*v**2 + 5. Let j(x) = 5*h(x) + 4*z(x). Let j(g) = 0. What is g?\nAnswer: -1, 0, 286","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 132 + 30104?\nAnswer: 30241","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 4, n: 3, k: 4, d: 5, v: 3}. What is prob of picking 1 d and 1 n?\nAnswer: 5\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) be the second derivative of -1\/3*k**3 - 37*k - 7\/2*k**2 - 1\/6*k**4 + 1\/5*k**5 + 0. Let q(a) = 9*a**3 - 4*a**2 - 5*a - 15. Calculate -2*q(t) + 5*x(t).\nAnswer: 2*t**3 - 2*t**2 - 5","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (2\/6)\/(2\/6). Let g be -5*(1 - 8\/5). Let u be (-2 + g)*(-4)\/(-8). Which is bigger: p or u?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in fifty-seven fifths of a micrometer?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1316197.\nAnswer: 61, 21577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 2231 + 11. Suppose 3*b - f = -4*l, -2*l = -b + 477 + 277. What is the units digit of b?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -422*g - 16 = -430*g. Solve 48 = g*r + 54 for r.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 2163 and 168.\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 366 - 344. Calculate the remainder when 83 is divided by h.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8426, -67434, -227600, -539504, -1053726, -1820846, -2891444, -4316100?\nAnswer: -6145394","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) = -41761*t - 41901. What is s(-1)?\nAnswer: -140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*y - 3 + 3)*(-2 + 3 - 3)*(8 - 9*y + 12 + 11*y).\nAnswer: 8*y**2 + 80*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 47\/1725868 and 73\/23359988?\nAnswer: 1658559148","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) be the second derivative of q - 7\/6*q**3 + 1\/12*q**4 + 0 + 1\/2*q**2. What is p(6)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(o) = -1206005*o + 8442026. Give j(7).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 98 is divided by 86?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence xjcx when four letters picked without replacement from {x: 9, c: 4, j: 4}.\nAnswer: 12\/595","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 516771 - 772?\nAnswer: 515777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 65 + -62. What is the third derivative of -29*d**2 + 77*d**j - 9*d**3 + 16*d**2 wrt d?\nAnswer: 408","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -23*t. Let s(l) = 471*l. Give o(s(k)).\nAnswer: -10833*k","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (5*sqrt(175)*-1 + sqrt(175))**2 + 2 - (-1 + sqrt(7) + 3 + sqrt(14)\/(sqrt(12)\/sqrt(6))).\nAnswer: -2*sqrt(7) + 2800","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1664562127001 + -0.2.\nAnswer: -1664562127001.2","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -3*w + 2*w - 4*w**3 - 12 - 2 + 17 + w**2 to b + t*w**2 + l*w + o*w**3 and give l.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = -w**2 + 23*w - 106. Let t be o(13). Solve -2*p = -5*i + 13, -4*i - 120*p = -125*p - t for i.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -14286.907 times -2?\nAnswer: 28573.814","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*a**2\/7 + 640196*a\/7 - 182912.\nAnswer: -2*(a - 320096)*(a - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1?  (a) 2\/5  (b) 1\/32  (c) -0.1  (d) 0.5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let d(t) = 5*t - 14 + 4*t**2 + 16 + t**3 + 1. Let n be d(-3). Let q(g) = -g**3 + 3*g**2 + g - 1. Let x be q(3). Sort 1, -2, x, n in decreasing order.\nAnswer: x, 1, -2, n","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 46366 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 28048\/8673 - 164\/49. Is -1 smaller than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*b = 7*g - 9*g + 1008, 0 = -4*g + b + 1972. Is g a multiple of 78?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = -59*c - 176. Give d(-3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 19353 - 19353.0023081. What is y rounded to four decimal places?\nAnswer: -0.0023","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-7)\/(-2) + 2\/4. Let m = 37 - 23. Let v = m + -13.5. Put -0.2, w, v in decreasing order.\nAnswer: w, v, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*f**2 - 1620058*f - 3240124.\nAnswer: 2*(f - 810031)*(f + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: -4.1085413 - -0.2\nAnswer: -3.9085413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -3*2\/9*252\/42?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*q - 16 = -88. Suppose -4*f = -3*s + 5*s - q, 0 = -5*s - 4*f + 33. Let o = 5.09 - 1.09. What is the third biggest value in s, -1\/2, o?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q = 4*q - 42. Suppose -9*j = -11*j + q. Solve -2*n + 0*n = -f + 5, 3*f + j*n = 15 for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 174, 175, 176?\n\"Answer: s + 173","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 876 and 24?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 2*(sqrt(192) + sqrt(192) + 3 + 1 - (-2 + 1 + sqrt(192))**2).\nAnswer: -378 + 64*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22 = -3*z + t, 2*z + 0 = 4*t + 18 for z.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: ((-506)\/42 - (-1330)\/570) + (-2)\/7\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 10 - (-4 + 12) - 4?\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from pwwwp. Give prob of picking 2 w.\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = -13*t + 109. Let y be x(8). Let d(r) be the third derivative of -1\/30*r**y + 1\/6*r**4 + 0 + 0*r**3 - 6*r**2 + 0*r. Find b, given that d(b) = 0.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -189*n - a - 1516, -4*a - 40 = -1272*n + 1275*n for n.\nAnswer: -8","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is (-4)\/(-14) - (-3887)\/91 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1179426 less than 312216794?\nAnswer: 311037368","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -57, -46, -27, 0, 35, 78?\n\"Answer: 4*f**2 - f - 60","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.000000880971 to 7 dps.\nAnswer: 0.0000009","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i = r - 210, 6*r + 4 = 4*r. Let s = 42 + i. Let j(m) = -148*m + 3. Is j(s) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(k) = 10*k + 110. Does 12 divide d(13)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of (-9 - -1)\/((-7 - -2)\/240).\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -30414542, -30414547, -30414552, -30414557, -30414562?\n\"Answer: -5*j - 30414537","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 192 divided by 2.\nAnswer: 96","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -254 divided by -16.\nAnswer: 127\/8","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b, 1 e, and 1 k when three letters picked without replacement from {k: 2, r: 1, e: 1, b: 3}.\nAnswer: 6\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -0.34 - 15.66. Let t = a + 18. Let h = -1.5 + t. What is the second biggest value in 6\/7, h, 0.2?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(684)*2)*-1.\nAnswer: -12*sqrt(19) + 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 1829.3 - 1829. Suppose 24*h - 32 = 8*h. What is the third biggest value in b, -0.2, -2\/119, h?\nAnswer: -2\/119","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 53*b - 195 + 725 = 0 for b.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -44393 = -90*g + 360067. Does 14 divide g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = z**2 + 80*z + 823. Give c(-66).\nAnswer: -101","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(r) = -2*r**3 - 16*r**2 - r - 3. Let k be t(-8). Which is the second smallest value?  (a) -1\/2  (b) 1\/3  (c) k  (d) -1.1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j - 158*a + 161*a = 2, j - 3*a = -4. Calculate the highest common factor of 330 and j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*p - 5*g + g - 52574 = 0, 4*p - 2*g = 105142. Suppose 22*r = p + 7661. Is r composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1229 divided by 77368?\nAnswer: -1229\/77368","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -10792 + 15835. Calculate the highest common factor of s and 123.\nAnswer: 123","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -9*p**2 + 394*p + 88. Let v be l(44). Which is the nearest to 0.1?  (a) -222  (b) v  (c) -4\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = a**3 + 4*a**2 - 6*a + 5. Suppose j - 2*j + 5 = 2*c, -j + 20 = 5*c. Give i(j).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = 3*w**2 - 85*w - 53. Calculate t(29).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 268.\nAnswer: 2, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) be the third derivative of t**9\/252 - 3*t**8\/112 - 4*t**7\/35 - 1001*t**5\/20 - 5*t**2 + 59*t - 2. Find the third derivative of o(n) wrt n.\nAnswer: 240*n**3 - 540*n**2 - 576*n","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 117 divided by -15?\nAnswer: -39\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 282 is divided by 22?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Is 3667825 a multiple of 5?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the ninth root of 238431219 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 0.08575 + -0.085770365. What is b rounded to six dps?\nAnswer: -0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 276.23 rounded to 0 dps?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -23.48, -3, -0.01?\nAnswer: -0.01","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-6)\/(-4))\/((-3)\/(-72)). Let h = -21 + o. List the prime factors of h.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 45416 and 112?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -544 - -729. What is the remainder when r is divided by 36?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*a - 63 = -12*a. Solve -a - 6 = 3*o for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 175030 to the nearest integer?\nAnswer: 418","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 29 + -16?\nAnswer: 13","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = 29*j**2 + 158*j + 3. Calculate the remainder when n(-6) is divided by ((-30)\/(-4))\/((-3)\/(-4)).\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - 775 = -3*v, -v + x - 35 = -292. List the prime factors of v.\nAnswer: 2, 3, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + ((sqrt(480)*-1 - sqrt(480))*1)\/(sqrt(72)\/sqrt(108) + (sqrt(66) - (sqrt(66)*1 - sqrt(66)))\/sqrt(11)) + 4.\nAnswer: -6*sqrt(5) - 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:31 AM and 6:32 PM?\nAnswer: 421","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 18716231 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let 6*b**4\/11 + 4*b**3 + 38*b**2\/11 - 64*b\/11 - 24\/11 = 0. What is b?\nAnswer: -6, -2, -1\/3, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -33*x - 2*u + 226 = -3*x + 14*x, 0*x - 7 = x - 4*u for x.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 7192933 and 22?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6916 is divided by 2298?\nAnswer: 22","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) be the first derivative of 5*k**6 - 23*k**3\/3 + 3. Find the third derivative of c(i) wrt i.\nAnswer: 1800*i**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(26)*-5)\/(-1*sqrt(8)) + ((sqrt(130) + sqrt(130) + (sqrt(130) + sqrt(130)*3 + sqrt(130))*4)\/(sqrt(30)\/(sqrt(3)*-2)))**2.\nAnswer: 15*sqrt(13)\/2 + 25168","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 23 - -17?\nAnswer: 3a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 10 divide 75907?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 20 = -4*x + 8*x. Suppose -x*k - 4*h + 2*h = -59, 4*k - 3*h - 61 = 0. Calculate the least common multiple of k and 6.\nAnswer: 78","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Add together 24380742 and 0.0683491.\nAnswer: 24380742.0683491","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -105736 minus 0.07471893396?\nAnswer: -105736.07471893396","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 141401, 565603, 1272597, 2262383, 3534961, 5090331?\n\"Answer: 141396*u**2 + 14*u - 9","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(z) = -5*z + 49. Let m be v(18). Let s = 43 + m. Solve s*x - 5*x = 15 for x.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:09 PM and 4:20 PM?\nAnswer: 11","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:46 PM and 11:34 PM?\nAnswer: 48","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -4153 - -4210. Which is smaller: -5 or i?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(s) = s**3 + s. Give j(2).\nAnswer: 10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = q**2 - 9*q - 10. Let p be f(10). Suppose p = -2*r, 0 = -4*z - 5*r + 68. Let l = z - 10. List the prime factors of l.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -934.3685 to the nearest 100.\nAnswer: -900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -50302412*g**4 - 100*g**2 - 388*g - 227?\nAnswer: -1207257888*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -4377.1*0.3.\nAnswer: -1313.13","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l + 9 = 2*l. List the prime factors of l\/(-12) - 66\/(-24).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = 6*u - 12. Let k be c(3). Suppose -k*w + 6 = -4*w. Suppose 2*l = -0*y + w*y + 279, 2*y + 692 = 5*l. What are the prime factors of l?\nAnswer: 2, 3, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*h - 2 = -5*m, m = 3*h - 8*h + 12. Solve 0 = -p - 0*c + m*c + 6, 4*p - 15 = -c for p.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*g = -2*v + 348, g - 526 = -3*v - 0*v. Find the common denominator of (-618)\/(-8)*(-2)\/(-18) and (7\/v)\/((-6)\/435).\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6 divided by 97?\nAnswer: 6\/97","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*k + 3*k + 3*k)*(-18*k + 27*k + 26*k)*(0 + 1 - 3).\nAnswer: -210*k**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 35*y + 9484. What is l(-155)?\nAnswer: 4059","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 45424 a multiple of 136?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -80.1 + 79.94. Sort 0, 1\/3, l in descending order.\nAnswer: 1\/3, 0, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.34 - -0.04. Let g = -35 - -35.1. Let q = r + g. What is the closest to 2\/5 in 2\/7, 1\/2, q?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-8)\/(-36) - (-94)\/(-180))\/((-381)\/(-508)).\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*m = -3, -2*f + 3*m = 3*f - 22. Suppose 0 = -2*i + 2*w, f*w - 9 = 2*w. Let k = 16 + -8. Solve -3*z - r = -2 + 4, 0 = 2*z + i*r - k for z.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 586 minutes before 4:46 PM?\nAnswer: 7:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Product of 25 and 3076.\nAnswer: 76900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -201098 - 36?\nAnswer: -201134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the first derivative of 2*g**5\/5 - 803*g**4\/4 - 7*g**2 - 4*g + 515. Find the second derivative of w(q) wrt q.\nAnswer: 24*q**2 - 4818*q","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 444 and 11766?\nAnswer: 222","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -690*k - 2319 = 441 for k.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((p**(-2\/75)*p)\/p*p\/p**(-15))**(-27) assuming p is positive.\nAnswer: p**(-10782\/25)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 97 is divided by 7?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.090552281 - 237.909348719. Let c = r + 238. Round c to 5 decimal places.\nAnswer: 0.0001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (0 + (3 - 2))\/((-1)\/(-5)). Suppose 20 = -5*y, 3*y - y - 37 = -q*t. What is the units digit of 2*9*(t\/(-6) - -2)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (11 - 16)\/(2\/(-2)). Let o(q) = -q**3 + 3*q**2 + 13*q - 17. Determine o(c).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 18\/(-15)*-5*1\/(-2)\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 12 - 250457?\nAnswer: -250445","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 19756 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 70 = 2*k - 110. Suppose 294*t - 143*t - 142*t = 225. Calculate the remainder when k is divided by t.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from rttfpqql. What is prob of sequence lqf?\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let r(m) = m**3 + 269*m**2 - 246*m + 6694. Determine r(-270).\nAnswer: 214","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -24, -56, -88?\n\"Answer: -32*n + 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 543646197?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y be -1 + 1 + (-2)\/12. Let w = -31475\/13 + 2421. What is the nearest to 2 in w, -1, y?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 1 + -111100?\nAnswer: -111022","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 0 - 1. Let q = -3 + s. Which is the third smallest value?  (a) 5  (b) q  (c) -0.2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 18617, 148025, 499261, 1183235, 2310857, 3993037?\n\"Answer: 18485*u**3 + 4*u**2 + u + 127","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*r - 3*r. Suppose -3*z + 6*z - 39 = r. Calculate the common denominator of -13\/8 and z.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*h - 380 = -376. Suppose -2*b + h*u + 2 = 0, -9*u = -5*b - 12*u + 29. Let t be 1\/(1*(-1)\/3). Sort b, -5, t.\nAnswer: -5, t, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(a) = -a**3 - 4*a**2 + 2*a - 2. Let g be z(-4). Let h(d) = 2*d**2 - 114*d + 932. Let n be h(47). Sort n, 5, g in increasing order.\nAnswer: g, n, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 180 divide 5298?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-6 + 7)*4)\/4*26. Solve 57 = -w*f + 7*f for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 13*(-25)\/500*2\/(-13).\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4941 = -46*n - 104*n + 11892 - 3933 for n.\nAnswer: 86","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*l + 75 = -84. Suppose p = 149 - l. What is the tens digit of p?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 485*n - 538*n - 2148*n - 1963*n + 514*n in the form f*n + w and give f.\nAnswer: -3650","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 423867 and 207?\nAnswer: 69","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -18 - (-1 + (9 + 2 - 5) + -6)?\nAnswer: -17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 184265471?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Determine q, given that -q**5 + 15399747*q**4\/10 - 5235909*q**3\/2 + 6159889*q**2\/10 + 4619919*q\/10 = 0.\nAnswer: -3\/10, 0, 1, 1539973","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve 262 = -27*r + 19 for r.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let f(g) = -g**3 + 12*g**2 - 11*g + 3. What is the units digit of f(11)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -63, -54, -45?\nAnswer: -36","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 8 and 304.\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -0.09592198 or -2\/3?\nAnswer: -0.09592198","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many micrometers are there in 11\/10 of a centimeter?\nAnswer: 11000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(11\/6))**(2\/39))**(-17\/5) assuming d is positive.\nAnswer: d**(-187\/585)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 255 - -40. Is p a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9504233.\nAnswer: 9504233","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 809568285?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v = 4, -v + 117 = 5*u - u. Suppose 0 = 5*g - 184 + u. Is g composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 144807354.\nAnswer: 2, 3, 8044853","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 6637326394?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o + 14 = 34. Suppose -2*t + 11 = -3*g - 0*g, 0 = -2*g + 2*t - 8. Let i(n) = -2*n + 6. Let x(b) = b - 3. Give g*i(v) + o*x(v).\nAnswer: v - 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 37.7383 - 0.4083. Let u = 38.1 - 1.1. Let q = x - u. What is q rounded to one decimal place?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 11 by -22.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = m - 3, 5*x - 8557 = -3*m + 107787. Is x composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 4*n + 79. Give x(-3).\nAnswer: 67","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 64 - -15?\nAnswer: 79","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -119, -118, -117, -116, -115, -114?\nAnswer: -113","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = -i**3 + 12*i**2 + 4*i + 15. Let w(c) = -12*c**3 - 35*c**2 + 15*c**3 - 17 - 11*c - 27. Let x(b) = 17*n(b) + 6*w(b). What is the units digit of x(6)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(p) = -13*p - 11. Let z(n) = 6*n + 5. Let t = -362 - -404. Let b(s) = 2*s + 1. Let c be b(1). Let v be c\/15 - t\/10. What is v*m(g) - 9*z(g)?\nAnswer: -2*g - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort -5, 9, 0, 161, -4, 3, -22 in descending order.\nAnswer: 161, 9, 3, 0, -4, -5, -22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 107 - (10 - (-69 + -32 + 78))?\nAnswer: 74","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*p + 3 + 29 = 7*j, -3*p - 2882 = -j - 2853 for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 10 - 10.2. Suppose 0 = 3*b - 4*b. Suppose b = -2*a + 13 - 5. What is the second smallest value in -3, a, w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 852 - 387. Calculate the greatest common factor of o and 60.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 94*j + 73 = 21*j. Put -0.18, -0.7, 4\/7, j in increasing order.\nAnswer: j, -0.7, -0.18, 4\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 406322373.\nAnswer: 3, 4397, 30803","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Round 8210511.2 to the nearest one million.\nAnswer: 8000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -23*m + 2*m - 169 - 20 for m.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, -4, -6, -3, -13 in descending order.\nAnswer: -2, -3, -4, -6, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -5156 + 36010\/7. Let z = 2491\/126 + w. What is the common denominator of -25\/6 and z?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 2\/2*4*(-12)\/128\nAnswer: -3\/8","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let n be 0 - (8 - (-15)\/(-6)*4). Let v be 94\/18 - 12\/54. Solve -n*s = -v*s + 6 for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = 7*m**2 - 13 + 17 + 3*m - 8*m**2. Let i be h(3). Let z(a) = 3*a + a + 5*a**2 - i*a. Let w(b) = b. What is w(z(g))?\nAnswer: 5*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((2*o + o + 0*o)*(-1 + 0 + 2) + o + o + 0*o)*(-4 - 2 - 2) to m*o + d and give m.\nAnswer: -40","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes before 9:57 PM?\nAnswer: 10:55 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-255)\/85 - (-3 - 4\/(-20)). Let q(m) = -22*m**2 + 2*m + 1. Let d be q(-1). Which is the third biggest value?  (a) f  (b) -2  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -80 + 151\/2. Is -5 greater than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f = -3*m - 16, f - 14 = m - 3*f. What are the prime factors of 2\/(-6) - 50\/m?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in 6759, -0.1, 1\/2, 3\/7, 0.3?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 4*-2*sqrt(1216) - sqrt(1216).\nAnswer: -72*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 0.741289899434 from -5.\nAnswer: -5.741289899434","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let t(m) = 0*m**3 + m**3 + m - 18391*m**2 + 950 + 18389*m**2. What is the tens digit of t(0)?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-1)\/(-2)*(9 - 14\/2). Suppose 5*s = -q + 1, 3*q + 1 = -5*s + 4. Sort l, 3, s in ascending order.\nAnswer: s, l, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-6)\/(-14) - (-59630)\/70. Let p = -108403\/126 + v. Calculate the common denominator of -67\/6 and p.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -6*d + 16. Let s be (-3)\/17*(-10)\/12. Let i = s + -71\/136. Which is the biggest value?  (a) i  (b) d  (c) -2\/3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = -q, -46*s - 14 = -45*s + 4*q for s.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 7 divide 782369?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 194\/5 - 39. Which is the smallest value?  (a) 6  (b) -1  (c) -0.4  (d) h\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 2172\/2715*-122*(-5)\/(-8).\nAnswer: -61","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be (-4)\/(-1) + 138\/180. Let u = -25\/6 + q. Which is the nearest to -1?  (a) u  (b) 0.08  (c) -1\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 1212, 1209, 1160, 1065, 924, 737, 504?\n\"Answer: -23*q**2 + 66*q + 1169","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 27\/8 or 3?\nAnswer: 27\/8","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {p: 4, y: 3, i: 5}. Give prob of sequence ipp.\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 754695 and 2115?\nAnswer: 45","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 13.953 - 14. Round w to 1 decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(c) = -3*c**2 + 4*c - 6. Let p(u) = 0 - 7*u + 5 + 2 + 4 + 5*u**2. Let n(b) = 7*m(b) + 4*p(b). Determine n(-2).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 451*i - 98*i + 6001 = 0 for i.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-28)\/(-420))\/(((-48)\/18)\/8)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {l: 4, i: 5, m: 3}. What is prob of picking 1 i and 1 m?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 33815?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u - 1. Let i be z(2). Is i at most -1\/9?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 90\/36*(-16)\/10. Let o(r) = -5*r - 8. What is o(i)?\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*v - 0*v + 4*w - 80, -9 = -2*v + 3*w. What is the least common multiple of v and 6?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*v = -5*c - 24, 12*v - 15*v + 18 = c. Solve v*s - 5 = 19 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 10*t = 8 - 8. Suppose -d + 2*f + 1504 = 4*d, 2*d + 4*f - 592 = t. What are the prime factors of d?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:42 AM and 12:31 PM?\nAnswer: 589","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + 6*sqrt(102)\/((2*sqrt(72))\/sqrt(12)))**2.\nAnswer: -24*sqrt(17) + 169","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -14 - 28 = -2*v. Factor -13*c**2 - 12*c**3 + 6 + v*c - 4*c**2 + 2*c**2.\nAnswer: -3*(c - 1)*(c + 2)*(4*c + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -1\/981 != 0?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = -17*b**2 + 3*b - 2. Suppose 29*t - 12*t = -17. Let a(u) = -u. Calculate t*r(v) - 3*a(v).\nAnswer: 17*v**2 + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in seven halves of a litre?\nAnswer: 3500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 18 and 303?\nAnswer: 1818","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3*h - 4*h - 2*h)*(16 + 16*h - 16) + 6*h**2 - 3 + 3 to the form r*h + s + a*h**2 and give a.\nAnswer: -42","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.06224 rounded to three decimal places?\nAnswer: -0.062","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (r**23\/(r**4\/(r*r*r**(1\/4))))\/(r**(4\/5)\/r*r*r*r\/(r\/(r**(-1\/4)\/r)*r*r*r))**48 assuming r is positive.\nAnswer: r**(2777\/20)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Rearrange ((2*a + 2*a - 3*a)*(6 - 1 - 3) + 2*a + 0*a - a)*(2*a - 62*a**3 - 2*a) to the form q*a**2 + j*a**4 + r*a + g + i*a**3 and give g.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l(h) be the second derivative of 0*h**7 + 0*h**2 + 0 + 0*h**5 - 1\/6*h**4 + 0*h**3 + 1\/28*h**8 + 2*h + 0*h**6. What is the third derivative of l(r) wrt r?\nAnswer: 240*r**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -4 + 0. Calculate the smallest common multiple of (-284)\/(-18) + k\/(-18) and 30.\nAnswer: 240","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2 in 4, -2\/17, -7, -5?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1\/3*g**2 + 0*g + 4\/3 = 0. Calculate g.\nAnswer: -2, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3 in 0.2, -1360, -1?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -46*h = 27 + 57 + 238 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 7.141771 centuries in millennia?\nAnswer: 0.7141771","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: -11416*-0.3\nAnswer: 3424.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -66 + 54. Let d be (u\/(-15))\/(2\/5). Solve d = 3*r - 2*r for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = -u**3 - 11*u**2 + 9*u + 7. Let h(l) = l**2 + 8*l + 11. Let k be 12*(3\/9 + -1). Calculate the remainder when x(-12) is divided by h(k).\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -u**3 - u**2 - 3*u + 9. Let z be o(0). Calculate the common denominator of ((-609)\/4)\/(-7) + -4 and -4*((-52)\/33 - (-6)\/z).\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 240 - 239.5. Put 0, -0.2, 28, r in descending order.\nAnswer: 28, r, 0, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s be (-17784)\/3496 + 2\/23. Sort 4, s, 0 in ascending order.\nAnswer: s, 0, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0.08189 + 48.91811. Put -1\/7, 0.2, z, -4\/7, -3 in increasing order.\nAnswer: -3, -4\/7, -1\/7, 0.2, z","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = 2*k**2 - 3*k - 1. Let x be q(-4). Let z = -33 + x. Suppose -5*l - 265 = -z*l. List the prime factors of l.\nAnswer: 53","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(i) = -3*i - 7. Suppose 6*k + 200 - 158 = 0. Let t be j(k). Solve t*b = 12*b - 6 for b.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 4849, 4243, 3229, 1807, -23?\nAnswer: -2261","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -2*15\/45*-6*-2*100\/16?\nAnswer: -50","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0 in -12, 831, 2, -4?\nAnswer: 2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 10657891*r**2 + 3274*r - 1944.\nAnswer: 21315782","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2968.722 rounded to the nearest integer?\nAnswer: 2969","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 0 = 4. Suppose 9*x = 7 + 20. Let u be 52\/(-8)*-2 - x. Solve -p*h - u = -2 for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 a and 1 v when two letters picked without replacement from vavvzvvvzvvvvv?\nAnswer: 11\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(68) - 3*(sqrt(68) - sqrt(68)*3))*4)**2.\nAnswer: 53312","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 79*f - 1632 = 978 + 609 - 454 for f.\nAnswer: 35","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 589766.6l?\nAnswer: 589766600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -14735621*w + 19823798 wrt w.\nAnswer: -14735621","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Convert 60572 (base 9) to base 10.\nAnswer: 39836","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2839*q**3 - q**2 - 10359*q wrt q.\nAnswer: 17034*q - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) be the second derivative of u**3\/6 - 6*u**2 - 2*u. Let d be v(9). Let w = 0.1 + -0.2. Sort -2\/9, w, d in ascending order.\nAnswer: d, -2\/9, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 125 * 4.\nAnswer: 500","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is -1.45077376 rounded to 4 dps?\nAnswer: -1.4508","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4*i - i - 2*i)*(12 + 8 - 19 - 2*i).\nAnswer: -2*i**2 + i","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 6\/(-14) + ((-106002)\/(-63))\/6. What is the highest common divisor of w and 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 297 is divided by 120.\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 0.32  (b) 2  (c) -2.548\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4758 is divided by 4260?\nAnswer: 498","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (47\/141)\/((-2)\/(-72)). Let w = -71 - -77. Solve 0 = -9*a + b*a - w for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {n: 4, g: 2, x: 4}. What is prob of picking 1 x and 1 n?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11 = 2*x - 25. Let i = 394 - 313. Suppose -36*d = -45*d + i. Calculate the highest common factor of d and x.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2241970 a multiple of 13?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-660)\/440)\/(((-290)\/(-360))\/(-29)).\nAnswer: 54","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*r - 997 = u, 2*u + 207 = r - 2*u. Is r a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (45 - -9 - 12) + (-21 - (-6 - 8) - -16).\nAnswer: 51","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -286 - 2.1?\nAnswer: -288.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -101*d**3 + 0*d**3 - 53*d**3.\nAnswer: -154*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let h(t) = -t + 2. Let g(s) be the second derivative of s**3\/3 - 3*s**2\/2 + 17*s. Let b(f) = -2*g(f) - 3*h(f). Let c(l) = -19*l**2. What is c(b(d))?\nAnswer: -19*d**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(n) = n**2 + 4*n - 1. Determine s(-3).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(n) = n**3 - 6*n**2 + 5*n + 2. Let x be 0*(1 + 4 + -4). Let u be (-2 - -2) + (x - -5). Let s be h(u). Let m(o) = 2*o**2 + o + 2. Determine m(s).\nAnswer: 12","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.18058 rounded to 3 dps?\nAnswer: 0.181","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/3?  (a) -11  (b) -1  (c) -2\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 18, 124, -1, 4, 2, 137 in decreasing order.\nAnswer: 137, 124, 18, 4, 3, 2, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -4638, -9279, -13920, -18561, -23202, -27843?\nAnswer: -32484","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of 37797, 72570, 107337, 142098, 176853?\n\"Answer: -3*b**2 + 34782*b + 3018","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 2af77a - 1?\nAnswer: 2af779","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 7031 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:14 AM and 10:31 AM?\nAnswer: 137","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000669 rounded to 4 dps?\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0\/(10\/(-4)*(-8)\/10). Solve g = 31*d - 32*d - 4 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(h) = -5*h + 25. Suppose 3*o - 79 + 61 = 0. Let q be y(o). Let m(g) = g**3 + 5*g**2 - g - 3. Determine m(q).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in seventy-six fifths of a centimeter?\nAnswer: 152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve -265*n - 4*d - 17 = -274*n, 2*n = -d for n.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 16573 to the nearest integer?\nAnswer: 25","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = -2*u**3 + 144*u**2 - 149*u + 520. What is o(71)?\nAnswer: 23","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(l) = 65*l - 7. Let k be n(-5). Let h be -2 - 4978\/15 - -2. Let m = k - h. Which is the third biggest value?  (a) -2  (b) m  (c) 3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -8*u + 19*u + 4*u**2 - 28*u**2 + 11*u wrt u?\nAnswer: -48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3*r**2 + 2*r**2 + 2*r**2)*(2*r + 3 - 3) + (12*r - 101*r - 85*r)*(2 + 7*r**2 - 2) - 3*r**3 + 6*r**3 - r**3.\nAnswer: -1214*r**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 4, v: 14}. Give prob of picking 4 e.\nAnswer: 1\/3060","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:21 AM and 3:28 PM?\nAnswer: 607","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - (0 + -6 - -12 - 22)?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -88 = -4*b + 2*w, 3*b - 129*w + 125*w = 51. Let d(i) = i + 4. Let c be d(3). What is the second derivative of 0*z**2 + 2*z - c*z**2 + b*z + 6*z wrt z?\nAnswer: -14","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, -4, -5, 3.2, 166\/7, -0.04 in ascending order.\nAnswer: -5, -4, -3, -0.04, 3.2, 166\/7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) -0.6  (b) -1  (c) 4  (d) 6  (e) 68\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2 and 50?\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 23169859 to the power of 1\/3, to the nearest integer?\nAnswer: 285","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is o in -3*o**5\/2 - 111*o**4 + 117*o**3 + 330*o**2 - 1119*o\/2 + 225 = 0?\nAnswer: -75, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 4556337 to the power of 1\/9, to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express (-1030*c - 1059*c + 89*c - 534*c - 623*c)*(c - 5 + 5) in the form l*c + w + g*c**2 and give g.\nAnswer: -3157","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is 105\/(-42)*4\/(-5)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 = -4*r + 2*b + 343, r + 3*b = 101. List the prime factors of r.\nAnswer: 2, 43","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1560, 6467, 14708, 26289, 41216?\nAnswer: 59495","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((5 + -2 + (sqrt(12)\/sqrt(6)*-6 - (sqrt(2) - 1*sqrt(128))))*1)**2*-1.\nAnswer: -11 - 6*sqrt(2)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 111*h - 184*h = -674593. What is the remainder when h is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) = i + 11. Let l = -102 + 94. What is n(l)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 85081 to the power of 1\/2, to the nearest integer?\nAnswer: 292","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: 304\/1976*26\/(-72)\nAnswer: -1\/18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 2:12 PM and 6:10 PM?\nAnswer: 238","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 23*m + 865 - 1210. Calculate the highest common factor of m and 13605.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 8 - 8. Suppose b*c + 3*c = -36. What is the units digit of (c\/(-18))\/(6\/9)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 85.10685l?\nAnswer: 85106.85","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7 and 1883.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1\/5, 59\/5, -13798 in ascending order.\nAnswer: -13798, 1\/5, 59\/5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/8 of a centimeter in micrometers?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (88 - 72 - (14 + 0)) + (13 - -1)?\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9535*d**5 - 6*d**3 - 2*d - 78.\nAnswer: 190700*d**3 - 36*d","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 2297\/184 or 313?\nAnswer: 2297\/184","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 153555?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-28)\/4)\/(-1) + (-1 - 0). Suppose 0*p + 14 = 2*p - l, 2*p + 4*l = -o. What is the units digit of p?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.1?  (a) -1\/4  (b) -7\/8  (c) -2\/3  (d) -9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3 - 2 + 4)*(-879*c + 688*c - 324*c).\nAnswer: 515*c","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*t + u = 15, -4*t = -0*t - 4*u + 12. Suppose -23*s + 20*s - 3*i - 57 = 0, -i - 240 = 14*s. Sort s, t, 4 in decreasing order.\nAnswer: 4, t, s","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3538348?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 4373772 to the power of 1\/2, to the nearest integer?\nAnswer: 2091","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v(p) be the first derivative of 5*p**6\/42 - p**5\/5 - 13*p**4\/28 + 31*p**3\/21 - 10*p**2\/7 + 4*p\/7 + 51. Factor v(c).\nAnswer: (c - 1)**3*(c + 2)*(5*c - 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3520) - (sqrt(3520) - sqrt(3520)*1) - sqrt(3520))\/(sqrt(45)\/(sqrt(54)\/sqrt(6))).\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 0 - -4. What is the least common multiple of z and (-7)\/(-21) + (-4)\/(-6)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (-2)\/(-3 + 4\/2). Let f(s) = t*s - 2*s - 2*s - 5. What is f(-4)?\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 19 divided by 72371\nAnswer: 1\/3809","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 103\/13178 and 71\/11980.\nAnswer: 131780","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -258477, -258875, -259289, -259719, -260165, -260627, -261105?\nAnswer: -261599","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 12952\/9 + -12400\/9. Suppose 80\/3*m - 34*m**4 + 6*m**5 + 20\/3*m**3 + l*m**2 + 0 = 0. Calculate m.\nAnswer: -2\/3, 0, 2, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 3\/13 + 17\/39. Let l = 46 + -136\/3. Factor -10\/3*r - d*r**5 + l + 10\/3*r**4 + 20\/3*r**2 - 20\/3*r**3.\nAnswer: -2*(r - 1)**5\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*o = 5*i - 279, 5*o + 3*i - 375 = 2*i. What is the highest common divisor of 19 and o?\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7 a factor of 852304007?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 75924115.\nAnswer: 5, 31, 489833","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 17646 to the power of 1\/2, to the nearest integer?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 30\/301 + 8\/43. Let a = 2.2 - 2.6. What is the nearest to 0 in 0.3, l, a?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: (156\/(-5))\/((-904)\/(-1130))\nAnswer: -39","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -3*q + 2*q - 4*q. Let w(r) be the third derivative of -r**5\/60 - r**2 + 9. Calculate w(h(g)).\nAnswer: -25*g**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -5*v - 6*k + 4*k - 9, v - 4*k + 15 = 0 for v.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*i**4 + 5*i**4 + i**4 + (-7 + 2 + 3)*(i**2 - i**2 - i**4).\nAnswer: 8*i**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve w - p = 6, 5*p - 5 = -15 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 192 and 72?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.12 in -3, -2\/9, 1, -2\/5?\nAnswer: -2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -2b + -6b09d2?\nAnswer: -6b0a0d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: How many millimeters are there in one quarter of a meter?\nAnswer: 250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -2 + 0. Let t = s + 17. Suppose 7*w - 196 = -0*w. What is the remainder when w is divided by t?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17328899?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, -5, 5470, 3, 0, -3 in increasing order.\nAnswer: -5, -3, 0, 1, 3, 5470","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*c = 18*c for c.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 3 + 4502?\nAnswer: 4505","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does 17 divide 1032343?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -7645.386 times -4\nAnswer: 30581.544","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence db when two letters picked without replacement from {n: 3, d: 1, s: 1, b: 2}.\nAnswer: 1\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in fifteen quarters of a litre?\nAnswer: 3750","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 10:59 AM and 4:09 PM?\nAnswer: 310","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let s(y) be the third derivative of 48*y**7\/7 + y**4\/12 + 88*y**3\/3 + 2*y**2 + 190. What is the second derivative of s(q) wrt q?\nAnswer: 17280*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 21936688 to the nearest integer?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 1196549611 to the nearest integer?\nAnswer: 34591","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8*x = -1 + 1. Is ((-6)\/(18 + x))\/(2\/(-8490)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 2*m - m + 5763 - 5602 in the form t + p*m and give t.\nAnswer: 161","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5 - 5 - 2*t**2 + (11377 - 11377 - 442*t)*(4*t - 3*t + 2*t))*(4*t**2 - 2*t**3 - t - 4*t**2).\nAnswer: 2656*t**5 + 1328*t**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is -3\/29 equal to 2689?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 5*h = 41, -9*j = -11*j - 4*h + 52. Let m be (72\/j + -7)*1. What is the third smallest value in m, -4, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 + 1 - 2*z)*((-1 + 0 + 0)*(1 - z - 1) + (z - z + z)*(0 + 1 - 2)*(-348 - 480 - 420)).\nAnswer: -2498*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -23 - -32. Suppose 0 = -19*z + 10*z + 189. Calculate the least common multiple of d and z.\nAnswer: 63","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1901143 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence autt when four letters picked without replacement from {m: 5, t: 3, u: 1, a: 1}.\nAnswer: 1\/840","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 946606?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 18 - 18 - 77*s + 0*s.\nAnswer: -77*s","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 4709*a + 4796*a + 4748*a - 13184*a.\nAnswer: 1069*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 10870954?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -b + 1. Let j(q) = 10*q - 2. Let i(u) = -j(u) + 3*l(u). Suppose 4*n = 2*n - 10. Let h be i(n). Calculate the greatest common factor of h and 14.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 50160\/(-1881)*2\/(-8).\nAnswer: 20\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 17 + (-14 - (-13 + 8)). Suppose r*k + 24 = 56. What is the highest common divisor of k and 412?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(s) = 15*s**2. Let f(r) = 2770*r. Calculate o(f(n)).\nAnswer: 115093500*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 48 - 28. Let a = p + 19. Suppose -a = -5*b + 41. Does 8 divide b?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:04 PM and 8:13 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b(c) = c - 1. Suppose -35 = 7*d + 91. Let o be b(d). Let s = o + 20. Calculate the remainder when 1 is divided by s.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-5203)\/66 - -7 - 10) + (-14)\/84\nAnswer: -82","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eii when three letters picked without replacement from {e: 1, p: 12, h: 4, i: 2}.\nAnswer: 1\/2907","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of 5368, 21477, 48326, 85915, 134244, 193313?\n\"Answer: 5370*j**2 - j - 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 j, 1 l, and 1 f when three letters picked without replacement from {i: 1, l: 1, j: 2, f: 2, m: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let l(b) = -14*b**3 - 2*b**2 - 38*b - 27. Let g(f) = 5*f**3 + f**2 + 13*f + 9. Let c(k) = -17*g(k) - 6*l(k). Let t be c(-6). Solve t*i = -0*i - 3 for i.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 11100101001 (base 2) in base 3?\nAnswer: 2111220","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -29*r + 4507 + 388 = -117601. Is 192 a factor of r?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 3 and 14976.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 146?  (a) 0.4  (b) 2  (c) 0.1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -61*s + 57*s - 4*g - 1263744, -s - 315924 = -g. What is s rounded to the nearest ten thousand?\nAnswer: -320000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -607 = 9*c - 10*c + m, -5*c + 2*m + 3035 = 0. List the prime factors of c.\nAnswer: 607","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: -4403 (base 5) to base 16\nAnswer: -25b","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 25*j = 22*j + 3*o + 9, -4*j + 15 = -o for j.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 5522 is divided by 290?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(119) + (sqrt(119) - (sqrt(119) - -4*(sqrt(119)*3 - sqrt(119)))) - sqrt(119))\/(sqrt(35)\/(sqrt(5) - (sqrt(5) + sqrt(20)))).\nAnswer: 16*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -2*d**3 + 21*d**2 - 10*d + 9. Let f be v(10). Let x = 16 + -4. Factor -f + x*q - 8*q**2 + 4*q**2 + 1.\nAnswer: -4*(q - 2)*(q - 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) = 8*b + 14. Let d(u) = -7*u - 12. Suppose -4*j + n + 28 = 0, 0 = 3*j + 2*j + n - 26. Let q(k) = j*d(k) + 5*s(k). Determine q(-3).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q be 2\/3 + 6\/9. Let k be 0 - (16 + (-5)\/5). Let i(y) = -y**2 - 13*y + 31. Let h be i(k). Which is the biggest value?  (a) q  (b) -0.2  (c) h\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*y + 73 = -4*w + 3*w, -45 = -3*y + w. Calculate the remainder when y is divided by 4.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0 + 0 + 18)*(6 - 1 - 23)*(2*w + 1 - 1) as y*w + f and give y.\nAnswer: -648","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1635 divided by -63.\nAnswer: -545\/21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate 15*i**2*n - 5*i**2 - 6*n with respect to i.\nAnswer: 30*i*n - 10*i","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 2\/(((-18)\/(-42))\/(90\/42))\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -17 + 119. Let d(z) = -z**2 - 15*z - 9. Let p be d(-14). Suppose 4*o - 2*s - f = 0, p*s - 70 = -3*o - 0*o. Is o a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3164970408 to the nearest integer?\nAnswer: 56258","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express ((-3 + 3 + 2)*(3 + 0 - 1) - 5 + 1 + 5 + 25 + 13 - 16)*(b - 4*b - 5*b) in the form h*b + f and give h.\nAnswer: -216","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 145*r - 2 = 144*r, 8*s - 2744 = -4*r. What is the lowest common multiple of s and 570?\nAnswer: 1710","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c - 2*c + 4*c)*(-3 - 2 + 3)*(-3 + 0 + 0)*(c - 6*c + 2*c).\nAnswer: -18*c**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 42\/6 - 0\/3. Let w(m) = 5 - 4 - 2 - i*m. Calculate w(-1).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 22617 + -113557\/5. Let x = d - -95. Which is the third smallest value?  (a) x  (b) -5  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the vth term of 58, 84, 110, 136, 162?\n\"Answer: 26*v + 32","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2\/459?  (a) -3\/2  (b) -619  (c) 29\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 2*g - 1. Let a(m) = -149*m**3 + 6*m - 12*m + 30 + 139. Let j(v) = a(v) + 3*o(v). Differentiate j(u) wrt u.\nAnswer: -447*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 121896 to the nearest integer?\nAnswer: 349","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-1 - -10) + (-216)\/48 + 2\/(-4). Let d(l) = -3*l - 15. Give d(z).\nAnswer: -27","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 43668*c**3*x**2 + 255*c**3*x + 4*c**3 + 11*c**2*x**2 - c**2*x + 8*c**2 + 2*x + 1342 wrt c?\nAnswer: 262008*x**2 + 1530*x + 24","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of d**5 + 65*d**4 + 190*d**2 - 67867*d.\nAnswer: 20*d**3 + 780*d**2 + 380","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 1 - 2 - 60\/(-30)?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: 40566 or 9?\nAnswer: 40566","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Express (9*g - 22*g**2 - 11*g - 5*g**2)*(-5 + g**2 + 3*g**2 + 8) in the form x*g**2 + z*g**4 + a + r*g + y*g**3 and give y.\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -879 + 430. Let o = j - -1333\/3. Let n = -5 - o. Which is the third smallest value?  (a) 4  (b) n  (c) 5  (d) -4\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_test"},"subset":"dm_maths"}
{"text":"Question: Let y(t) = 6*t**2 + 3 + 5*t**2 + 4*t - 10*t**2. Determine y(-4).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(s) = 4*s**3 - 7*s**2 - 5. Let n(a) = -3*a - 4*a - a**3 + 1 + 7*a + a**2. Determine 5*n(u) + r(u).\nAnswer: -u**3 - 2*u**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Express -2*f + 5 - 17*f**3 - 4 - 4*f**2 + 7*f**2 + 14*f**3 - 6*f**2 in the form c*f**3 + q*f + i + y*f**2 and give y.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -4 + 11524*o + 11528*o - 23058*o + 64*o**2 + 13*o**2 + 53*o**2 to the form i*o + m*o**2 + z and give i.\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -420 + 410. Let i be (679\/(-70) - g)\/(6\/(-4)). Let q = -6 - -4. Which is the nearest to 2?  (a) q  (b) 0  (c) i\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/5 of a gram in milligrams?\nAnswer: 600","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101 (base 2) to base 7.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of -40545, -40392, -40239, -40086, -39933, -39780?\n\"Answer: 153*y - 40698","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 49934?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-17 + 73\/(14965\/6068))*(-3)\/9.\nAnswer: -21\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*l - 4*z = z + 130, 5*l = 4*z + 291. Let k be 104\/10 - 22\/l. Solve 0 = b - 6*b - k for b.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = 193*h**4 - 6*h**3 + 184*h**2. Let q(p) = -p**3 - p**2. Let v(i) = 6*q(i) - r(i). What is the third derivative of v(j) wrt j?\nAnswer: -4632*j","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 1, 0, 2942 in increasing order.\nAnswer: 0, 1, 2942","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is (16\/4)\/(6\/(-3)*-11)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.00000285529762 rounded to 7 decimal places?\nAnswer: -0.0000029","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:30 PM and 12:57 AM?\nAnswer: 327","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let c(g) be the first derivative of -3*g**4\/2 - 5*g**3\/3 + 4*g - 15. Let z be c(5). Let l = -471 - z. Round l to the nearest one thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_test"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is 2d5d93c + 2?\nAnswer: 2d5d93e","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-1)\/(129\/33 + -4). Let c = -4 - -15. What is the highest common divisor of o and c?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1111000101111100000 (base 2) to base 9\nAnswer: 833361","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 3\/7, -350\/11, -7, 0.4, 1\/4 in decreasing order.\nAnswer: 3\/7, 0.4, 1\/4, -2, -7, -350\/11","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 3, x: 4, w: 4, k: 4, e: 1, o: 1}. Give prob of picking 1 o and 1 k.\nAnswer: 1\/34","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 296 and 6068?\nAnswer: 148","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -4*((-10)\/4 + 3). Let k be (l\/3)\/((-1)\/(-3)). Is k\/(4\/(-6))*130\/15 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1064056 + -2190204.\nAnswer: -1126148","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w = v - 0*v - 30, 0 = -v + w + 34. What is the tens digit of v?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 101 (base 4) in base 7?\nAnswer: 23","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 3571718 to the nearest integer?\nAnswer: 1890","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from qqqqnmnnntdtrqq. Give prob of picking 2 q, 1 d, and 1 r.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s - 10 = 3*v, 3*s + 3 = -v - 3. Let z be -2 + 13\/(65\/20). Solve z*a + 3*a - 10 = v for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1\/3 in 2, 13, 25, 0, -5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = 2*b**2. Let n(u) = 6*u - 13*u + 8*u + 62 - 12 + 4. What is g(n(x))?\nAnswer: 2*x**2 + 216*x + 5832","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 112535 to the power of 1\/3, to the nearest integer?\nAnswer: 48","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (52 - 57) + (-2 - 0 - -2).\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, 4, -1 in ascending order.\nAnswer: -2, -1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/4?  (a) -4\/149  (b) -816  (c) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*i**2 + 30*i**3 - 76*i**2 + 24*i**3 + 20*i**2 + 28*i**2.\nAnswer: 54*i**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort -10, -516, -1, 4, -3, 1 in increasing order.\nAnswer: -516, -10, -3, -1, 1, 4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 11*w - 7*w - 92 = 0. Calculate the remainder when 66 is divided by w.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -42215001 + -1?\nAnswer: -42215002","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 26941?\nAnswer: 29, 929","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-3 + -1)\/((-12)\/6). Suppose -x + 20 + 21 = -3*l, 0 = -j*x + 2*l + 70. Is x a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2063 to the power of 1\/2, to the nearest integer?\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 29976 + -29940. Calculate the greatest common divisor of z and 13164.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 2, -81, 1 in increasing order.\nAnswer: -81, -4, 1, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 371 = -3*l - 4*v, v = -3*l + 90 - 446. Let i = -30 - l. Is (-6)\/((-1)\/(i\/6)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (4 + 2 - 1)*(3 - 2*k - 3)*(4*k**2 - 12*k**2 - k**2).\nAnswer: 90*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -43*c = -40*c - 15. Suppose 2*q - c*q = -7857. Let w = q + -1360. Is w prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 332.2 + -332. What is the nearest to 1 in t, -5, 1, 5?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -443*m - 15 = -446*m for m.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 89896404?\nAnswer: 2, 3, 13, 29, 31, 641","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -17\/26880 and -109\/308?\nAnswer: 295680","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((((a\/a**(-2\/13))\/(a**(3\/8)*a))\/((a\/(a*a**(-3\/4)\/a))\/((a*a**(2\/5)*a)\/a)))**(12\/7))**(12\/7) assuming a is positive.\nAnswer: a**(-5346\/3185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 32 = -16. Let y = -16 + 9. Put r, y, 0 in ascending order.\nAnswer: y, 0, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = 25*h - 19. Determine v(4).\nAnswer: 81","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -14 + 10. Let a(g) = -g**3 - 5*g**2 - 3*g + 5. Let j be a(l). Is -2\/21 smaller than j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18104202 is divided by 276.\nAnswer: 258","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 468618.1l in millilitres?\nAnswer: 468618100","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 12617 + -3180. Is 56 a factor of o?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 8*l = 11*l - 294. List the prime factors of l.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/((1\/2)\/(12\/(-24)))?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8a3 (base 15) to base 12.\nAnswer: 1169","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(v) = 131*v**2 - 4714*v - 72. Let l be q(36). Determine p so that 0 - 1\/6*p**3 + l*p**2 + 1\/6*p = 0.\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1 - -0.13606.\nAnswer: -0.86394","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 4391 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 425, 176 in descending order.\nAnswer: 425, 176, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 23099 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -2 + 15 - (7 + 1 + -3).\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*g - 30*g**2 - 3*g + 51*g**2)*(-3*g**3 + 13*g**3 - 3*g**3).\nAnswer: 147*g**5 + 14*g**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -24*w + 126 = 30 for w.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 3088641 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -79 - -95. Let c = 11 + -3. Calculate the smallest common multiple of r and c.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**3 + h**2 - 2*h + 8. Let t be o(0). Suppose -s + 2 + t = 0. Suppose 648 = s*u - u. Calculate the highest common factor of u and 12.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -122089662.83 and -1.1.\nAnswer: -122089663.93","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*(-1 + (sqrt(891) - (sqrt(891) + 4 + sqrt(891))) + 2*(sqrt(891) - (4 + sqrt(891))))**2.\nAnswer: 234*sqrt(11) + 1060","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(u) = 82*u**2 + 81*u**2 - 4*u + 119 - 249*u**2 + 87*u**2 - 19*u. What is o(9)?\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of 14693, 35142, 55591, 76040, 96489, 116938?\n\"Answer: 20449*w - 5756","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 42 and 20.\nAnswer: 420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m**3 - 5*m**3 + 4*m**3)*(8*m - 8*m - 6*m**2).\nAnswer: -6*m**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 40*t + 24 = -4*w + 36*t, 2*w + 4*t + 16 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 19150347 a multiple of 969?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q(h) = h + 7. Suppose -4*a + 12 = 32. Let y be q(a). Let z be (-27)\/(-6) - 3 - y. What is the biggest value in -3\/5, z, -2?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.2 in 0.3, -8, -1?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 0 - 126529?\nAnswer: -126529","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 y and 3 t when four letters picked without replacement from {y: 4, g: 4, o: 2, v: 2, t: 6, p: 2}.\nAnswer: 16\/969","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -2.01 + 0.01. Let o be ((-1430)\/(-195))\/((-4)\/(-6)). Let t(z) = -2*z**2 + 19*z + 37. Let j be t(o). Which is smaller: i or j?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from dsddddsdds. Give prob of picking 1 s and 2 d.\nAnswer: 21\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 22  (b) 21  (c) -3.4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 322600 - -15.21\nAnswer: 322615.21","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-8 - 6) + 40 + -47?\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -15263 in 0.4, -5, 5, -0.7, 0?\nAnswer: -5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) be the third derivative of 13*f**6\/8 + 2*f**5\/15 - 23*f**4\/24 + 1446*f**2. Find the third derivative of z(p) wrt p.\nAnswer: 1170","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -20*p - 244 = -1524. What is the remainder when p is divided by 36?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 1.1 + -0.1. Let x = c + 0. Which is smaller: 2\/7 or x?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -4\/5 in 0.3, 2\/73, -37?\nAnswer: 2\/73","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(v) = v**2 - 4*v + 7. Let h be k(-8). Suppose -5*w + 83 = 3*s, -s - h = -4*w - 23. Calculate the remainder when 111 is divided by w.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 174.1234 + -206.49. Let r = p + 0.0666. Let y = -64.7 - r. Round y to the nearest integer.\nAnswer: -32","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6291 is divided by 200?\nAnswer: 91","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is -167136 rounded to the nearest one thousand?\nAnswer: -167000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-1 + ((0 + sqrt(1008))*1 + sqrt(1008))*6 - (-2*(sqrt(700) + -1) + 6*(-1 + sqrt(847))))**2.\nAnswer: 588*sqrt(7) + 67237","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (48\/360)\/(3\/9).\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let t(i) = i**3 + 3*i**2 + 1. Let f(b) = 4*b**2 + 1. Let h(k) = 4*f(k) - 5*t(k). What is h(1)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 65*r = 120062 + 554752 + 82566. What is the hundreds digit of r?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5434190 and 1480?\nAnswer: 370","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = -t**3 + 10*t**2 + 14*t + 6. Is 22 a factor of r(11)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1188 divided by 12.\nAnswer: 99","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = -3*v + 2*v. Let p = 11 + v. Suppose -p*a + 27 + 48 = 0. Is 5 a factor of a?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of -720, -730, -744, -762, -784?\n\"Answer: -2*x**2 - 4*x - 714","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*q**3 + 3272*q**2 + 251136*q + 4613760.\nAnswer: -4*(q - 890)*(q + 36)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n(j) = j**2 - 22*j + 47. Let i = 43 - 39. Let d be (-20)\/(-3 + -2 + i). Calculate the remainder when 13 is divided by n(d).\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-13)\/(-3)*2\/22. Let i = 2\/33 - w. Let p = -2009.59 + 2009.79. What is the nearest to i in -0.1, p, -1\/7?\nAnswer: -1\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22*h = 94 + 16. Suppose -4*o + 35 = -h*s, -8*s = -2*o - 9*s + 7. Let j(z) = -z**3 + 6*z**2 - 2*z - 9. What is j(o)?\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(39) + sqrt(39) + sqrt(351)\/(2*sqrt(9)))\/((2*sqrt(15))\/sqrt(5)).\nAnswer: 5*sqrt(13)\/4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 17167 is divided by 159.\nAnswer: 154","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 6633622?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -26 = -3*f - 8. What is the units digit of f?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) be the third derivative of -t**6\/120 - t**5\/60 + t**4\/8 + t**3\/2 - 13*t**2. Suppose -3*x - 6 = -0*x. Determine w(x).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 c, 1 m, and 1 r when three letters picked without replacement from mrkcr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -21022202001020 (base 3) to base 7\nAnswer: -45040263","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - 7 = -132. What is the third derivative of -6*v**2 - t*v**4 - 8*v**2 + 17*v**2 + 10*v**2 wrt v?\nAnswer: -600*v","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*d**4\/9 + 22*d**3\/3 - 242*d**2\/3 + 2662*d\/9.\nAnswer: -2*d*(d - 11)**3\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -26351 + 13184 + 13210 + 9*p**2 + (2 - 2 + 2*p)*(-2 + 2 + p) to the form l*p**2 + h*p + t and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Does 203 divide 4199036?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 1*((4 + sqrt(99) + (sqrt(99) - (sqrt(99) + 1)))*1 + 1*sqrt(77)\/sqrt(7) + (sqrt(11) - sqrt(396) - sqrt(11)) + 3).\nAnswer: -2*sqrt(11) + 6","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 798 is divided by 54.\nAnswer: 42","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -3.84 + 32.12. Let b = 29 - y. Round b to one dp.\nAnswer: 0.7","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -275006, -550008, -825000, -1099982, -1374954, -1649916?\n\"Answer: 5*m**2 - 275017*m + 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 360 and 97095690.\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let m(z) = 1133*z + 138172. Calculate m(-122).\nAnswer: -54","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 126  (b) 2\/171  (c) -4\/9\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Convert 8291.216 nanograms to milligrams.\nAnswer: 0.008291216","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2 - 4*l - 3*l + 2*l + (-2 + 0 - 1)*(2*l - 2*l + 2*l).\nAnswer: -11*l - 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -618.6 + 619. What is the third biggest value in -338, 1\/2, r?\nAnswer: -338","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -305.898 - 0.102. Let w = t + 306.000705. Round w to 4 dps.\nAnswer: 0.0007","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 3\/10 of a litre?\nAnswer: 300","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 - 9 + x + 19.\nAnswer: x","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Solve -165*t = -154*t - 11 for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -20 + 24. Suppose -u - 55 = j - 2*j, -2*j + b*u = -118. List the prime factors of j.\nAnswer: 3, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 149\/1980 and 55\/36.\nAnswer: 1980","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*c = -1071*t + 1066*t + 141, 0 = 4*t + c - 120. Let l be (-52)\/14 + (-8)\/28. Let d = 2 - l. Calculate the remainder when t is divided by d.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(4 + ((1*sqrt(75) + sqrt(75) - sqrt(75)) + sqrt(75))**2 - (sqrt(75) + -2*-1*sqrt(75))).\nAnswer: -90*sqrt(3) + 1824","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 8 - 8.00000005. What is k rounded to seven decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -49*y**2 - 46*y**2 + 14*y**2 - 2*y - 18*y**2.\nAnswer: -99*y**2 - 2*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 + 1 + 1 - -1 - 2?\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -0.205 and -4747.\nAnswer: 973.135","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is 12212104 (base 5) in base 8?\nAnswer: 343461","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 5123749613 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-14)\/49)\/(2\/14).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-22*n - 50*n - 210*n)*(-n + 4*n - n)*(9 - 4 + 3) to the form h*n + j*n**2 + g and give j.\nAnswer: -4512","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p + 1 = -s, 2347 = p + 3*s + 2380. Suppose 7*o - 40 = 2*o. Suppose y - o = -y. Let j(t) = 4*t - 4. Let z(w) = 4*w - 3. Calculate p*j(i) + y*z(i).\nAnswer: 4*i","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.5, -3\/5, -1\/4, 2\/13, 4?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -3005 from -270774.\nAnswer: -267769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 6320.\nAnswer: 2, 5, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.007 in -0.1, -1\/11, 3\/5, 3?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 1  (b) 4  (c) -5  (d) 1769  (e) 1289  (f) -2\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 2251 + -1?\nAnswer: 2250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-h - 4*h + 4*h)*(4 - 1 + 3)*((3 + 4 - 4)*(-2*h + 0*h + 3*h) - 1 - 4 - h + 3*h) to the form m*h**2 + a + d*h and give m.\nAnswer: -30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**(-1\/4)*(u\/((u\/u**(-2\/5))\/u))\/u)\/((u**(1\/6)\/u)\/(u\/(u\/(u\/(u**(-6\/13)\/u)*u))*u)) assuming u is positive.\nAnswer: u**(3623\/780)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-m - 2*m + m)*(-2 + 2 + m) + (4*m - 3*m + 0*m)*(0*m - 2*m + 0*m) - 2*m - 2*m**2 + 2*m - m**2 + 0 + 0 - 8 - 4*m**2 + 8.\nAnswer: -11*m**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 55 - 35. Suppose h - 5 - 3 = y, -y = -2*h + u. Calculate the smallest common multiple of 22 and h.\nAnswer: 132","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 51593 = -782*g + 17185 for g.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f + 2 = 2*q + q, f - 2 = q. Let i be q + (-12)\/(-60)*(-1 - -6). Solve i*l + 8 = -l for l.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(j) = -j**3 + 6*j**2 - j + 8. Let k be x(6). Suppose -5*z - 46 = -k*b, z = 8*b - 4*b - 110. Is 6 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 960\/(-21) - -23 - (-18 + 0\/(-6)).\nAnswer: -33\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8 - -8. Suppose 5*t - 3*x - 83 = o, -4*x + 0*x = -4*t + 68. What is the tens digit of t?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 41 + -41.4. Sort 4\/3, -0.2, j in ascending order.\nAnswer: j, -0.2, 4\/3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express f**4 + 0*f**3 - 2*f - 5*f**3 + 3*f**3 + 3*f - 2 as m*f**2 + p + x*f + i*f**3 + q*f**4 and give p.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((r**3*r*r**(2\/11))\/(r**(-2)*r)**(-10))\/(r**8\/r*r**9*r*r*(r\/(r*r\/(r**(-2\/7)\/r*r)))**(-1\/29)) assuming r is positive.\nAnswer: r**(-53285\/2233)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*r**5 + 0*r + 0*r)*(1 + 0 + 0)*(-1 + 2 + 1)*(-3 + 5 - 1).\nAnswer: 4*r**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*h + 5*h - 4385. Is h a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 259069645 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let u(d) = 7*d + 1. What is the remainder when u(3) is divided by 8?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 0.02 - 0.22. Let y be (-280)\/(-32) + (-2)\/(-8). Let n be ((-2)\/(-10))\/(10 - y). What is the closest to -1\/6 in x, -0.1, n?\nAnswer: x","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a be ((-283)\/(-2) - -3) + (-9)\/18. What is the highest common factor of a and 18?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(p) = -p**3 - 5*p**2 + 5*p - 7. Let v be l(-6). Let k = 3 - v. Suppose 43 = k*t + n + 4*n, -5*t = -3*n - 63. What is the remainder when t is divided by 7?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let -12*r + 465*r**2 - 5*r - 466*r**2 - 16 = 0. Calculate r.\nAnswer: -16, -1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -8*w**3 - 6*w**2 - 6. Suppose -5*l - 10 = 5*s, -l - 3*s + s = 7. Let r(i) = -3 - 4 - 9*i**l - i**2 - 6*i**2. Calculate -6*r(q) + 7*t(q).\nAnswer: -2*q**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Sort 11, -5, 5, 15.\nAnswer: -5, 5, 11, 15","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = d**3 + 9*d**2 + 9*d - 3. Let z be v(-8). Let x = z + 7. Let u = -1 - x. Solve -5*c = -u*h - 3*c - 5, h + 2*c = 1 for h.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be ((-8)\/(-30))\/((-12)\/10). Let j = 3 + -3.5. What is the second biggest value in 5, o, j?\nAnswer: o","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 6\/(-10) - 1554\/(-1890)\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - 5) + (-1 - 0) + 263 + -248.\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 61281 and 41473?\nAnswer: 619","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a - 1 = 37. Suppose -4*h - 26 + a = 0. Let t(u) = -u**3 + 3*u**2 + 3. Calculate t(h).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 7897?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 2305776 a multiple of 24?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 50032.\nAnswer: 2, 53, 59","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -176, -222, -278, -344, -420?\nAnswer: -506","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 31 divide (-736)\/(-24) - 2\/(-6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -8, -4, 5, 398, -3\/5, -5 in increasing order.\nAnswer: -8, -5, -4, -3\/5, 5, 398","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 - 3. Let j be (0 - -1)\/((-2)\/(-6)). Suppose -12 = j*v - 6*v. Which is the nearest to t?  (a) -3  (b) 0.4  (c) v\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.8729465s in minutes?\nAnswer: 0.031215775","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 40 + 13. What is the remainder when m is divided by (-3)\/(20 + -2) + (-2635)\/(-510)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = -m**3 - 2*m**2 + 3*m + 5. Let f be y(-4). Let h = f + 53. Suppose -b = 2*b - h. List the prime factors of b.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence nw when two letters picked without replacement from {g: 2, w: 2, h: 1, m: 2, i: 7, n: 1}?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2711955541?\nAnswer: 11393, 238037","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1394110?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c(s) = 3*s**2. Let z(b) = 36*b**2 - 16. Let p(g) = -7*g**2 + 3. Let n(y) = -16*p(y) - 3*z(y). What is n(c(x))?\nAnswer: 36*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 2015603643?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5 + (-90 - (-6 - 34 - -13)).\nAnswer: -58","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2476340513?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 1460807791 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 59\/9?  (a) -5\/2  (b) -4  (c) 5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 3\/(-6)*2 + 2. Let l(o) = 4*o + 51. Let t(q) = 4*q + 61. Let u(a) = 6*l(a) - 5*t(a). What is u(s)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 401 - 24468\/61. Which is bigger: 1 or v?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -101*k + 100*k = 1. Let i be 81 + (0 + -4)\/k. What is the greatest common factor of 34 and i?\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-19 - (4 - -2)) + 17.\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -28 + 36. Let r be (-23)\/4 + (-2)\/o. Is (-311 + r\/2)\/(-2) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(k) = 4*k - 6 + 12*k + k. Let s(t) be the first derivative of -35*t**2\/2 + 11*t - 64. Let m(n) = 11*i(n) + 6*s(n). Let u(p) = -2*p. What is u(m(j))?\nAnswer: 46*j","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 15.42 - 95.32. Let y = d + 78.846. Round y to 1 dp.\nAnswer: -1.1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-50 - 73 + 75)*(0*k + 0*k + 2*k)*(-2 - 5 + 1).\nAnswer: 576*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -0.1 in -83, 4, 0.05?\nAnswer: 0.05","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let p(d) = -4557*d - 620. Let v(u) = 20. Let h(t) = p(t) + 13*v(t). What is the first derivative of h(k) wrt k?\nAnswer: -4557","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(w) = w**3 - 13*w**2 - 13*w + 20. What is the remainder when h(14) is divided by 9?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 5356, 10869, 16382, 21895, 27408, 32921?\n\"Answer: 5513*x - 157","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*j + 57 = -3*p, -3*j + 2*p + 111 - 28 = 0. Let k be ((-6)\/(-4))\/(j\/36). Solve k*b + 4 = -4 for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = -2*y**2 - 71*y - 1305. Calculate z(-33).\nAnswer: -1140","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 2\/((64\/(-48))\/1)?\nAnswer: -3\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -80410802 divided by -1018?\nAnswer: 78989","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -28*n - 35 = -23*n, -3*n = a + 19 for a.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 183 divide 3975849216?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(j) = j**2 - 5*j - 3. Let a be c(6). Suppose n + a*n = 48. Let g = 40 - 6. Calculate the remainder when g is divided by n.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -10?  (a) -5  (b) 2\/3  (c) 51  (d) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (-8 + 35 + 21)*(2*h - 2*h - h**3) as v*h**2 + t*h + c*h**3 + f and give c.\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 6\/((-30)\/(-25)) - (-2 - -5). Let v(x) be the first derivative of -4*x**2 + 4*x - 1\/4*x**4 - b + 5\/3*x**3. Determine a so that v(a) = 0.\nAnswer: 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -177059 + -75641. Round m to the nearest 10000.\nAnswer: -250000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0234 to 3 decimal places.\nAnswer: 0.023","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 122876481?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*v - 1587 + 1585 = -2*y, -5*y + v + 5 = 0. Which is the nearest to 0?  (a) 520  (b) y  (c) 3\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is one fifth of a meter in millimeters?\nAnswer: 200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -17 + 15. Let f be (-1)\/((-3)\/(-870)*o). Suppose 4*a + l = -0*a + f, 5*a + l - 180 = 0. What are the prime factors of a?\nAnswer: 5, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*q = 52*q + 5329. Is q a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is -84 + 6?\nAnswer: -7a","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let c(h) = -3*h**2. Let t(v) = 308*v**2 + 79 + 50 - 129. Give c(t(r)).\nAnswer: -284592*r**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2 + (0 + 8\/(-20))*5. Suppose 5*v + s + 10 = 0. What is the tens digit of (-15*(-6)\/(-54))\/(v\/18)?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 times -11920\nAnswer: -35760","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-8)\/(-6) - ((-934)\/(-3) + -5). Let h = n - -825. Is h a multiple of 65?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 1\/4?  (a) 2  (b) -2\/287  (c) 2\/9  (d) -2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 26\/7 + -883\/70. Find the common denominator of 83\/6 and q.\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 342879727 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_test"},"subset":"dm_maths"}
{"text":"Question: Suppose j + 0 = -2*d + 9, -j = 5*d - 18. Suppose 3*l = j*s - 21306, l + 9 - 10 = 0. Suppose s + 2889 = 8*c. Is c prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 520561 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v(y) = 4*y**4 - 4*y**2 - 1. Let a = 6 + -9. Let k(j) = 4*j**4 - 3*j**2 - 1. Let b(z) = a*v(z) + 4*k(z). What is the derivative of b(d) wrt d?\nAnswer: 16*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (3 + (-552)\/(-252) + -5)*(-6)\/(-4)?\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -135706*a**2*c**2 + a**2*c - 6*a**2 - 2*a*c - 9*a - 3*c wrt c?\nAnswer: -271412*a**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.982643 weeks in seconds?\nAnswer: 594302.4864","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*q + 1496 = -11*q. Suppose -55 - 645 = 2*m. Let o = q - m. Is o a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(52) + sqrt(312)\/(sqrt(24)\/sqrt(4) + sqrt(6)))**2.\nAnswer: 117","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2)\/(9*(-2)\/8*4)?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*r + 87 = 30. Suppose 3*h + 4 = r. Solve -9 = 2*k - h*k for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -0.1 - -1555529644.\nAnswer: 1555529643.9","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.11 - -0.175. Let u = 11.215 - 11.15103. Let d = u - s. Round d to four dps.\nAnswer: -0.001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*o - 16 = -o + 2*h, o = -2*h - 11 for o.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 68659537 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -2 + 26734?\nAnswer: 26732","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 71*u - 27*u - 75416 = 0. Is u a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 27135269 is divided by 30.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) 0.04  (b) -0.07  (c) -3  (d) -4\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4948 is divided by 28?\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 22 = -23*z + 47*z - 26. Suppose -4*k + k - 39 = 0. Put -2, k, z in decreasing order.\nAnswer: z, -2, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 446921?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let r be ((-5)\/2 - 1)*964. Let b be -11 - -11 - r\/2. Let i = b - -226. Is i a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1771?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51004854?\nAnswer: 2, 3, 19, 293, 509","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 910*g**2*o**4 + 4*g**2*o**2 - 47*g*o**2 wrt o?\nAnswer: 21840*g**2*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 15*i - 70*i - 34*i = 1958 for i.\nAnswer: -22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 + 3 + 1 - -3?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 234*s = 24*s - 107*s - 1268. What is the third biggest value in 19, s, 5, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from tekfpxf. What is prob of sequence ffp?\nAnswer: 1\/105","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s**(-8)\/s)\/s*((s**(-9)*s)\/s)\/s*(s**(-6)*s)\/((s**(-1\/2)*s*s)\/s))**(-26) assuming s is positive.\nAnswer: s**663","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Divide -255855 by -2.\nAnswer: 255855\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 238*w = 37*w + 6030. Calculate the remainder when 536 is divided by w.\nAnswer: 26","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there in 1\/10 of a day?\nAnswer: 144","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -480 + 1908 = 51*z. Suppose 63 + z = 7*w. Solve 2*x = -2*x + 2*u + 6, u = -2*x + w for x.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-800)\/(-540))\/((-2)\/10 - 1456\/3120).\nAnswer: -20\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -341*u + 3*u**2 + 341*u - 2997.\nAnswer: 3*u**2 - 2997","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(f) = -f**3 + 9*f**2 - 7*f - 6. Let i be w(8). Suppose -2123 = 29*d + 2227. Let q be 12\/10*d\/45. What is the second biggest value in 1\/3, -2\/9, q, i?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(1*sqrt(204) + sqrt(204)))\/(sqrt(96)\/(sqrt(8) + sqrt(8)*-1 + sqrt(8))).\nAnswer: 6*sqrt(17)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 = 4*z + 2*j - 150, 0 = 3*j + 15. Suppose 5*v = x + 53, -4*v + 42 = -0*v - x. Calculate the highest common divisor of z and v.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(76) + 0)*-3 - sqrt(76)) + sqrt(76) + (-5 + sqrt(76) + -1 + sqrt(76) + sqrt(76))**2)*6.\nAnswer: -468*sqrt(19) + 4320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 5830 and 220.\nAnswer: 110","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -133 - -261. Let v(z) = -d*z + 73*z + 65*z + 4 + z**2. What is v(-9)?\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = o**3 + 9*o**2 + 4*o + 7. Let f be m(-9). Let a = -28 - f. Let k(v) = 7*v**3. What is the remainder when k(a) is divided by 4?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 98 divide 114758?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z\/z**(-5\/2)*z**(-2\/57))**(13\/5)\/(((z**(-2\/45)*z)\/z*z)\/z**(-3\/5))**(-9) assuming z is positive.\nAnswer: z**(2623\/114)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 4, 3\/7, -21?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (4 + 14)\/(-1 + 0). Calculate the common denominator of 4\/x + (-1328)\/504 and -40\/7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 3965 - 3965.04. Let z = -8 + 8. Let f be 1 + (-9)\/(-12) + -2. Put f, z, 4, x in increasing order.\nAnswer: f, x, z, 4","meta":{"dup_signals":{},"source":"comparison__sort_composed_test"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 69074627.\nAnswer: 41, 269, 6263","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = -a**2 - 17*a - 25. Let f be l(-16). Let b(m) = m + 6. Give b(f).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 955354.4mg?\nAnswer: 955354400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let c(u) = -u**3 - 4*u**2 - 4*u - 1. Let l(h) = -h**3 + h**2 + h. Let q(x) = c(x) + l(x). Let v(a) = a**2 + a. Give q(i) + 3*v(i).\nAnswer: -2*i**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 57\/722 + 32086\/99940.\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/2 of a century in decades?\nAnswer: 35","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 162 + -219. Are n and -56 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 4\/1233 and 109\/2466.\nAnswer: 2466","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -23, -62, -105, -152, -203, -258, -317?\n\"Answer: -2*n**2 - 33*n + 12","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*b - 10 = b - 5*k, 2 = 5*b + k. Let u be (2\/3 + -2)*-3. Let a be b\/(u + (-3)\/3). What is the nearest to 2 in a, -3, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(r) = r. Let p(l) = -6*l - 2. Suppose 0 = 59*d - 61*d - 238. Let s = -121 - d. Determine s*z(y) - p(y).\nAnswer: 4*y + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*r - 15*r - 10 = -4*d, 0 = -4*d - 4*r. Solve d*c = -3*t + 6, -c + 5*t - 295 = -313 for c.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in 0, 0.6, 17, 5?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 210 - 10?\nAnswer: 200","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 67482, 67467, 67428, 67353, 67230, 67047?\nAnswer: 66792","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(h) = h**3 + 6*h**2 - 7*h - 5. List the prime factors of k(-6).\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1010100111011010 (base 2) to base 14\nAnswer: 11bbc","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 1 + 10*n**5 + 22*n - 1 - 33*n wrt n?\nAnswer: 200*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many hours are there in twenty-one quarters of a week?\nAnswer: 882","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Factor w**3\/9 - 292*w**2\/9 + 26788*w\/9 - 87616.\nAnswer: (w - 144)*(w - 74)**2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 4 - 4)*(-4528*c + 2 + 3*c**3 + 3371*c**2 - 3371*c**2 + 1299*c).\nAnswer: 3*c**3 - 3229*c + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 5858, 8342, 12498, 18338, 25874, 35118, 46082?\n\"Answer: 2*f**3 + 824*f**2 - 2*f + 5034","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*o + 2 = v, -5*o - 3 = -13. Solve -4*p = -p - v for p.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3626?\nAnswer: 2, 7, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1148 + -7019\/6. Which is greater: -23 or z?\nAnswer: z","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*w - 50 = -4*p, 51 = 186286*w - 186292*w + 3*p for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 178801, 357597, 536391, 715183, 893973, 1072761?\nAnswer: 1251547","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/((-2)\/9)*(-10)\/75.\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let j(k) = 5*k**2 - 3*k - 4. Let c be j(7). Suppose -2*x + 0*x + c = 0. Suppose -3*v + 3*t = -108, 5*v - x = 2*v + t. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 3177 and 90236331.\nAnswer: 3177","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose j = -0*n + 5*n + 122, 6 = 3*j. What is the smallest common multiple of 2\/1 + 8 + 2 and (-6)\/n - (-94)\/8?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 45 divided by 45.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11*l - 1444 = -4777. Let s = -303 + l. Solve x + 1 + 3 = s for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be (44\/(-6))\/((-4)\/6). Let v(a) = 71*a + 504. Let u be v(-7). Does t = u?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*w - 2*p + 750 = 0, -268 - 98 = -2*w - 4*p. List the prime factors of w.\nAnswer: 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (0 - -1)\/(2\/6). Let l = -2 + 23. Suppose l + 3 = n*y. What is the lowest common multiple of 16 and y?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(x) = -x - 1. Let m be s(-7). What is the third derivative of -3*q**m - 4*q**6 - q**2 + 15*q**2 + 4*q**6 wrt q?\nAnswer: -360*q**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(f) = -2*f**3 + 107*f**2 - 155*f - 52. Let m be r(52). Let m + 2\/11*z**2 - 4\/11*z + 2\/11*z**3 = 0. What is z?\nAnswer: -2, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(z) be the second derivative of z + 0 - z**3 + z**2 + 1\/12*z**4. Determine u(4).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-105)\/(-45) + 6\/(-2). Let g = -6 - -6. Let l be 2 + 50\/(-8) - -3. Which is the nearest to g?  (a) r  (b) -1\/8  (c) l\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-13)\/104 - 52\/96. Let y = 0.6 + -1.5. Put h, y, -1 in descending order.\nAnswer: h, y, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 97 minutes after 12:22 PM?\nAnswer: 1:59 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 14890 and 1489?\nAnswer: 14890","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 23261?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*h = 4*h. Let c = -0.9 - -0.6. Let f = 4.8 - 5.8. What is the nearest to h in 2\/11, c, f?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 36 + -1708?\nAnswer: -1662","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 17064444.\nAnswer: 2, 3, 523, 2719","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Convert -60252006 (base 7) to base 4.\nAnswer: -103001222301","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Convert 92461.6 hours to milliseconds.\nAnswer: 332861760000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 8*d - 4*u + 32 + 30 = 58, 4*d + 0*d + 4*u - 52 = 0 for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 6188790 is divided by 36?\nAnswer: 30","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence qqaq when four letters picked without replacement from {a: 7, q: 12}?\nAnswer: 385\/3876","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 92759729.\nAnswer: 19, 43, 113537","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x(u) = 2*u**3 - 5*u**2 + 3*u - 2. Let o(t) = -t**2. What is 5*o(d) - x(d)?\nAnswer: -2*d**3 - 3*d + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is -3217714 - 0?\nAnswer: -3217714","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(y) = 482*y + 928. Is q(17) a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 17011 + 3a0?\nAnswer: 173b1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 9246.\nAnswer: 2, 3, 23, 67","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let n(g) = -3*g - 11. Calculate n(0).\nAnswer: -11","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 5\/50 - (-464)\/160.\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 378  (b) 5  (c) -2  (d) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Sort -596\/5, -2, -33 in increasing order.\nAnswer: -596\/5, -33, -2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 q, 1 o, and 1 u when four letters picked without replacement from {v: 1, o: 2, u: 1, q: 5}?\nAnswer: 10\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 12675?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y(s) = 14*s + 124. Determine y(-13).\nAnswer: -58","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, 1947, 41, 3 in decreasing order.\nAnswer: 1947, 41, 3, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve y - p = 4, -y + 4*y + 4*p = -16 for y.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z be 75\/10 + (-1)\/2. Solve -2*r - 16 = 2*f, 0 = 3*f + z*r - 2*r + 30 for f.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 5 - 2. Suppose -4*t = -9*t + 30. Let h be (t\/(-15))\/((-9)\/(-5)). What is the third smallest value in k, h, 0.1?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((3*sqrt(162))\/sqrt(9) - (sqrt(18) + sqrt(1152)*-2 - sqrt(18)))\/((sqrt(126)\/(sqrt(6)\/sqrt(3)))\/(sqrt(70)\/sqrt(160))))**2.\nAnswer: 361\/8","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(n) = -9*n**2 + 14*n - 6. Let j(v) = 3*v**2 - 5*v + 2. Determine -4*d(u) - 11*j(u).\nAnswer: 3*u**2 - u + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 o when three letters picked without replacement from jlojlollalyoyjaal.\nAnswer: 1\/680","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -15.363192138 + -0.636808302. Let j = -29 - -13. Let x = j - q. What is x rounded to six decimal places?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-86 - (-23 - 51)) + -1 + 23.\nAnswer: 10","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 2 - 0. Factor -1\/2 + i**3 - 3\/2*i + 1\/2*i**5 + 3\/2*i**4 - i**o.\nAnswer: (i - 1)*(i + 1)**4\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1757 times -415\nAnswer: 729155","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*u**5\/3 + 175*u**4\/3 + 250*u**3\/3 - 28750*u**2\/3 - 203125*u\/3 - 390625\/3 = 0.\nAnswer: -5, 25","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 2.800115 + -1.80011596. Let s = -1 + r. Round s to 7 decimal places.\nAnswer: -0.000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 5045?\nAnswer: 5, 1009","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -11397 = -4090*x + 4003*x. What is the remainder when 1189 is divided by x?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.0889 - -0.1289. Which is the closest to -9?  (a) 0  (b) m  (c) -4\/9\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 10627.298889 + -10579.2988. Let i = 109 - 61. Let b = u - i. What is b rounded to 5 dps?\nAnswer: 0.00009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 168345?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of 77, 65, 43, 5, -55, -143, -265, -427?\n\"Answer: -f**3 + f**2 - 8*f + 85","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -42151*r = -44480*r + 172346 for r.\nAnswer: 74","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -31570 = -42*l - 32284 for l.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 15189558?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(132) + (sqrt(132)*1 + sqrt(132))*6)\/sqrt(12) + 4.\nAnswer: 4 + 13*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let z(w) = w**3 - 5*w**2 - 41*w + 388. Let a be z(7). Put a, -5, 1, -4, 3 in increasing order.\nAnswer: -5, -4, 1, 3, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 662 minutes after 10:49 PM?\nAnswer: 9:51 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -77\/19296 and -85\/144360612.\nAnswer: 1154884896","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -3*l + 368. Let h be o(26). What is the highest common factor of h and 87?\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -3*t + 2*t**2 - 1 + 2*t - t**2 + (-t + 0*t + 3*t)*(3*t - 5*t + 4*t).\nAnswer: 5*t**2 - t - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -n**2 - 112*n - 2696. Determine t(-77).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(p) = 2*p**2 - 21*p + 8. Let w(f) = 3*f**2 - 31*f + 12. Let z(m) = 7*a(m) - 5*w(m). Calculate z(8).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 410 minutes after 9:50 AM?\nAnswer: 4:40 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 820 and 40.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 430205204?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u(o) = 3*o**2 + 28*o + 13. Let k be u(-9). Suppose -k*y + 584 = -3*h - 4704, 3*y = h + 3961. Is y prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*q - 5*y + 15 = 0, -74 - 69 = -q - 2*y - 136 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Factor -96*t**3\/5 + 1538*t**2\/5 - 32*t\/5.\nAnswer: -2*t*(t - 16)*(48*t - 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -179 - 6?\nAnswer: -184","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h(y) be the first derivative of y**7\/21 + y**3\/2 - 5*y + 4. Let t(k) be the first derivative of h(k). Find the second derivative of t(m) wrt m.\nAnswer: 40*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(y) = 4*y + 5. Let g(c) = 22*c + c**3 + 3*c**2 - 23*c - c**2. Let i be g(-2). Let z(t) = -9 + 5 - i - 5*t. Determine -7*l(m) - 6*z(m).\nAnswer: 2*m + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-2*3*sqrt(228))\/sqrt(12) - (2 + sqrt(1539))*-1.\nAnswer: 2 + 3*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -60*(-66)\/495 - 34.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3180652?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1180521.\nAnswer: 3, 23, 1901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -4 + 821917796?\nAnswer: 821917792","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0\/(-3 + (-3 - -4)). Let k be 1\/3*g\/(-1). Factor 3*w**4 - 3*w**2 + 3*w**5 + 3*w + k*w**3 - 6*w**3 + w**2 + 3 - 4*w**2.\nAnswer: 3*(w - 1)**2*(w + 1)**3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 3341, 13207, 29659, 52697, 82321?\n\"Answer: 3293*u**2 - 13*u + 61","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 355 minutes after 4:50 PM?\nAnswer: 10:45 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -97 + 97. Let g = -2.7 + -0.3. What is the second biggest value in k, -4, g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 63 and 133.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-2)\/69)\/((-142)\/426).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Express (7*v - 5*v + 5*v)*(-1 + 1 - 2*v) + 24 - 11 - 7 - 6 - 124*v**2 in the form j*v**2 + d + g*v and give j.\nAnswer: -138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (0 + (5*(2*sqrt(1053) + -4) - -1*(3*sqrt(1053) + -2))**2)*2.\nAnswer: -10296*sqrt(13) + 356882","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (280\/525)\/((-44)\/330).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -7\/3  (b) 1.9  (c) 0.2  (d) 0.88\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (94 - 92)*75\/6 + -11. What is the greatest common divisor of 13643 and w?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4, -16, 483, -2, -13, -5 in ascending order.\nAnswer: -16, -13, -5, -2, 4, 483","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2*p**2*r*x**2 + 4*p**2*x**2 + 56*p**2 + 2*p*r*x**2 + 3*p*r + 3*p*x + 178*r wrt p.\nAnswer: -4*r*x**2 + 8*x**2 + 112","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 2301, 1855, 1115, 87, -1223?\n\"Answer: y**3 - 153*y**2 + 6*y + 2447","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -329786 rounded to the nearest 1000?\nAnswer: -330000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -8 - 9\/(9\/(-13))\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -227 - -230. What is the first derivative of -1 + 8 - 5*f**z - 11*f**3 wrt f?\nAnswer: -48*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(r) = 59*r**2 + 6*r - 6. Let d(z) = -z**3 + 11*z**2 - 19*z - 53. Let g be d(10). Let t(b) = -1417*b**2 - 143*b + 143. Determine g*k(f) - 6*t(f).\nAnswer: 65*f**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -21.3 - -21. Which is the nearest to m?  (a) 1  (b) -4  (c) 0\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 11*n - 62*n = 255 for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s(m) = m**2 + 3. Let n(j) = -3*j + 5. Let r be n(5). Let k(p) = -p**2 - 10*p. Let g be k(r). What is the units digit of s(g)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -0.4 + 0.4. Sort 13, 0.3, j.\nAnswer: j, 0.3, 13","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -10098 and 2713980.\nAnswer: 2703882","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 3, a: 13}. What is prob of picking 2 a?\nAnswer: 13\/20","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 34941 and 114?\nAnswer: 57","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is -1c88 - 3?\nAnswer: -1c8b","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Product of -5 and 1754.\nAnswer: -8770","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -938\/65 + 185\/13. What is the fourth smallest value in 0, -4\/5, x, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 30*w - 32*w = 0. Solve 0 = -2*a - w - 2 for a.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is seventy-seven halves of a centimeter in millimeters?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is -80 > -80?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Divide 7690060 by -2.\nAnswer: -3845030","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -z + 5*g + 133 = -0*z, -399 = -3*z + 2*g. Let w = z + -130. What is the least common multiple of 68 and w?\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -43\/544 and -71\/30641072?\nAnswer: 61282144","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 13728 and 9141.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3879850 + 3899090 = 481*l for l.\nAnswer: 40","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Factor 3*v**2 + 521409*v - 4171464.\nAnswer: 3*(v - 8)*(v + 173811)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8)\/30*40\/(-48).\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v + 107 + 28 = 0. Let j = -40 + v. Calculate the least common multiple of j and 3.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 48939 - 7?\nAnswer: 48932","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8 - (-1 + 2)) + 60\/(-12)?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 133\/18 and 8\/10981257?\nAnswer: 65887542","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let n be (-48)\/(-20) + (-9)\/(-15). Suppose i + 77 = n*l, -l + 2*l + 5*i = 31. Does 6 divide l?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (q + 95*q**2 + 102*q - 107*q)*(0*q - q + 2*q).\nAnswer: 95*q**3 - 4*q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*h + 58 = -2*h - 5*a, 4*h + 44 = -3*a for h.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 543901249.\nAnswer: 47, 127, 91121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20 + (-132 + 9 + 17 - 2).\nAnswer: -88","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 57\/226 and 31\/1017?\nAnswer: 2034","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 2155572 and 1944.\nAnswer: 324","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ijj when three letters picked without replacement from jijjji.\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*sqrt(1300))**2*6*-2*-3.\nAnswer: 421200","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -1  (b) 5  (c) 0.2  (d) -2014  (e) 2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-3)\/36 - ((-14)\/(-6))\/(-7).\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*j + 254 = -3*u, -2*u - 256 = 5*j - 0*u. Let c = 44 - j. Let n = c + -83. Solve 4*f - 5 = -n for f.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (o - 2*o + 0*o)*(-4*o + o - 5*o) + 2*o**2 + o**2 - 4*o**2 in the form p*o + y + v*o**2 and give y.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = k - 3*h, h + h + 4 = 4*k. Solve t = 3*r - 1, 4*r + 2 = -r - k*t for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -49\/2949462 and -19\/1638590?\nAnswer: 14747310","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Sort -14, 0.117, 3, 8, -4, 73\/9.\nAnswer: -14, -4, 0.117, 3, 8, 73\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 4737110 a multiple of 74?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 778399 is divided by 5732.\nAnswer: 4579","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -4*y**4 + y**2 + 0*y**3 + 0*y**3 - 11*y**2 wrt y?\nAnswer: -96*y","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*p - q - 638, 3*p + 28*q + 640 = 29*q. Let t be 1\/2*1*(-157 - p). Solve d - 30 = -t for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 5768947119 to the nearest integer?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Express 1 - 1 - 53*p**2 + 50*p**2 as t*p + h + k*p**2 and give k.\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Factor 5\/4*a**4 + 360*a**2 - 715\/2*a + 475\/4 - 245\/2*a**3.\nAnswer: 5*(a - 95)*(a - 1)**3\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (54\/(-530))\/((-27)\/(-180)). Suppose 5*b - 2*x = -2, -b - 2*b = x + 10. Which is smaller: r or b?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) be the second derivative of -4*g**2 + 8*g - 1\/2*g**3 + 0. What is the derivative of i(m) wrt m?\nAnswer: -3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -549.9 + 581. Let p = -29 + c. Let x = -2.099676 + p. What is x rounded to 5 dps?\nAnswer: 0.00032","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = -6 + 16 - 10 + w**2. Let l(v) = -13*v. Let b(x) = x. Let f(y) = 4*b(y) + l(y). Calculate g(f(i)).\nAnswer: 81*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1776.\nAnswer: 2, 3, 37","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 1190, 4828, 10918, 19460, 30454, 43900, 59798?\n\"Answer: 1226*k**2 - 40*k + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.323859 decades in centuries?\nAnswer: 0.2323859","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let v(d) = -d**3 - 35*d**2 - 32*d + 79. Let a be v(-34). Solve 3 = -a*f - 30 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*x + 33 - 25 = 0 for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -115063 + 62163. What is d rounded to the nearest 10000?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(d) = d**2 + 6. Let g(p) = -p**2 - 5. Let b(j) = 6*g(j) + 5*t(j). Let s(w) = 2*w**2. Determine b(s(h)).\nAnswer: -4*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -28 + 10 = -b. What is the smallest common multiple of 20\/(-1)*(-60)\/(-300)*(-11)\/2 and b?\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of 12.847 and 5.73.\nAnswer: 73.61331","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 9, u: 1, z: 6, j: 2, k: 1}. Give prob of picking 2 i.\nAnswer: 4\/19","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is (-2)\/(-4)*3\/6?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 2\/(-12) - 4299\/(-54). Let r = 79 - y. Let z = -2 - -1.9. Put r, -3, z in decreasing order.\nAnswer: z, r, -3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -235 + 328. What is the remainder when u is divided by 7?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: 16053 divided by -5351\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Does 144 divide 1080919712?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 4\/34 + 65667\/901. Suppose -9*j + l + 2411 = 0. Calculate the remainder when j is divided by 14.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of -88707, -88902, -89225, -89676, -90255, -90962?\n\"Answer: -64*a**2 - 3*a - 88640","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.10161 + 25403.\nAnswer: 25404.10161","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -2347 + 1829. Is l <= -507?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Product of -0.4 and -0.943894.\nAnswer: 0.3775576","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -130*c + 415*c = -298*c - 43725 for c.\nAnswer: -75","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 8.81 - 9. Let o = i - -25.19. Let q = o + -24.99999816. Round q to 6 decimal places.\nAnswer: 0.000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (-2 - -11) + (2 - -1). Find the third derivative of 12*i**2 - 4*i**4 - i**2 + r*i**4 + 5*i**4 wrt i.\nAnswer: 312*i","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -63*g - 32*g = -30*g + 37*g - 3876 for g.\nAnswer: 38","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is 27771094 to the power of 1\/3, to the nearest integer?\nAnswer: 303","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -3 + 0 + 5 - 0. Let b(h) = 7 - h - 3 + m. Let t(d) = -9*d - 54. Let r be t(-6). Give b(r).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 711715657301+-6.7\nAnswer: 711715657294.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 418?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -14712 > -176557\/12?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -5 - 1. Let m = -5.7 - i. Is m less than or equal to -4?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = 21*a**2 - 12*a + 162. Let p(j) = -13*j**2 + 8*j - 108. Let r(t) = 5*g(t) + 8*p(t). Let n be r(-10). Solve -6*v = -0*v + n for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 3*r - 3*r - r - 19*r**3 + 56*r**3 as z*r**3 + l + x*r**2 + y*r and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 19 - 17. Calculate the remainder when 6 is divided by l*-2*10\/(-20).\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(117) + sqrt(117) + -2 + sqrt(117) + -1)**2 + 0 + sqrt(117) + 0 - 5*(sqrt(117)*1*6 + sqrt(117) + -3 + 0 + sqrt(117))**2) + -2.\nAnswer: -36425 + 669*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 20 + 1 + (-12 - 6 - (-12 - 18))?\nAnswer: 33","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 103 minutes before 8:54 PM?\nAnswer: 7:11 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (36*24\/(-528))\/(1\/(-11))?\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00005073847736 to 5 decimal places.\nAnswer: -0.00005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is -130a55 (base 11) in base 5?\nAnswer: -23044434","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3427, 6864, 10297, 13720, 17127, 20512, 23869, 27192?\nAnswer: 30475","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -771 + 1537\/2. Which is the biggest value?  (a) -2\/3  (b) 0.1  (c) d\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -785793 rounded to the nearest 10000?\nAnswer: -790000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3*o**4 - 2*o**4 + o**4 + (-4*o - 1 + 1)*(4*o - 11*o**3 - 4*o - 2*o) + o**2 + 2*o**4 - o**2.\nAnswer: 48*o**4 + 8*o**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 217*z + 5771 = -956. Suppose -20 = 2*o + 42. Is o < z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9 - 1 = 4*c. Let o = c - -10. Let n be (-19 + o)*(-2 + 20\/14). Solve -n*d + 3*d = -4*r - 20, -10 = 4*d + 2*r for d.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -17*m = -13*m + 56. Let d = -8 - m. Calculate the remainder when 14 is divided by d.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 44870434?\nAnswer: 2, 7, 1613, 1987","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x**(-5)*x)\/(x\/x**0))\/(x*(x*x*x**(-1))\/x*x)**(-15) assuming x is positive.\nAnswer: x**25","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.000021482 rounded to 6 decimal places?\nAnswer: 0.000021","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2602754?\nAnswer: 2, 7, 11, 16901","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let c(n) = n**3 - 34*n**2 - 14555*n + 521387. Give c(36).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9\/341 or -2\/5?\nAnswer: -2\/5","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand -2*q**3 - 4*q + 4*q + (0 + 1 + 0)*(-2*q**3 + q**3 + 3*q**3) + 0*q**2 + q**3 + 0*q**2 + 2*q**2 - 2*q**2 + 3*q**3.\nAnswer: 4*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 11*g - 1. Let r be o(3). Suppose 42*t = 227 + 781. Suppose -62*h = -68*h + t. Calculate the greatest common factor of h and r.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve n = 2*w + 2, 105 = 9*w + 5*w + 119 for n.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*p = 2*d - 27, -86*p - 9 = -89*p + d for p.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) 1  (b) 619  (c) -0.2  (d) -3\/7  (e) 4  (f) -1\/3  (g) -2\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 3\/1 + (105 + -106 - (-4)\/(-1)). What is the second biggest value in 25, 0.1, -1\/13, y?\nAnswer: 0.1","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence ulu when three letters picked without replacement from umqgluuuuuuuqw.\nAnswer: 1\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 21.84652 weeks?\nAnswer: 13212775296000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of 12, 29, 52, 81, 116, 157, 204?\n\"Answer: 3*r**2 + 8*r + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of 20480, 40959, 61438?\n\"Answer: 20479*z + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(x) be the second derivative of 15*x + 0*x**4 + 0*x**2 - 1\/75*x**6 + 0*x**3 + 1\/25*x**5 + 0. Suppose v(g) = 0. Calculate g.\nAnswer: 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(v) = v**2 - 2*v + v - 29 + 23. Let n be l(4). Find the third derivative of 206*m**n - 210*m**6 - 4*m**2 - 2 + 2 wrt m.\nAnswer: -480*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/28165 and 71\/1720.\nAnswer: 225320","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 181663831 to the nearest integer?\nAnswer: 13478","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 16*p + 363 = 19*p. Suppose 3*n + p = 5*q, -q - 4*n + 20 = -6*n. Calculate the lowest common multiple of 182 and q.\nAnswer: 182","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 3*b*q*w + 111*b*q + 259*q*w - q - 12*w wrt w?\nAnswer: 3*b*q + 259*q - 12","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((2*sqrt(320) + (sqrt(60) - sqrt(120)\/sqrt(2))\/sqrt(3))\/((2*sqrt(2450) + sqrt(2450))\/sqrt(5)))**2.\nAnswer: 128\/441","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(-39)\/(f**19*f))\/(f**(-31)*f\/f**(-11\/5)) assuming f is positive.\nAnswer: f**(-156\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-42)\/(-189))\/(((-580)\/(-36))\/5).\nAnswer: 2\/29","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0, 55, 0.1, -1\/4?\nAnswer: 55","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 11\/(-11)*((-819)\/651)\/13?\nAnswer: 3\/31","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -49.4 in 2, -1\/3, 44\/7?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(160)\/sqrt(4)*1)\/(sqrt(24)\/sqrt(48)))**2 - (sqrt(4455)*3)\/(-3*sqrt(396)).\nAnswer: 3*sqrt(5)\/2 + 80","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(u) = 4*u**3 + 7*u**2 + 7*u. Let b be 1\/(((-24)\/(-9))\/8). Let p(s) = 3*s**3 + 6*s**2 + 6*s. Let q(h) = b*p(h) - 2*v(h). Factor q(i).\nAnswer: i*(i + 2)**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/((-36)\/22))\/(74\/(-666))?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 1\/(-4) + (-500)\/(-80). What is the highest common divisor of u and 6?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 3700*-57.\nAnswer: -210900","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 1\/30 and 127\/290.\nAnswer: 870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*s + 5*n = 11, -s + 2*n - 1 = 4*s. Calculate the smallest common multiple of s and 439.\nAnswer: 439","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of -l**2*s**3 - l**2*s**2 + 2*l**2*s - l**2 - 52*l*s**4 - 442*l*s**2 - 4*l + 7578*s**4 - 262*s**2 wrt s?\nAnswer: -6*l**2 - 1248*l*s + 181872*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is -132 (base 4) in base 10?\nAnswer: -30","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 25 a factor of (-899)\/(-2)*(-6 - (6 + -14))?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the dth term of -5699, -46267, -156373, -370787, -724279, -1251619, -1987577?\n\"Answer: -5795*d**3 + d**2 - 6*d + 101","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(1\/8*4*140\/2450)?\nAnswer: -35","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -12 divided by 49\nAnswer: -12\/49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 3\/50 of a litre in millilitres?\nAnswer: 60","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 10*d*r**4 + 23*d*r**3 - 323*d wrt r?\nAnswer: 40*d*r**3 + 69*d*r**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -q**3 + 10*q**2 - 10*q + 11. Let l be o(9). Suppose a = -2*w + 11, -w = w - l. Suppose -8*v = -a*v + 293. Is v a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 8.2 + -0.2. Let s = 7.999966 - v. What is s rounded to five dps?\nAnswer: -0.00003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is t in 3*t**4\/7 - 3*t**2\/7 = 0?\nAnswer: -1, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-30)\/8*((-1817)\/920 - (-9)\/24). Solve -3*f = 2*r + l, 2*r - 2*f = -4*f - 4 for r.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -193, -1, 5.\nAnswer: -193, -1, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) = 2*i**3 - 35*i**2 - 30*i + 215. Give k(18).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aa when two letters picked without replacement from yawpadydadd.\nAnswer: 3\/55","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 2 + (4 + 0 - 6). Suppose 4*a = -3*o + 3, s = -6*a + 2*a - 12. Solve -o*z = k + 10, z - 3*z = 5*k + 27 for k.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -99, -728, -2427, -5730, -11171?\nAnswer: -19284","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 252 + 8427*x - 2806*x - 2803*x - 2788*x to d*x + i and give d.\nAnswer: 30","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 17814?\nAnswer: 2, 3, 2969","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**2 + 0*q**2 + 0*q**2 + 2*q. Let l be j(3). Suppose -4*k = k - l. What are the prime factors of k?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (2 - 6\/(-7))\/(15\/20055) is divided by 26.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000187644757 to 4 decimal places.\nAnswer: -0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-1 - 2)*28\/(-21). Suppose -4*a + 3 + 1 = 0, 0 = -h*q + 3*a + 25. Let l = 15 - q. Calculate the highest common factor of l and 8.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 139289?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*l - 255 = -3*n + 2*l + 5*l, 5*l = n - 95 for n.\nAnswer: 80","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/25 of a litre in millilitres?\nAnswer: 240","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 2 - 11*t + 29 + 18*t - 31*t + 21*t.\nAnswer: -3*t + 31","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0 - 1 - -1832 - -2. Let f = -941 + g. Suppose f = 2*k + 2*k. Is k composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: (85\/306)\/((3740\/(-51))\/22)\nAnswer: -1\/12","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 851788389 to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -36963 divided by 3.\nAnswer: -12321","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(5) - sqrt(45))*-6)**2*6 + 0)*3.\nAnswer: 12960","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = 13 + 17 - 10 + 1 - 2*s. Let r be 10\/(-15)*5*-3. Let v be q(r). Solve v + 5 = -2*l for l.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(g) = -g**3 + 14*g**2 + 33*g + 4. Determine y(-2).\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -31 + 86. Is 55 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -125*u = -124*u + 2*f + 6, 2*u + f = -17*u + 34 for u.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 268722938?\nAnswer: 2, 11, 23, 41, 12953","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the second biggest value in -4\/5, 0.1, -2.1?\nAnswer: -4\/5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -14 + 8. Let a be 358 + 26\/w + (-16)\/(-12). Let k = 330 + a. Is k a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 225099 is divided by 2906?\nAnswer: 1337","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose z - 6*z - 3945 = -4*i, -4*i = -3*z - 2359. Let t be (122\/z)\/((-1)\/13). Which is bigger: -23 or t?\nAnswer: t","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -153*j**4 + 2*j**2 - 9*j**3 + 8*j**3 + 3*j - 40*j**4 + 525*j**4 + 265*j**4 to the form g + v*j + d*j**2 + z*j**4 + h*j**3 and give h.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Convert -122516 (base 7) to base 14.\nAnswer: -830d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is -123 - 2754?\nAnswer: -2877","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1130?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -315, -589, -837, -1059, -1255, -1425, -1569?\nAnswer: -1687","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3*n**2 + 250*n - 95*n - 36*n + 72*n + 4*n.\nAnswer: -3*n**2 + 195*n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 77\/1455 and -29\/613710?\nAnswer: 59529870","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from llee. Give prob of picking 2 l and 1 e.\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let -2*d**2\/9 + 4814*d\/9 + 4820\/3 = 0. What is d?\nAnswer: -3, 2410","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 463 minutes before 2:22 PM?\nAnswer: 6:39 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: ((2\/16)\/(5\/(-6)))\/((-35)\/((-12950)\/(-666)))\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let -4*d**5\/3 - 3440*d**4\/3 - 622628*d**3\/3 + 49693304*d**2\/3 - 372351056*d + 2671180512 = 0. What is d?\nAnswer: -462, 19, 26","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5*y - y + y)*((0 - 6 + 4)*(3 + 3 - 5)*(-2 - 4 + 3)*(7 + 19 + 4) + 3 + 0 - 2)*(3 + 2*y**2 - 3) to g*y**2 + p*y**3 + t + a*y and give p.\nAnswer: -1810","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Simplify b**(-2\/5)*b**(-12)*b assuming b is positive.\nAnswer: b**(-57\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from wuwwllwwuwulwwwwwww. What is prob of sequence lw?\nAnswer: 13\/114","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -g - g = -2804. Let r = g - 3244. Let j = r - -7417\/4. Find the common denominator of -5\/2 and j.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence rr when two letters picked without replacement from {r: 10}?\nAnswer: 1","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(m) = 2*m**2 - 16*m - 18. Let u be y(9). What is the nearest to u in -20, -0.3, -0.4?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 6*v - 2*t - 10 = 0, 5*v - t - 43 = -38 for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Does 280 divide 105840?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -9 + -6. Let y be u\/36 - 2\/(-8). What is the closest to 5 in y, -1, -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -146680 rounded to the nearest 100000?\nAnswer: -100000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 51556740?\nAnswer: 2, 3, 5, 859279","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 33509*j**3*m**3 + 3*j**2*m**3 - 17*j**2*m**2 - 51*j**2 wrt j?\nAnswer: 201054*m**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = 3*i**2 + 16*i + 5. Let j be h(-5). Let n(y) = y**3 + 7*y**2 - y + 2. Let c be n(-6). Suppose j = 2*w - 0*w - c. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 5*(-10)\/54 - -1. Suppose -4*u + 2*o = 68, 22 = 4*u - 4*o + 82. Let s = u - -20. Is v less than or equal to s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 3271 - -15306.2455.\nAnswer: 18577.2455","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 2*m**4*u*v - m**2*u**3 + 262*m**2 + 1487*u**3*v - u*v wrt m.\nAnswer: 8*m**3*u*v - 2*m*u**3 + 524*m","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 2.2 + -2. Let r = -0.09 - -1.29. Let y = r - z. Sort -0.5, -2\/7, y in ascending order.\nAnswer: -0.5, -2\/7, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/(-20))\/((-30)\/60*8\/(-10)).\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4316?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: -980392 divided by -20008\nAnswer: 49","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 637\/294*(-6)\/4?\nAnswer: -13\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 542974?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 21 + -18. Let o(n) be the first derivative of -n**3\/3 + 3*n - 1. What is o(z)?\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (1 + (sqrt(3) - (-3 + (-1*sqrt(3) - sqrt(3)) + sqrt(3)) - (sqrt(432)*-1 - sqrt(3))))**2*3.\nAnswer: 360*sqrt(3) + 2073","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 11\/2 of a litre?\nAnswer: 5500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Does 74 divide 3562865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 883295, 1766596, 2649897, 3533198, 4416499?\nAnswer: 5299800","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -357 + 359. Solve -t = 5*j - 3*j for j.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 4*w + 29. Let b be c(-6). Solve -5*k + 5 = 2*q, 5*k + 2 = b*q + 7 for k.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 119 - 77. Let j = 42 - x. Let p be (3 - (1 + 1)) + 2\/2. Solve j = -p*z + 2 for z.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 4712 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let d(z) = 4*z**2 - 573*z - 6132. Give d(-10).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is c in -c**4\/2 - 264*c**3 + 2200*c**2 + 30144*c + 68608 = 0?\nAnswer: -536, -4, 16","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((x*((x*x\/(x*x\/(x**(2\/3)\/x)))\/x)\/x)\/(x*x*x\/((x\/(x*x**(3\/8)))\/x*x*x*x)))**(2\/83) assuming x is positive.\nAnswer: x**(-65\/996)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 5*t - 29 - 56 = 0, 5*v - 116 = 3*t. Solve 21*d - 17 = v for d.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = g**3 - 3*g - 1. Let w be r(2). Let f be 2 + 8 + (1 - w). Suppose 5*v - 2*h - 288 = 0, -2*v - 5*h = -102 + f. List the prime factors of v.\nAnswer: 2, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1416209 is divided by 472066?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let i(r) = 3173*r - 8. Let v be i(5). Let x = v - 7557. What is x rounded to the nearest 1000?\nAnswer: 8000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -7.31 - -2041?\nAnswer: 2033.69","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((((z\/(z\/(z*z\/z**(-4)*z)))\/z)\/z**(-2\/15))\/(z**0\/z**6))**5)**19 assuming z is positive.\nAnswer: z**(3458\/3)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let s be 5 + 0\/(2 + 2). Suppose 0 = -g - s*l + 3*l + 46, -l = -4*g + 211. Is 26 a factor of g?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(g) = -g**3 - 14*g**2 + 15*g - 3. Let n be 34\/(-119) + (-103)\/7. Let x be r(n). Which is greater: x or -0.1?\nAnswer: -0.1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (2*x + 3*x - 6*x)*(509 - 426 + 537) + (-5 - 1 + 3)*(-6*x + 3*x + 4*x) - 2*x + 3*x + 0*x as l + j*x and give l.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 53*m - 360 = 38*m. What is the greatest common factor of 1272 and m?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) = -2*w**3 - 3*w - 3. Let u be v(-3). Let c = -44 + u. Suppose n = -4*o + 33, -2*o + 5*n + 14 = 3. What is the highest common divisor of c and o?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fzfzffzzzzzzzzzzfz. Give prob of picking 1 f and 1 z.\nAnswer: 65\/153","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {a: 1, h: 1, i: 2, o: 1, w: 3, j: 3}. What is prob of sequence ioha?\nAnswer: 1\/3960","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let i(g) = -76*g**3 + 2*g**2 + 3*g. What are the prime factors of i(-2)?\nAnswer: 2, 5, 61","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*h + 25*z = 20*z + 26, -5*h + 4*z + 31 = 0. Let x(u) = -u**3 + 8*u**2 - 8*u + 15. What is x(h)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (0*w + 0*w - 2*w)*(25 + 1 + 1)*(6 - 1 - 2) as r + v*w and give v.\nAnswer: -162","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = -4567*z**2 + 4435*z + 3. What is q(1)?\nAnswer: -129","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 54, 23, -10, -45, -82, -121?\n\"Answer: -t**2 - 28*t + 83","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1653212187?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Convert 311707 (base 9) to base 13.\nAnswer: 66298","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Express d + 0*d + d**4 + 3*d**2 + 7*d**3 - 4*d**2 in the form f*d**3 + y*d**4 + s + k*d**2 + r*d and give y.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 35712.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express 1120*g - 1362*g - 1691*g - g**2 - 381*g - 1378*g in the form j + c*g**2 + z*g and give c.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 23913496.\nAnswer: 2, 41, 72907","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 1454 divided by 32\nAnswer: 727\/16","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 205, 1365, 3301, 6013, 9501, 13765, 18805?\nAnswer: 24621","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 17 and 459.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -18, -135, -460, -1101, -2166, -3763, -6000, -8985?\nAnswer: -12826","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -20, -54, -114, -200, -312, -450, -614?\nAnswer: -804","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0066758 rounded to 5 dps?\nAnswer: -0.00668","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 9\/(-6)*(-4)\/6*2?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*g**3 + 8*g**2 + 4*g - 8.\nAnswer: -4*(g - 2)*(g - 1)*(g + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -270 - -1165. Let z = 1493 - c. Calculate the remainder when z is divided by 50.\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify u*u*u**(-4)\/u*u\/(u*u\/u**(-2\/21))*(u*u\/(u\/(u\/(u*u\/((u**(-1\/3)\/u*u)\/u)))))**(-39)*((u**(-2\/7)*u)\/u**(-1))\/(u**(-2\/3)\/(u*u**6\/u)) assuming u is positive.\nAnswer: u**(394\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 70 and 735?\nAnswer: 1470","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let o(j) = -15*j**2 + 131*j + 371. What is o(11)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (3\/3 + -1)\/2. Suppose 4*b - 4*j - 88 = a, -11*b = -15*b + j + 85. What is the greatest common factor of 6 and b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 5307 to the power of 1\/2, to the nearest integer?\nAnswer: 73","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: (-6)\/(-2)*306\/189*-7\nAnswer: -34","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -131946, -263895, -395844, -527793, -659742, -791691?\nAnswer: -923640","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of (7 + -5)\/(172\/42 + -4) and 91?\nAnswer: 273","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9\/(9\/(-2)))\/(2\/24).\nAnswer: -24","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: -4.7*0.3\nAnswer: -1.41","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*u - 52 = -7*u. Suppose 0 = -q + 5*q - u. Is 4 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 + 13 + 19 + -32 + -23?\nAnswer: -25","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 38689*t - 38687*t + 30 for t.\nAnswer: -15","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = 815*y + 4904. What is a(-6)?\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 30 = a + 32 for a.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -75708 + 42364 = -1392*d + 19034 + 64550 for d.\nAnswer: 84","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -70407955\/376 + 187255. Is 0 at most as big as d?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.14*-5.42\nAnswer: 0.7588","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 16\/(-1)*5\/(-4). Let y = 133 - h. Let g be (y + -1)*(-4 - -5). Calculate the greatest common factor of 16 and g.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -8 + -204. Let s = 216 + p. Which is the nearest to s?  (a) 0.4  (b) -2  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 3 - 3 + 2*m**3 + (-3*m + 5*m - m)*(-2*m**2 + 2*m**2 - m**2) - 3*m**2 + 3*m**2 + m**3 + 0*m**3 + 0*m**3 + 5*m**3.\nAnswer: 7*m**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let t(p) = p + 3. Let s(c) = 2*c + 7. Calculate -2*s(q) + 5*t(q).\nAnswer: q + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*i - 6*i + 2*z = -510, 5*i + 2*z - 1247 = 0. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3933 divided by -3341.\nAnswer: 3933\/3341","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence lnj when three letters picked without replacement from lljljjjjllljljllnn?\nAnswer: 7\/272","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 71 a factor of 9585?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 1.4 - -1.6. Let j = 33 - x. Let d = j - 35. Which is the smallest value?  (a) d  (b) 1\/4  (c) -0.06\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 20 = -3*x, x + p - 6 = -x. Suppose -c + 3 = -4*f - 2*c, -5*f + 3*c - 8 = 0. Sort f, x, -4.\nAnswer: -4, f, x","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (-1112)\/18 - (-3 + (-29)\/(-9)). Round j to the nearest 10.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in -6, -4, 21, 3, 0.87, -0.3?\nAnswer: 21","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is ((-3)\/33*3)\/(27\/(-18))?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -770\/23 in -18, -1, -3\/8?\nAnswer: -18","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express (1289*l + 404*l + 1003*l + 227*l + 2599*l)*(-l**2 + 3*l**2 + 0*l**2) as h + x*l + b*l**3 + s*l**2 and give b.\nAnswer: 11044","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t + 2*p + 1726 + 121 = 0, -3034 = -5*t - 3*p. Sort 2, -0.4, t in decreasing order.\nAnswer: t, 2, -0.4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is -11 + -202020?\nAnswer: -202101","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Put 218, -1, 4, -5 in decreasing order.\nAnswer: 218, 4, -1, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is 52386840 divided by 396870?\nAnswer: 132","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify p*p\/(p*p*p**(-4\/33))*p*p*(p*p\/p**(-14\/3))\/p*(p**(10\/3))**(2\/37) assuming p is positive.\nAnswer: p**(3243\/407)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 96?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 420 - 415. Solve -o*r + 2 + 8 = 0 for r.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 2708656?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Round 173.2320763 to 1 dp.\nAnswer: 173.2","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 226225963.84148244 - 226225405.99. Let v = u + -647.851479. Let q = 90 + v. Round q to seven dps.\nAnswer: 0.0000034","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(a) = -a**2 - 4 + 15 - 10 + 0*a**2 - 4*a**3. Let u(y) be the second derivative of y**4\/6 - y**3\/3 + y**2\/2 + 2*y. Let j be u(1). What is b(j)?\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (x**(2\/5)\/(x**2\/x))\/(x\/(x\/(x**0\/x)))**35*(((x**(2\/25)*x)\/x)\/((x\/(x**(1\/12)*x))\/x))**(-20) assuming x is positive.\nAnswer: x**(167\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(20)\/(sqrt(16)\/sqrt(4)) + -1)**2 - (1*sqrt(320) + -1).\nAnswer: -10*sqrt(5) + 7","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from uueueeheeuheheee. Give prob of sequence ehu.\nAnswer: 9\/280","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -76*l + 79*l = 618. Is l a multiple of 26?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(b) = -b**3 + 20*b**2 + 45*b. Let t = 393 - 371. What is the tens digit of f(t)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*r - 5 = 5*j, 9*j + r + 3 = 10*j for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -5.975 and 27700?\nAnswer: -165507.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -66097, -135344, -204591, -273838, -343085, -412332?\nAnswer: -481579","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of (-88)\/(-220) + (-1 - (-2828)\/5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 4 by 9948.\nAnswer: 1\/2487","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -4 + 6. Let g = -1.8 - -0.1. Let c = z + g. Put 2, c, -0.2 in descending order.\nAnswer: 2, c, -0.2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 1204.031 + -1204. Sort 0.2, 2, j.\nAnswer: j, 0.2, 2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 25*g + 165 = 30*g. Let n = 20 + -14. Calculate the remainder when g is divided by n.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*z**3 - 5*z**2 + 0*z**2 - 1 - 3*z**3 + 3*z**2 as t + i*z**2 + a*z + r*z**3 and give i.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence fq when two letters picked without replacement from fqfqfff.\nAnswer: 5\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -8 - -8.3. Suppose 4*z - 4 = 16. Suppose -k = 4*k - z. Sort -1\/4, k, c in decreasing order.\nAnswer: k, c, -1\/4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*d = -7*p + 4*p + 51, 4*p - 71 = d. Solve -9*a - p = -3*a for a.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h = -12*f - 3 - 5, -f + 65*h - 69*h + 81 = 0 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 2\/3 in 34\/19, 14, 2?\nAnswer: 34\/19","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 706 - 1715361?\nAnswer: -1714554","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 1712?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence aya when three letters picked without replacement from {y: 2, a: 5}.\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let b(f) = f + 19. Let i be (-5 - 54\/(-8)) + (-4 - 34\/(-8)). What is b(i)?\nAnswer: 21","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (9984 - 10015) + (-1 - -78).\nAnswer: 46","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: (1\/((-18)\/156) - -8)\/(2\/(-4))\nAnswer: 4\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 478 and 33188018.\nAnswer: 478","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let l(r) = -48*r - 13. Let a be l(1). Let b = a - -63. Solve -2\/9*t**3 - 4\/9*t + 0 + 2\/3*t**b = 0 for t.\nAnswer: 0, 1, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 433 - 5733 = 530*y for y.\nAnswer: -10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: -2 + (-1)\/(36\/(-80))\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d(u) = -5*u + 1. Let c(a) = 298*a - 149. Let t(o) = c(o) - 6*d(o). Is t(21) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*b + 4 + 6. Let o(z) = z**2 - z + 1. Let q be o(2). Which is greater: b or q?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -222007463*x**3 + 131874994*x**2 wrt x.\nAnswer: -1332044778","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the oth term of -7971, -4187, -395, 3411, 7237, 11089, 14973?\n\"Answer: o**3 - 2*o**2 + 3783*o - 11753","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 0.843263 millilitres?\nAnswer: 0.000843263","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u + 3 = 1. Find the third derivative of 3*m**3 + m**3 + 0*m**3 + 9*m**2 - 4*m**u wrt m.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -487, -1844, -4131, -7342, -11471, -16512, -22459, -29306?\n\"Answer: u**3 - 471*u**2 + 49*u - 66","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) = -z**3 - 23*z**2 + 35*z - 17. Let v be s(-25). Suppose 363*h - v*h - 1015 = 0. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be 0\/3 + (-399)\/(-3). Round g to the nearest 10.\nAnswer: 130","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4163*z = -4140*z + 851 for z.\nAnswer: -37","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand -1962*m**3 + 987*m**3 + 1 + 1005*m**3 + (m**2 + 0*m**2 - 2*m**2)*(0*m + 5*m - 4*m) - 21*m**2 + 21*m**2 - 5*m**3.\nAnswer: 24*m**3 + 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((f**0)**(2\/115))**(-28) assuming f is positive.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-4*k + 0*k + 2*k)*(-3*k**2 + 0*k**2 + 5*k**2)*(105 + 13 - 9).\nAnswer: -436*k**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Round 218166490 to the nearest 100000.\nAnswer: 218200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = -u**3 + 9*u**2 + u + 6. Let r be q(9). Suppose -n - 13 = g, 7*n - 2*n - 15 = 3*g. Let y = g + r. Which is smaller: y or 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is -116 + 3?\nAnswer: -113","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 37*y - 38*y + 6 = 1. Solve -4*d - 4*z + 20 = 0, 7*d - 5*z + 18 = y*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-5 + 2 + 4)*(-1 + 1 - 1)*(139*k + 10 + 43 - 54) to v + w*k and give v.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 13555691.\nAnswer: 271, 50021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:12 PM and 10:40 PM?\nAnswer: 628","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19*m = 14*m + 15. Let b = 0.35 - -0.05. Let p be 1 - ((-33)\/(-12) + -2). What is the nearest to 1 in b, p, m?\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*z - 12*z = 14. Let h be (-2)\/z - 1\/(-7). Let i be h + (-10)\/(-7 - -2). Solve -6*j - 20 = -i*j for j.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 38 + (-12 - (24 - -43)).\nAnswer: -41","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*f + w + 0 = 3, -6 = -3*f - w. Let n be -13 + (-3)\/(-1) + 2. Let o = n + f. Is -1 < o?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1678.303 rounded to the nearest one hundred?\nAnswer: 1700","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: 8+-20070902\nAnswer: -20070894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let u be -6 - ((-402)\/51 + (-8)\/68). Solve -u*b + c = -6, 6 = b + c - 0 for b.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 87885 to the power of 1\/6, to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) -0.2  (b) -7\/2  (c) 2\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 25138 is divided by 58?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-11)\/(-88)*6)\/((-61)\/610)*(-16)\/(-2).\nAnswer: -60","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 1445118 is divided by 13?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 1\/142  (b) -2\/11  (c) -2\/37  (d) 0  (e) -0.1  (f) 0.06\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-1)\/((-5)\/(-30)))\/2.\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is -34493842.36 rounded to the nearest one million?\nAnswer: -34000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*b - 25 = -10*b for b.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, -14, 9, -2, 60, -5 in descending order.\nAnswer: 60, 9, 5, -2, -5, -14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 16 and 136.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0?  (a) -296  (b) 1\/3  (c) -6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -8 + -5 + 11 - (-4 + 21) - -5.\nAnswer: -14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 6 + (2 - (9 + 1)).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 3542 + -4?\nAnswer: 3534","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -32 + (-41 - -72) - (-31 - -1)?\nAnswer: 29","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 16.9 + -11.9. Let g = -0.2 - 0.2. Which is the second smallest value?  (a) 0  (b) d  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {o: 4, t: 4, l: 9}. Give prob of sequence tl.\nAnswer: 9\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 153347041?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (32\/4)\/(-2) - -8. Calculate the greatest common factor of b and 40.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 0.1  (b) 0.5  (c) -430134  (d) -0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_test"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 15\/33395516 and 157\/30.\nAnswer: 500932740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let d be (-57)\/(-12) + (-1)\/(-4). Suppose 3*g - 53 = -g + 5*v, 5*g - d*v - 60 = 0. Suppose -g*w + 3*w + 24 = 0. Solve 3*z - w*z = 0 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 5, -116805 in increasing order.\nAnswer: -116805, -2, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(d) = 6*d + 4. Let o(g) = 6*g + 39. Let v be o(-7). Give w(v).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-1)\/(-3) - (17 - 10)\/7.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 11107\/36 - 2836\/9. Let u = -2572\/19 + 110399\/798. Calculate the common denominator of u and n.\nAnswer: 84","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r(y) be the second derivative of 0 + 5\/12*y**4 + 0*y**2 - 14*y + 0*y**3. Let a(l) be the third derivative of -l**5\/60 + 2*l**2. Give r(a(x)).\nAnswer: 5*x**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let d(r) = -150*r**2 + 13. Let k(s) = -151*s**2 + 10. Give 3*d(c) - 4*k(c).\nAnswer: 154*c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 7 and 630.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -18.447 - -15.447. Let p = 55\/21 - 9\/7. Let s = 4.04 - 4. What is the closest to q in s, -1, p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the th term of -202, -203, -204, -205, -206, -207?\n\"Answer: -b - 201","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let a(s) = -s**3 + 7*s**2 + 8*s + 2. Let d be a(8). Suppose d*n - 930 = -3*n. List the prime factors of n.\nAnswer: 2, 3, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 2.04 + -1.84. What is the third smallest value in -1\/10, v, -3, 1?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -684 divided by -114?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let c(w) = 52*w**4 - 6*w**3 - w - 5. Let m(g) = -g**4 - g**3 - 1. Let x(o) = -c(o) + 6*m(o). Find the second derivative of x(u) wrt u.\nAnswer: -696*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = -j**2 - 9*j - 3. Let m be z(-8). Suppose 2*y - m*y = -15. Let u be (y - 6)\/((-1)\/19). Calculate the highest common divisor of u and 171.\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(c) = 3*c. Let n(k) = -36*k**2 + 7 + 15*k**2 + 7*k**2 + 15*k**2. Determine n(u(z)).\nAnswer: 9*z**2 + 7","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose m - 5*j = -16, 4*m + 4 = -j + 6*j. Suppose -5*b = -5*x, -2*x = -m*b - 0 + 8. Let t(n) = -2*n + 3. Calculate t(x).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*d = -3*h + 24857, -5*h - 14*d + 41471 = -11*d. Is h a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4023018 and 3286?\nAnswer: 106","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 1227141*d - 613798*d - 613343*d + 2*d**3.\nAnswer: 2*d**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*v - 1728 = -4*w, 1975 = 4*w + v + 232. Suppose -w + 62 = -5*k. Suppose 4*m - k = 3*f, -5*f + 121 = 5*m + 36. What are the prime factors of m?\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 4230b6 (base 13) to base 10.\nAnswer: 1549034","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + sqrt(15)\/sqrt(3) + -1 + sqrt(5)*1.\nAnswer: -3 + 2*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*h - 143 + 395. What is the units digit of h?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth smallest value in 1\/7, -0.5, 4\/7, 11\/2, -186, 4?\nAnswer: 4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: 11031631 times -3\nAnswer: -33094893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Does 33 divide 27192?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 0.363556 or 0.1?\nAnswer: 0.363556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9776 = -z + 2*y - 9773, 4*z - 9 = z - 30*y + 4*y for z.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth root of 422093007 to the nearest integer?\nAnswer: 143","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g\/g**(1\/11))**(-2\/141)*(g**(-6\/7)\/g)\/g**7 assuming g is positive.\nAnswer: g**(-96302\/10857)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -4, 53 in increasing order.\nAnswer: -5, -4, 53","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1840 and 138.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 1, b: 6, f: 6, s: 6}. What is prob of picking 1 r and 1 s?\nAnswer: 2\/57","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -226*o - 106*o + 335*o. Let q(p) = 2462*p**2. What is m(q(j))?\nAnswer: 7386*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) = -h + 2. Suppose c - 7 + 2 = -5*x, -x - 5 = -c. Let s be p(x). Calculate the common denominator of (-375)\/(-40) + 1\/s and 99\/14.\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (f**(1\/21)\/(f\/f**(-35)))**(-36) assuming f is positive.\nAnswer: f**(9060\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*u = 5*u. Let h = 2 + u. Determine z, given that -3*z**3 - 6*z**h + 3*z + 3*z**4 - 3*z = 0.\nAnswer: -1, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, -1, -0.24, -2\/9 in descending order.\nAnswer: 0.1, -2\/9, -0.24, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Does 29 divide 2233?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -6870 + 6893. Put -4, v, 108 in descending order.\nAnswer: 108, v, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: 31089 divided by -122\nAnswer: -31089\/122","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose x - i + 25 = 0, x - 3*i = -0*x - 31. Let d = 26 + x. Let m(a) = -11*a**2 + d*a**2 + 3*a**2 + 5*a**2. Let k(g) = -7*g. What is k(m(z))?\nAnswer: -7*z**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in 0.7314601nm?\nAnswer: 0.0000000007314601","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -18 - -11 - (-5 + 1).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4046 and 42?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(k) be the second derivative of -1\/84*k**4 - k + 1\/42*k**3 + 8 + 3\/7*k**2. Factor a(r).\nAnswer: -(r - 3)*(r + 2)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*t - k + 5*k + 608 = 0, 502 = 4*t + 2*k. What is the tens digit of t?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 15231 - -262.\nAnswer: 15493","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) -3  (b) -0.1  (c) 260  (d) 2\/13\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -566979030 less than 43548?\nAnswer: 567022578","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 539 minutes before 1:41 AM?\nAnswer: 4:42 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let p(x) be the third derivative of x**5\/15 - 1726*x**2. Let y(h) be the second derivative of -h**4\/3 + h. Calculate p(y(t)).\nAnswer: 64*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let g(c) = -c**2 - 18*c - 19. What is the units digit of g(-5)?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -2096*f**2 - 2*f + 1085 wrt f.\nAnswer: -4192","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let y(z) = z**3 - z**2 - z + 2. Let i(j) = j**2 + 3*j - 12. Let x be i(-5). What is y(x)?\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many nanograms are there in thirteen eighths of a microgram?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -4.919069 - -4.92. Round d to 4 dps.\nAnswer: 0.0009","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 517 minutes before 3:55 PM?\nAnswer: 7:18 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 537557431 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let 7*g**5\/3 - 346*g**4\/3 - 11279*g**3 - 488744*g**2\/3 - 455260*g\/3 = 0. Calculate g.\nAnswer: -34, -130\/7, -1, 0, 103","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Does 4 divide 389?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 8293 - 3767. Does 5 divide p?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 87871 to the nearest one hundred.\nAnswer: 87900","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Convert -2bb (base 12) to base 6.\nAnswer: -1555","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -34793 - -1530823\/44. Find the common denominator of -23\/220 and y.\nAnswer: 220","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 14670 and 652?\nAnswer: 29340","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 589\/1209 - (-2)\/(-13)?\nAnswer: 1\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2739*r + 46 - 2898*r + 44 - 30.\nAnswer: -5637*r + 60","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 160475030 and 3090.\nAnswer: 1030","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 206438 and 466.\nAnswer: 466","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-u + 3 - 3)*(-2*u + u + 6*u)*(1 + 1 + 0) + u + u**2 - u.\nAnswer: -9*u**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = q**2 + 14*q + 38. Give j(-6).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 168316458 to the power of 1\/9, to the nearest integer?\nAnswer: 8","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = -5*a + 3 + 7*a**3 + 0*a**3 + 3 + 4*a**2. Let l(y) = 6*y**3 + 3*y**2 - 4*y + 5. Determine 4*i(v) - 5*l(v).\nAnswer: -2*v**3 + v**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let i(c) = c - 1. Let w(u) = 23*u**2 - u. Calculate -3*i(r) - 3*w(r).\nAnswer: -69*r**2 + 3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Total of -1208.44 and -4.\nAnswer: -1212.44","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -13, 4, -0.1, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the lowest common multiple of 374 and 2739.\nAnswer: 93126","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 608?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(264)\/sqrt(6)*-1 + sqrt(440)\/sqrt(160))\/((sqrt(28)\/(sqrt(14)\/sqrt(2)) + sqrt(64)*1)*-2).\nAnswer: 3*sqrt(11)\/40","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let j(l) be the second derivative of l**6\/120 + l**5\/20 - 7*l**4\/24 + 5*l**2\/2 + 3*l. Let b(a) be the first derivative of j(a). Does 4 divide b(-4)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 4919\/7 - 703. Sort b, -6, -4\/5, -0.3 in descending order.\nAnswer: b, -0.3, -4\/5, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*t = -m - 4*m + 173, -4*t - 244 = -4*m. Let r be (-18)\/4*(3 - t\/(-18)). Solve 5*d - r*p - 1 = -19, d + 4 = p for d.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -67441, -3, -24 in decreasing order.\nAnswer: -3, -24, -67441","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1641.\nAnswer: 3, 547","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -20368, -20362, -20350, -20332, -20308, -20278, -20242?\n\"Answer: 3*w**2 - 3*w - 20368","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -66*p - 8088 + 5184 = 0 for p.\nAnswer: -44","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -314*c**2 - 7*c + 11.\nAnswer: -628","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*l = -5*d + d + 240, 3*l + 4*d = 136. Does 13 divide l?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(g) = 68*g**2. Let v(j) be the third derivative of -5*j**4\/12 + j**3\/6 - 1645*j**2. Calculate v(q(n)).\nAnswer: -680*n**2 + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 194 - 189. Solve -2*w - 3*w - i = 0 for w.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 48 divide 120?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -o - 3*a = -24, 17 + 63 = 3*o + 5*a. Suppose 2*z - 4*d = z + 6, -o = -5*z - 5*d. List the prime factors of z.\nAnswer: 2, 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (0*3\/12)\/(-1). Suppose g*z = -z + 3. Let v = 2 + -1.9. Is v bigger than z?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand b**4 - b**4 + b**4 + ((0 + 0 - 1)*(-2 + 2 + b) + 17*b - 26*b + 19*b)*(-b**3 - 2*b**3 - b**3) - b**4 - 3*b**3 + 3*b**3.\nAnswer: -36*b**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 18705 is divided by 13.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 3, 1\/29, -932?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -2\/6151 - 295226\/67661. Suppose 3*y - 3*a = 2*y + 19, 3*y - 24 = -2*a. Calculate the common denominator of d and 166\/15 - y\/25.\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 3:41 AM and 2:46 PM?\nAnswer: 665","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 25769362 or -16?\nAnswer: -16","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 46563 + -10958. What are the prime factors of g?\nAnswer: 5, 7121","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 267365168 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**7\/(j\/(((j\/((j*j*j**(-3\/2)*j)\/j))\/j)\/j*j)*j)*(j**(1\/2))**(3\/2) assuming j is positive.\nAnswer: j**(21\/4)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the derivative of 819*u**4 + 506?\nAnswer: 3276*u**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify j**22*j*j**(-2\/5)*j**7*j\/(j*j**(-9\/2)) assuming j is positive.\nAnswer: j**(341\/10)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is -4 smaller than -5\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = -7*f**3 + 41*f**2 + 23*f - 6. Let r be l(-6). What is the greatest common divisor of 72 and r?\nAnswer: 36","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 13385*z - 951*z + 11236*z - 4981*z + 449*z as g + r*z and give r.\nAnswer: 19138","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 2328464581 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Express 69*r - 57*r + 79*r**4 - 13*r + (-4*r**2 + 0*r**2 + 2*r**2)*(2 - 2 - 2*r**2) in the form q*r**4 + s*r**2 + m*r + p + b*r**3 and give m.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let o(q) = -76*q. Let k(m) = 1114*m**2 - 96. Give k(o(j)).\nAnswer: 6434464*j**2 - 96","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let j be (10\/(-3))\/(1\/(15\/2)). Let d be j\/(-5)*34\/5. What is the third derivative of o**6 - 48*o**2 + 5*o**6 + d*o**2 wrt o?\nAnswer: 720*o**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*a - 4*f - 8, -4 = -5*a + f + 26. Suppose -a = 3*p + 8. Sort p, 4, -2\/5 in descending order.\nAnswer: 4, -2\/5, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of -3, -10, -17, -24, -31, -38?\n\"Answer: -7*q + 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let u(p) = -p**3 + 9*p**2 - 7*p - 1. Suppose -2*z = -4, 0 = 2*j - 3*j + 3*z + 2. Let d be u(j). Suppose -4*k - 183 = -d*k. Is k a multiple of 21?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 66 and 87054.\nAnswer: 66","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let s(b) be the first derivative of 0*b**3 - 6 + 0*b - 4\/3*b**2 + 1\/2*b**4 - 2\/15*b**5. Factor s(c).\nAnswer: -2*c*(c - 2)**2*(c + 1)\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -2*i + 4*f - 26, -291 = 2*i - 3*f - 273 for i.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) be the second derivative of j**3\/2 - 2*j**2 - j. Let s be v(6). Calculate the remainder when (39\/1)\/(21\/s) is divided by 14.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3 + 1 - 2)*(2*d + d - d - 7*d - d + 25*d + (5 - 3 + 0)*(-4*d + 5 - 5))*(-11 + 11 + 6*d)*(-4 + 3 - 3).\nAnswer: -528*d**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -8 + 7.4. Let t = z - -1.2. Let r = t + -0.1. Which is the biggest value?  (a) -2\/3  (b) r  (c) 2\/7\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 1\/1 + (2 - -3). Let u = 7 + -7. Suppose 3*a - 5 = 2*s + 6*a, u = -2*s - a + 5. Which is bigger: d or s?\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out 142597.8 * 381.\nAnswer: 54329761.8","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -7077*m**4 - 22*m**3 + 4338*m + 7083*m**4 + 2802*m wrt m.\nAnswer: 72*m**2 - 132*m","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -192574 (base 11) in base 8?\nAnswer: -1102350","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*n**3 - 5*n**3 - n**3)*(-20 + 9 + 38) + (80*n**2 - n - 80*n**2 + 2*n**3 + 1)*(4 - 2 - 3).\nAnswer: -83*n**3 + n - 1","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Does 20 divide 215?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert -3213031131 (base 4) to base 16.\nAnswer: -e735d","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is eleven tenths of a millennium in decades?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let f(w) = -w**3 + 7*w**2 + 23*w - 5. Let l = 274 - 267. Let t be f(l). Calculate the greatest common factor of 84 and t.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -19 + 3360?\nAnswer: 3347","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0238160464 to three decimal places.\nAnswer: -0.024","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -2*x**3 - 97*x**2 + 50*x - 58. What is z(-49)?\nAnswer: -107","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from jtjrnlrlrjjvll. Give prob of picking 3 j.\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve -40 = 13*v - 23*v for v.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4 = l, 5*l = -d - 0 + 16 for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 18832 + -18831. Is u <= 123\/91?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 10, what is -739 + -2007?\nAnswer: -2746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 69369321 to the nearest integer?\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = 11218*z + 9. Let q(a) = -11*a - 1. Let o(j) = -9*q(j) - r(j). Let f(b) = 2*b**2. Calculate f(o(p)).\nAnswer: 247264322*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = -25*l + 202. Let h be o(8). Put -7, h, -10 in ascending order.\nAnswer: -10, -7, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**2 + 13*h - 5. Let k be v(10). Suppose t = 6*t - k. Suppose 0*m - 5*m - t*b + 415 = 0, 0 = 3*m - 2*b - 234. Is m a multiple of 19?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the third derivative of i**7\/10080 + i**6\/1440 - i**4\/24 + 2*i**2. Let l(w) be the second derivative of k(w). Determine p so that l(p) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 3347914268 to the nearest integer?\nAnswer: 1496","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -32 = -7*m - 4. Solve m*s = -0*s + 20 for s.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -t**2 - 678*t + 124200 = 0?\nAnswer: -828, 150","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 417454886?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (184\/120*(-66)\/88)\/(17\/(-85)).\nAnswer: 23\/4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*f = m - 61073, -11*m - 4*f + 183134 = -8*m. What are the prime factors of m?\nAnswer: 2, 3, 3391","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -57 + 102. Let y = n + 15. Is 15 a factor of y?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*l - 15 = 0, 3*j + 6 = -5*l + 3. What is the greatest common divisor of 6 and j?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify d\/(d*d\/(d*d**10\/d*d))*d\/d**(-2\/19) assuming d is positive.\nAnswer: d**(211\/19)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 75200 and 1471100?\nAnswer: 4700","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 17626?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 33608563 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the xth term of 310157, 620337, 930517, 1240697, 1550877?\n\"Answer: 310180*x - 23","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -1.7397 to two decimal places.\nAnswer: -1.74","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Are -1\/441 and 1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: -2415 divided by -951\nAnswer: 805\/317","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from vvvvvvffvf. What is prob of sequence vvvv?\nAnswer: 1\/6","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 2 o when three letters picked without replacement from {o: 6, b: 13}.\nAnswer: 65\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 1390 a factor of 70610610?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 33 - -126. Suppose 0*k = 3*k + f. Round k to the nearest 10.\nAnswer: -50","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (q**(1\/5))**(4\/11)*(q*q\/q**5)\/q**(-7) assuming q is positive.\nAnswer: q**(224\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-14)\/(80\/(-540)*(5 - 114\/12))\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(z) = -z + 9. Let h = 6 - 5. Let r be 14 - (-2 - h - -3). Let b be c(r). Do -4 and b have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -4971, -6974, -8977, -10980?\nAnswer: -12983","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1.1 - -0.378618.\nAnswer: 1.478618","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v\/(v**(18\/5)\/v)))**(-2\/37) assuming v is positive.\nAnswer: v**(-26\/185)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -4?  (a) 141  (b) -0.02  (c) 0.1  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.4835 to one decimal place.\nAnswer: -0.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3756050087?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 9*r + 1. Let m be v(1). Suppose 5*h + m - 30 = 0. What is the second derivative of w**4 - 3*w**4 + 5*w**h - 3*w + 4*w wrt w?\nAnswer: 36*w**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*z**3 + 1572*z**2 = 0 for z.\nAnswer: 0, 393","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 2 + 3*k**4 + 4*k - 4*k**4 + 3*k**4 + 14 in the form w*k**2 + i*k**4 + n*k + u*k**3 + g and give g.\nAnswer: 16","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*m - x - 41 + 33 = 3, m + 1 = 4*x for m.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Determine u so that -3*u**2 - 11379804*u - 10791661589868 = 0.\nAnswer: -1896634","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -168\/11*s**2 - 10\/11 + 50\/11*s**4 + 92\/11*s - 20*s**3 = 0.\nAnswer: -1, 1\/5, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(o) = 13*o**2 - 183*o + 459. Give b(3).\nAnswer: 27","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Is 386288 a multiple of 28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 8009349 to the power of 1\/2, to the nearest integer?\nAnswer: 2830","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) = -s**2 + 3*s - 4. Let b be k(3). Is (-3 - -9)\/(b\/(-158)) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*z + 26 = 2. Suppose z*a + 0*t - t - 51 = 0, 0 = -3*a + 3*t + 45. What is the smallest common multiple of a and 46?\nAnswer: 276","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -0.3  (b) 197  (c) 0  (d) 3  (e) 0.01\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Express -4 + 2 + 4 + 4*k**3 + (5*k**3 - 3*k**3 - 4*k**3)*(-2 + 4 - 6) in the form g*k**3 + o*k**2 + h*k + l and give h.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*f + f = -5*p + 19, 5*f = -2*p + 20. Let m be p\/6 + 1\/(-2). Let s be 2\/(-4)*0\/(-2). Is m bigger than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 0.3 in 1\/4, 5, -4?\nAnswer: 1\/4","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) = -z**2 + 2*z + 24. Let c be k(0). Let w be 34 + (-2)\/(-7) + 46\/(-14). Suppose -w + 1615 = 6*j. Calculate the greatest common factor of c and j.\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) be the first derivative of -16*i**2 - 1398. Let f(q) = 11*q. What is 11*f(p) + 4*x(p)?\nAnswer: -7*p","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -195*a - 2144 = -2*i - 199*a, -4*i + 3*a = -4211. Sort -4, -3, i.\nAnswer: -4, -3, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence jjqx when four letters picked without replacement from {x: 5, w: 4, j: 4, q: 2}?\nAnswer: 1\/273","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth smallest value in -5\/6, 0.052, 11, 5?\nAnswer: 11","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 124462?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is -27174 not equal to -27172?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -1\/15?  (a) 4  (b) 2\/15  (c) -0.4  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is twenty-six fifths of a gram in milligrams?\nAnswer: 5200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((c*c**(2\/13)*c)\/c*(c*(c\/(c*(c**(-7\/4)*c)\/c*c))\/c)\/c*c)\/(((c*c*(c*c*c\/(c*c\/(c**3\/c)))\/c*c*c)\/c)\/(((c*c**(-10)\/c*c)\/c*c)\/c)) assuming c is positive.\nAnswer: c**(-681\/52)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 5, 1696, 0 in decreasing order.\nAnswer: 1696, 5, 0","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let w(m) = 6*m**2 - 5*m + 5. Let o be w(4). Suppose 15 - 45 = -2*v + 2*z, -4*v - 3*z + o = 0. What is the least common multiple of 20 and v?\nAnswer: 180","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f be (-395)\/(-3) - (-2)\/6. Suppose -24*z + 30 = -22*z + 2*s, -48 = -5*z + 4*s. Calculate the greatest common factor of z and f.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from lecbdwllcccclldellc. What is prob of picking 1 l and 1 d?\nAnswer: 14\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 2*(0 - 2)\/2. Let f be c\/(-5) + 43\/5. Solve 5*p + 10 = 5*b, f*b - 4*b = -4*p + 37 for p.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3658932 divided by 5\nAnswer: 3658932\/5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 less than -43048?\nAnswer: -43052","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Does 36 divide 146\/(-6)*(-4)\/(28\/21)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(j) = j**3 - 25*j**2 + 15*j + 717. Calculate u(23).\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 53\/216078 and 67\/2.\nAnswer: 216078","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(720) + -1)*1 + sqrt(720) + -5 + (1 + sqrt(720) - sqrt(720)).\nAnswer: -5 + 24*sqrt(5)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 86 = -5*q + 16. Let g be (60\/q)\/((-1)\/7). Let l = -27 + g. Solve 0 = -4*s + l*s for s.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6081*n**5 + n**2 + 1431*n - 1.\nAnswer: 364860*n**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -15*a + 19560 - 9784 - 9776 - 13*a + 89*a.\nAnswer: 61*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let w(i) = 1013*i**2 - 143*i - 139. Calculate w(-1).\nAnswer: 1017","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -4*o + 229*w - 224*w = -194, 3*o - 11*w = 160 for o.\nAnswer: 46","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the second derivative of -10*q + 0 + 0*q**3 + 11\/12*q**4 + 5*q**2. Differentiate r(p) wrt p.\nAnswer: 22*p","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 20702734?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -10*d + 7*d = -5*j + 386, -3*j + d + 226 = 0. Put j, -8, 2 in decreasing order.\nAnswer: j, 2, -8","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(k) be the first derivative of 6*k**2 + 54*k + 2\/9*k**3 + 15. Find f, given that u(f) = 0.\nAnswer: -9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tenth root of 302618073 to the nearest integer?\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Work out 1 + -263233864.16777.\nAnswer: -263233863.16777","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 2*w**3 + w**2 - 2 - w + 0*w**2 + w**2 - 4*w**3. What is the units digit of y(-2)?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = f - 10. Let s be a(8). Let w be 0\/1 + 0 - s. Let u = -2 - -7. Sort w, -2, u in decreasing order.\nAnswer: u, w, -2","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 7 + -2. Let s = h + 13. What is the tens digit of s?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1247, 4970, 11175, 19862, 31031, 44682, 60815?\nAnswer: 79430","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5567*k - 11274*k + 5631*k.\nAnswer: -76*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 525 minutes before 7:58 PM?\nAnswer: 11:13 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 34, -71, -336, -833, -1634, -2811, -4436?\nAnswer: -6581","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {e: 1, f: 10, b: 1, z: 1, s: 1}. Give prob of picking 1 s and 1 f.\nAnswer: 10\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(f) = -4*f - 1. Let k be q(-4). Let j = -8 + k. Let d = 381 + -379. Calculate the remainder when j is divided by d.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-13 - -3)\/130 + 470\/26. What is the highest common divisor of 1098 and o?\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -242.2 + 242. What is the nearest to l in 3, -1, 2\/13?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 44915\/(-20) - 2\/16. Let p = d + 2243. What is the common denominator of p and -21\/32?\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0.3 in 1, -91.6, -3\/8, 5, -2\/7?\nAnswer: -2\/7","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 2298920 and 144831960?\nAnswer: 144831960","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -305 + 309. Suppose j + x - b = -2, -2*x = 3*j - 7. Let w be 6\/(-9) + 41\/3. Solve -j*s = h - w, s - h - 2 - 1 = 0 for s.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 419 minutes before 1:02 AM?\nAnswer: 6:03 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 144.2897 + 0.0103. Let g = 144 - j. What is the nearest to g in -3, 10, 0.3?\nAnswer: 0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 15 + -35 + -3 + -5 + 10?\nAnswer: -18","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (-352)\/(-132) + (-32)\/(-24). Solve -o*g + 2 = -6*g, -4*x + 4*g = 12 for x.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 22 + -19. Suppose r*p = 5*p. Solve 3*i + 4*w = p, -5*i = -2*w - w + 29 for i.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -23041, -22918, -22817, -22738?\n\"Answer: -11*m**2 + 156*m - 23186","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -56*y**3 + 2*y**3 + 12*y**3.\nAnswer: -42*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s*(s**(-1\/2)\/s)\/s)**(7\/10)\/((s*s*s\/s**4*s)\/s**(-1\/4))*(((s**(4\/3)\/s*s)\/s)\/(s\/s**1*s))**(-5) assuming s is positive.\nAnswer: s**(61\/30)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:36 AM and 4:50 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(sqrt(1573) + -2) - sqrt(1573).\nAnswer: -12 + 55*sqrt(13)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(3) - sqrt(48)\/sqrt(4) - (-2 + 1 + sqrt(3))) + 4*((sqrt(243) - (sqrt(243) + sqrt(243)*1 + 2))**2 - sqrt(243)).\nAnswer: 106*sqrt(3) + 989","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let a(d) be the third derivative of d**5\/3 - d**4\/12 + d**3\/6 - d**2. Let x be ((1 - 3)\/1)\/(38\/(-19)). List the prime factors of a(x).\nAnswer: 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d = -d + 1380. List the prime factors of d.\nAnswer: 3, 5, 23","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be (0 + 6\/(-8))\/(-3). Let h = 13 - 21\/2. Let j = -0.052 - 3.948. What is the third smallest value in p, j, h?\nAnswer: h","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*a + 548 - 152 = 0. Let n be 38\/3 - 6\/9. What is the highest common divisor of n and a?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2\/7?  (a) 1\/3  (b) -9  (c) 0.01  (d) -1260  (e) 0.05  (f) -2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 1 + -1908747?\nAnswer: -1908746","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(d) = -2*d**2. Let y(n) be the first derivative of -n**5\/30 + 2*n**3\/3 + 1. Let m(o) be the third derivative of y(o). Give m(i(v)).\nAnswer: 8*v**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 w, 1 f, and 1 h when three letters picked without replacement from fuulufuuwh?\nAnswer: 1\/60","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:27 AM and 1:00 PM?\nAnswer: 453","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 = m - 0, -m + 10 = 3*l. Suppose -24 - 36 = -l*i. What is the least common multiple of 16 and i?\nAnswer: 80","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5323 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of (-2662)\/(-5) + 3 + (-102)\/30?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 176459 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 9*4.9.\nAnswer: 44.1","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 12 a factor of 9900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -54.61 + 53.61. What is the biggest value in -0.3, 3, -5, g, -0.34?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1330 * -0.5\nAnswer: -665","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -9911 or -9918?\nAnswer: -9918","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3\/((750\/752 - 1)*-6)?\nAnswer: 2, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = -2*i**2 + 7*i + 1. Let k be y(3). Solve -5*t + 3*t = -k*o - 6, 5*o = -5*t + 30 for o.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = p**2 - p + 2. Let a be k(2). Suppose -6*s + a = -4*s. Solve 0 = -5*h - 25, -h + 5 - s = -2*g for g.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1941751 a multiple of 301?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 19504 - 11485. What are the prime factors of h?\nAnswer: 3, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many litres are there in 945149.7ml?\nAnswer: 945.1497","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1736.152 kilometers in meters?\nAnswer: 1736152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 18 + -10. Suppose -5*f + s = -2. Solve 2*v = -f*v - 4 for v.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor v**2 + 3531*v + 17630.\nAnswer: (v + 5)*(v + 3526)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {d: 8, b: 2}. What is prob of picking 1 b and 1 d?\nAnswer: 16\/45","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let m(u) = u - 5. Let n be m(7). Let r be n*(-1 + 4 + -2). Factor -3*b + b**r + 3*b.\nAnswer: b**2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-21)\/3 + -6 - -12?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 12 minutes after 4:41 PM?\nAnswer: 4:53 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Solve 3*y - 2*y = 4*h - 8, 4*y = -h + 2 for h.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*s + 2 = 4, -2*k - 4*s = 2. Solve q - k = 4 for q.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 44*i = -48*q + 51*q + 235, -4*q = -4*i + 40 for i.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Round -2208975 to the nearest ten thousand.\nAnswer: -2210000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Product of 49 and -1.\nAnswer: -49","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of -3*c**2*x**2 + c**2 + 55*c*x**2 - 279*c wrt x?\nAnswer: -6*c**2*x + 110*c*x","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 100764 and 278559.\nAnswer: 346527396","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2543.\nAnswer: 2543","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-63)\/(-4)*((-12)\/81)\/((-221)\/(-1989)).\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(b) = -b**2 + 12*b - 20. Let l be d(10). Suppose -4*n + 7 - 31 = l. Let y(p) = p + 10. Let i be y(n). Solve 5*f = -2*t + 3, i*t - f - 11 = 6 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 22 - -1 - (134 - 103) - (1 - 7).\nAnswer: -2","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 1587, 1585, 1583, 1581, 1579?\nAnswer: 1577","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -4\/13  (b) 1.1  (c) -0.05  (d) 0.3  (e) -2\/3  (f) 3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -80  (b) -3  (c) -5  (d) 0.09  (e) -4108\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Work out -15396.6736 - 123.\nAnswer: -15519.6736","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.27457mm in centimeters?\nAnswer: 0.027457","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(m) = -m**3 - 12*m**2 + 2. Let r be k(-12). Solve r*v + 4 + 14 = 4*c, -19 = 3*c + 5*v for c.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*n - 3*w = 5*n + 120, w + 62 = 2*n. What is the third derivative of 7*f**3 + 1 + 28*f**5 - 33*f + n*f - 29*f**5 + 21*f**2 wrt f?\nAnswer: -60*f**2 + 42","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-28)\/(-3) - 2\/(-3). Suppose 5*n - n = 3*b - 74, b + 3*n = 42. Calculate the highest common factor of v and b.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**2 + 17*q + 271. Calculate c(-10).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + sqrt(121)\/(1*sqrt(11))*6 + (sqrt(110) + 2*sqrt(110)*-1 - sqrt(110) - sqrt(110))\/sqrt(10) + 2.\nAnswer: 5 + 3*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3521674 is divided by 11621?\nAnswer: 511","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (8 - 15 - -11) + -2 + -1.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -1148 + 1148. Suppose -f - 23 = -4*j - 2*f, -j + 2*f + 8 = 0. Let h = j + -15. Which is the smallest value?  (a) h  (b) 0.5  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.3*-8875\nAnswer: 2662.5","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 4740 and 60.\nAnswer: 60","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -10698*n + 64186. Give v(6).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 26790751?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is (-24)\/20*(-4)\/16?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (0 - -4)*50\/40. Let n = -0.84 + 1.76. Let g = n + -0.92. What is the closest to 2 in g, 0.2, m?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5*182.8.\nAnswer: 914","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let s(q) = -9*q. Suppose 3 = 5*y - 12. Let x(b) = -b + y*b - 5*b + b. Give s(x(u)).\nAnswer: 18*u","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1671 is divided by 829.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 t when two letters picked without replacement from {t: 4, g: 7}?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -15*p + 77*p - 21*p + 2132 for p.\nAnswer: -52","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -1075*v**3 + 7*v**2 + 816*v**3 + 594*v**3 + v.\nAnswer: 335*v**3 + 7*v**2 + v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let -18*f**3\/13 + 2758*f**2\/13 - 3348*f\/13 + 608\/13 = 0. What is f?\nAnswer: 2\/9, 1, 152","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 1, -34, -19, 5, -5 in descending order.\nAnswer: 5, 1, -5, -6, -19, -34","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 4*x - k + 3, 2*k = -2*x + 7*k - 15. Let h(y) be the second derivative of -y**3\/6 - y. Let u be h(-2). Put x, 5, u in increasing order.\nAnswer: x, u, 5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 401*s + 82*s - s = -110*s - 27232 for s.\nAnswer: -46","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -84 + 556 + 3*c**2 + 388 - c**2 - c.\nAnswer: 2*c**2 - c + 860","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i(m) = -2*m + 17. Let h = -12 - -33. Let v = 14 - h. List the prime factors of i(v).\nAnswer: 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose h - 2*h + 5*x = -27, 3*x = 4*h - 23. Sort h, -3, -4 in decreasing order.\nAnswer: h, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -24 + 51. What is the tens digit of x?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.00010579842 to 6 dps.\nAnswer: 0.000106","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let q(m) = -m**3 + 13*m**2 + m - 8. Let z be q(13). Suppose 3*n = -3*j + 12, -4*j - 43 = -6*j + z*n. Is 8 a factor of 965\/j - -5*10\/(-225)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 5836317139 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Solve -58*c + 62*c = -2*g - 6, 1 = -2*c - 3*g for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11452.\nAnswer: 2, 7, 409","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-11)\/(143\/(-468)))\/3.\nAnswer: 12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of -117, -958, -3247, -7710, -15073, -26062?\n\"Answer: -121*u**3 + 2*u**2 + 2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (h**(-1\/11)*h*h\/(h*h\/h**(-1\/12)*h))\/(h\/(h**(-3\/5)*h*h))**(-21) assuming h is positive.\nAnswer: h**(-6319\/660)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 p and 2 a when three letters picked without replacement from aaaaaaaaaaaaaap?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let q(z) = 43*z**2 + 19*z - 1080. Let s(y) = 20*y**2 + 9*y - 540. Calculate 6*q(u) - 13*s(u).\nAnswer: -2*u**2 - 3*u + 540","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {l: 1, c: 2, p: 1, j: 2, b: 1, n: 1}. Give prob of sequence jjl.\nAnswer: 1\/168","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -196, -194, -192, -190, -188?\n\"Answer: 2*n - 198","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let w(r) = -r**3 + 9*r**2 + 3*r - 36. Let g be w(9). Which is bigger: -13 or g?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Multiply 991 and 1039.\nAnswer: 1029649","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2 in 10\/3, -3, 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2766 in -4\/7, 0.5, -0.4, 0.3, -1\/17, 3\/5?\nAnswer: 3\/5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -121*q - u = -122*q + 11, -2*q + 7*u = -77. Determine o, given that -18*o + 3\/2*o**3 + 6*o**2 + q = 0.\nAnswer: -6, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 9, what is 1 - 11?\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Is 547 a multiple of 22?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let f be 3\/((-18)\/(-4))*(-72)\/(-16). Solve 3*h = -4*j + 23, -j + f*h - 7 = 3*j for j.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is (37 - 31) + -30 + 38?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Work out 34522 - -3.\nAnswer: 34525","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Put together 34.4087279677 and -64.\nAnswer: -29.5912720323","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) = -n**3 - 2*n**2 - 22*n - 798. Give v(0).\nAnswer: -798","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) = -2*t. Let h be k(2). Let r be ((-52)\/(-33))\/(-1*6\/9). Let j = r + 115\/44. Put j, h, 0.03 in descending order.\nAnswer: j, 0.03, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -5906 + 6218. What is the highest common factor of 18 and v?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(o) = -5*o + 3. Let a = 6 + -4. Let t be a\/5 - (-72)\/(-30). Let r = t - -4. Give p(r).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 2167, 4 in increasing order.\nAnswer: 0, 4, 2167","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1269*p = -1266*p + 21 for p.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 112.035 + -112. Let d = 0.165 + s. Which is the closest to 2?  (a) -4  (b) 2\/13  (c) d\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*d**5 - 20*d**4 + 60*d**3 + 160*d**2 - 320*d = 0 for d.\nAnswer: -4, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in x - 724*x**2 - x.\nAnswer: -724*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0 - 1*-4*1. Let g = r + -2. Suppose 2*w = -p - 2, 2*p + 6 = 5*w - 7. Put p, g, 3 in ascending order.\nAnswer: p, g, 3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 154126715471 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 9490 is divided by 9402?\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*f - 17031 = -391. Calculate the remainder when f is divided by 420.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 169009 and 27?\nAnswer: 4563243","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {g: 2, q: 2, w: 5, v: 4}. What is prob of sequence vwq?\nAnswer: 10\/429","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*l + 4*v + 34 = -6, -v = -4*l - 35. Sort 2, 5, l in descending order.\nAnswer: 5, 2, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 95\/9, -0.3, -3\/5, -876 in increasing order.\nAnswer: -876, -3\/5, -0.3, 95\/9","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -13254 divided by -4688.\nAnswer: 6627\/2344","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t(n) = -79*n - 308. Let c be t(-7). What is the greatest common divisor of c and 539?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of h**4*o**3 + 3732*h**4*o + h**3*o + 2*h**2*o**2 - 177*h**2 - 2*o**3 + 63*o**2 wrt h?\nAnswer: 24*h*o**3 + 89568*h*o + 6*o","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12 = -4*q + 4. Let x(i) = 7*i**3 - 5*i - 7. Suppose -b + 7 - 2 = 0. Let t(o) = 3*o**3 - 2*o - 3. Determine b*t(l) + q*x(l).\nAnswer: l**3 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: -1030 (base 4) to base 8\nAnswer: -114","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = s**3 + 3*s**2 - 5*s + 2. Let k be q(-3). Solve 94 + 25 = k*n for n.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 f, 1 a, and 2 s when four letters picked without replacement from {x: 4, o: 1, a: 1, f: 4, s: 2, p: 6}?\nAnswer: 1\/765","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -46230.7 and 0.3?\nAnswer: -13869.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 7 + -5. Let h be 198*(-101)\/(-6666) - (1\/(-2))\/(2\/8). Put h, m, 1 in decreasing order.\nAnswer: h, m, 1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 2\/(2\/3) + -1. What is the third smallest value in -5, i, -3?\nAnswer: i","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together -15439702796 and -13.\nAnswer: -15439702809","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Express -3*a**4 - 7 - a + 5*a**4 + a**2 + 9 in the form n*a**3 + f + y*a + i*a**2 + c*a**4 and give y.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 276708175?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -155\/348 and (-26652)\/179568 + (1 - (-27)\/(-29)).\nAnswer: 14964","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -3  (b) 4  (c) -101.182  (d) -2  (e) 5\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -33*q**2 + 486*q - 1624*q - 41*q**2 + 1139*q.\nAnswer: -74*q**2 + q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 6  (b) 4  (c) 3  (d) 158.99\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (388 + 285 + 192 - 62 - 95)*(5*k + 2*k - 4*k).\nAnswer: 2124*k","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0675462ml in litres?\nAnswer: 0.0000675462","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(o) be the second derivative of o**4\/12 - 5*o**3\/3 + 11*o**2\/2 - 5*o. Let m be k(11). Calculate the highest common factor of 55 and m.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 3165*l*x**2 - 491*l*x - x**2 + 32*x wrt x.\nAnswer: 6330*l - 2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: 1 times -29479360\nAnswer: -29479360","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Determine x, given that 50*x**4 + 201290*x**3 - 2666292*x**2 - 2229640*x - 452368 = 0.\nAnswer: -4039, -2\/5, 14","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*o = -30*o - 42 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*p + 0*p + 0*p)*(3 + 2*p - 3) + p**2 + 2*p**2 - 5*p**2 + 8*p**2 - 25*p**2 + 2*p**2 - 2*p**2 - p**2 - p**2.\nAnswer: -25*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f - 5*d + 45 = -50, 3*f - d - 73 = 0. Does 3 divide f?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 u when two letters picked without replacement from {b: 12, u: 6}.\nAnswer: 5\/51","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is -79823 (base 12) in base 7?\nAnswer: -1242651","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = 15*u - 41. Does 24 divide z(8)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**3 + 27*i**2 - 60*i - 58. Let y be h(-29). Solve -5*d + 24 + 1 = y for d.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 + -2. What is the closest to q in -3\/5, -0.1, -2\/17?\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1\/24 of a week in hours?\nAnswer: 7","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -40 = s - 2*d + 6, -86 = 2*s - 2*d. Let u be (-10)\/s + 562\/(-8). What is the common denominator of (-343)\/u - (-3)\/(-3) and -99\/8?\nAnswer: 40","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3124?\nAnswer: 2, 11, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:17 AM and 12:13 PM?\nAnswer: 416","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 19\/8 and 31\/10076149?\nAnswer: 80609192","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Express 4*s**3 + 2*s**4 - 93 + 2*s**2 + 92 - 29*s + 32*s as d + c*s**2 + z*s**4 + k*s**3 + j*s and give z.\nAnswer: 2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: 136 (base 7) to base 6\nAnswer: 204","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -5.8 + 5. Let v = a - -0.81. Let z = v - 0.91. What is z rounded to the nearest integer?\nAnswer: -1","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert -10 (base 3) to base 4.\nAnswer: -3","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Solve 86*a = 994 + 726 for a.\nAnswer: 20","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*c = s - c + 53495, -s - 4*c - 53504 = 0. What is s rounded to the nearest ten thousand?\nAnswer: -50000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g**3 + g**2 - g + 1. Let d be t(-2). Let s be (1 + -18)\/(1*d). Let p = s - 7. What is the tens digit of p?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 456304?\nAnswer: 2, 19, 79","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 21 + -13. Calculate the smallest common multiple of x and 22.\nAnswer: 88","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/16*2 + 7\/28.\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is (-64 - -65)\/(2\/(-8))?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 76923 and 18333.\nAnswer: 189","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -11 - 3301?\nAnswer: -3312","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 862939 is divided by 7189?\nAnswer: 259","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(q) be the first derivative of -q**3\/3 + q**2\/2 + 49*q + 3. Is r(0) a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 94068 and 1053.\nAnswer: 282204","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (2 + -2*sqrt(567) + sqrt(567) + 0)**2 + -4.\nAnswer: -36*sqrt(7) + 567","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -4 + 8. Let i(z) = -13*z - 5. Let j be i(n). Round j to the nearest ten.\nAnswer: -60","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(v) = 2*v - 20. Let c(l) = -2*l + 22. Give 2*c(z) + 3*s(z).\nAnswer: 2*z - 16","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 1305 and 14505.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -6*i = -i - 20. Suppose -i*n = n + 15. Which is bigger: -2 or n?\nAnswer: -2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(s) be the second derivative of -s**4\/6 + 5*s + 3. Let c(j) = j**2 - 5*j + 4. Let i be c(4). Let m(u) = i + 6*u + 0. Give z(m(r)).\nAnswer: -72*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*l + 5*j + 9 = -4*l, 2*j = -2*l + 6. Suppose l*f - 20*f = -18054. What is the hundreds digit of f?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -64*k + 3 - 5 + 2 + 62*k.\nAnswer: -2*k","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y be (1\/2)\/((-20)\/(-210)*7). What is the nearest to 0 in -3, 21, y?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 43\/3588 and -49\/9724.\nAnswer: 670956","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-8)\/(-44)*-1)\/1*-1.\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -5 + (sqrt(180) - (1*sqrt(180) + sqrt(180))).\nAnswer: -6*sqrt(5) - 5","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -3 + 3.5. Suppose -5*l = -4*s - 20, -s - 6*l + 5*l + 4 = 0. Suppose s*u = -5*u + 3*o + 22, 2*u + o = 11. What is the nearest to 1 in w, u, 0.2?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-3)\/24)\/(7860\/12576).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 2\/(-7) + 4\/14. Let f(b) = -b + 20. Let p be f(14). Let q be l*1\/3 + p. What is the highest common factor of q and 60?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1273 and 14969207?\nAnswer: 1273","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1882 by -3.\nAnswer: -1882\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 - 6?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -2.8 - -3. Let x = -69.4 - -69. Which is the smallest value?  (a) 0.6  (b) x  (c) o\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -195 + 279. What is the highest common divisor of q and 56?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from xsskcue. Give prob of picking 1 s, 1 k, 1 x, and 1 c.\nAnswer: 2\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) 0.5  (c) -1474  (d) -0.4\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -5*s + 2*s - 5*s + 10*s**2 - s**3 + 2. Let f be n(9). Let z = 16 - f. What is the units digit of z?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = 2.1 + -0.1. Let u = 0.5 + -0.16. Let g = -0.06 - u. Which is the third biggest value?  (a) -3\/8  (b) j  (c) g\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -77 - -77. Suppose j = 12*o - 5*o - 140. Let p(x) = x**3 + 9*x**2 - x - 4. Let q be p(-9). What is the highest common divisor of o and q?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange l**2 + 162*l**3 + l**4 + 3 + 167*l**3 - 330*l**3 to the form y*l**4 + m*l**2 + b + t*l**3 + a*l and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -533?  (a) -67  (b) 383  (c) -1\/3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 381222 and 48663?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let a be (-6)\/15 + 13707036\/90. What is a rounded to the nearest 10000?\nAnswer: 150000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = 31*c - 1059. Let d be t(40). Solve -d*p + 183*p + 12 = 0 for p.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -35*a**2 + 56*a + 2*a**2 - 56*a.\nAnswer: -33*a**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Work out 12645147 * -0.11.\nAnswer: -1390966.17","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -3 - (2 + (1 - 10)).\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -241 or -254?\nAnswer: -254","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Is 1\/(-3) + (-943)\/(-3) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 13 = -3*g + 27*m - 32*m, 0 = -0*g + 5*g + 19*m - 3*m + 14 for g.\nAnswer: -6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - 0 - (1 + (1 - 4)).\nAnswer: 7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let o(n) be the third derivative of 1\/108*n**4 - 1\/360*n**5 - 4*n**2 + 1\/3240*n**6 + 0 + 7\/6*n**3 + 0*n. Let l(t) be the first derivative of o(t). Factor l(f).\nAnswer: (f - 2)*(f - 1)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (v\/(v*v**36)*v)\/v**13 assuming v is positive.\nAnswer: v**(-48)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0.3, -36352, 676.6 in decreasing order.\nAnswer: 676.6, 0.3, -36352","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: ((-4)\/10*1095\/(-146))\/1\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 81\/3*(-1 - -2).\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 17305?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 223 + -135. What is the units digit of i?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -120 = 693*p - 699*p. Calculate the least common multiple of 172 and p.\nAnswer: 860","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: -1422111 (base 5) to base 8\nAnswer: -71730","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1612?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) be the third derivative of 1\/24*o**4 + 4*o**2 + 0 + 0*o - 1\/2*o**3 - 1\/10*o**5 + 1\/120*o**6. Let y be z(6). Solve y*q - 3 = -6 for q.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find x, given that 3*x**4 - 867*x**3 + 64734*x**2 - 297348*x - 362952 = 0.\nAnswer: -1, 6, 142","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) -2\/3  (b) -2\/11  (c) 6\/289  (d) -5  (e) 6\/5  (f) 1\/11\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -2*n**3 + 9*n + 4 - 8*n + 3*n**2 + n**3 - n**4 to the form w*n + g*n**4 + i*n**3 + s*n**2 + j and give s.\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 4 i when four letters picked without replacement from iiiqqiiii.\nAnswer: 5\/18","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Is 616 a multiple of 22?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 0.3*0.0058\nAnswer: 0.00174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Put -2, 7, 1, 6 in increasing order.\nAnswer: -2, 1, 6, 7","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (j\/j**(-3\/23)*j)\/(j*j*(j\/j**(2\/71))\/j*j*j) assuming j is positive.\nAnswer: j**(-3007\/1633)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -7 + 10. Let w be d\/6 - 3\/6. Solve a = -w*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) = i**2 + 756*i + 11840. What is h(-16)?\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Work out -2.345 * 7157.\nAnswer: -16783.165","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 7945 and 35.\nAnswer: 35","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Round 0.0000052258 to 6 dps.\nAnswer: 0.000005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 12, 81, 244, 543, 1020, 1717?\nAnswer: 2676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 28502097*r**3 - 18980367*r**2.\nAnswer: 171012582","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Round 87389.79 to the nearest ten thousand.\nAnswer: 90000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let h(m) = -4*m - 1. Let j be h(-5). Let f = 21 - j. Suppose -2*g = l - 21, -f*g + 8 = 5*l - 25. What is the units digit of g?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: -0.4 times -195863\nAnswer: 78345.2","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*w + 13 = -3*f, 2*f + 3*f = -3*w - 21. What is the nearest to -0.07 in w, -0.5, 2\/9?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 12, what is 12722b5 - -1?\nAnswer: 12722b6","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y be 0 + (-31749)\/429 + 1. Let o = -798\/11 - y. Let t = o - 11\/52. Is t bigger than -1\/2?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:50 PM and 8:35 AM?\nAnswer: 705","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 2\/3 at least as big as -242.20089?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 76, 295, 660, 1171?\nAnswer: 1828","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 180315 is divided by 2578.\nAnswer: 2433","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve 21735*h - 21734*h + 23 = 0 for h.\nAnswer: -23","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of -1.037852 and 0.8?\nAnswer: -0.8302816","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 246363 is divided by 262?\nAnswer: 83","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -46608*v + 10629*v - 54932*v - 11 + 11.\nAnswer: -90911*v","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Subtract 18.7 from 540477537.\nAnswer: 540477518.3","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 547 minutes after 11:25 PM?\nAnswer: 8:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -135, -415, -835, -1395, -2095?\nAnswer: -2935","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from xnnnunnxuxnx. Give prob of sequence xx.\nAnswer: 1\/11","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-2)\/(2 + 16\/(-6)). Let j be 0*(u\/2 + -2). Suppose j = -2*a + 6*a. Solve 0 = 4*b - a*b for b.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(w) = w**3 + 3*w**2 - w + 82. What is the remainder when b(0) is divided by 54?\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -3*f + 4*w + 11, 2*f + 13*w = 18*w + 19 for f.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 4704 and 768?\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 84 a factor of 1008?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let b(d) = d**2 - 5*d + 10. Let l be b(10). Let t be (2\/(-6))\/(l\/(-18)). Do t and 0 have different values?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from ejpweww. What is prob of picking 1 p and 1 w?\nAnswer: 1\/7","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1353749776.\nAnswer: 2, 84609361","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 24 - (4 + 11) - (16 - 18)?\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_test"},"subset":"dm_maths"}
{"text":"Question: Let k(p) = 2*p**2 - 18*p - 29. Calculate k(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: -20*51\/7140*(6 + (-3985)\/5)\nAnswer: 113","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -73\/4720 and (-371)\/(-14)*16\/6*21\/56?\nAnswer: 4720","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 219 divide 2207260?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let q = -8 + 49. Let g = 36 - q. What is the third biggest value in -0.5, 3\/5, g, 0.1?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*h + 73 = 108 for h.\nAnswer: -7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2 + c**2 + 2)*(2*c + 3 - 3) + (0*c**2 - c**2 + 0*c**2)*(3*c - c + c) + 9*c**3 - c**3 - 2*c**3.\nAnswer: 5*c**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 327, 1024, 2607, 5556, 10351?\nAnswer: 17472","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*a - c + 5, -2*c = -4*a + 10. Let r = 215 - 215.4. What is the third biggest value in a, 0.5, r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -961.3?  (a) 0.2  (b) -0.49  (c) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence kaa when three letters picked without replacement from {a: 4, k: 3, m: 2}.\nAnswer: 1\/14","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let f(q) = 14*q + 63. Let x be f(-6). Let o(i) = -3*i**2 - 63*i + 3. Let w be o(x). What is the smallest value in 32\/9, 4, 2\/13, w?\nAnswer: 2\/13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*f + 96 = 28. Let v = f + 56. What is the units digit of v?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -581089*c**3*t**2 + 54*c**3 - 4*c**2*t + 7*c**2 - 54*c*t**2 - 2*c*t + 757*c + 6 wrt t?\nAnswer: -1162178*c**3 - 108*c","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 48563577 is divided by 12?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 3 z when three letters picked without replacement from kppzzpppkpzkzp?\nAnswer: 1\/91","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 62 minutes before 5:35 AM?\nAnswer: 4:33 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 15 and 185?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the hth term of -4819, -4822, -4825, -4828, -4831, -4834?\n\"Answer: -3*h - 4816","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -0.1?  (a) -16  (b) -3  (c) 4  (d) 0.3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -2 + -1*sqrt(17) + (sqrt(17) + (sqrt(17) + 2*sqrt(17))*2)**2.\nAnswer: -sqrt(17) + 831","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {i: 5, m: 2, y: 2}. Give prob of picking 1 i, 1 m, and 2 y.\nAnswer: 5\/63","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10 + (2 + -2 - -6) + (-9 - -9).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -5, 2, -0.176, -9?\nAnswer: -0.176","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate ((-720)\/42)\/((-1065)\/(-4473)).\nAnswer: -72","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 21094954 and 20.\nAnswer: 210949540","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4 + sqrt(91)\/sqrt(7) + sqrt(637)*6)**2.\nAnswer: -344*sqrt(13) + 24053","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let d(y) = y**2 + 13*y + 33. Calculate d(-5).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Express -273*p - 234*p - 115*p - 139*p in the form q*p + c and give c.\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: -71+-63\nAnswer: -134","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -21*f**4 - f**3 - 7370427*f**2 - 1406394715*f wrt f.\nAnswer: -252*f**2 - 6*f - 14740854","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*k - 4*k + 2*c = -26, 0 = -5*k + 3*c + 69. What is the remainder when 73 is divided by k?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.00047458 to four decimal places.\nAnswer: -0.0005","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*r**4\/7 - 1388*r**3\/7 - 198*r**2.\nAnswer: -2*r**2*(r + 1)*(r + 693)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -2\/3 in -3, -0.2, -26\/7, 0.061, 4?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_test"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 272892?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 11079 is divided by 949.\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -6281 + 21250. Is m composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2 divided by 1719?\nAnswer: -2\/1719","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -729 - -730. Is 3.84 <= k?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:31 AM and 3:15 PM?\nAnswer: 404","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 92340741?\nAnswer: 3, 19, 1620013","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (2 + (0 - 2))\/(-2). Solve 8 = -2*d - z for d.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1206, -2642, -4078, -5514, -6950?\nAnswer: -8386","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1292919 is divided by 790.\nAnswer: 479","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -31\/855 and 27\/76?\nAnswer: 3420","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 1 in -4, 0.1, -4\/75, 5\/11, -23, -2?\nAnswer: 5\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -c + 7 = -2*p, 2*c + 74*p - 76*p = 10. Solve 4*f + g = -8, 0 = 3*f + 2*g + c*g + 23 for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -4*k**3 - 36348*k**2 - 72668*k + 109020.\nAnswer: -4*(k - 1)*(k + 3)*(k + 9085)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the billions digit of 3277500794?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 179 - 164. Calculate the remainder when 822 is divided by o.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -48*s = -36*s - 48*s + 792 for s.\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Solve -23 = 10*u + 3*w, -25 = 4*u + w - 16 for u.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be 7*((-62)\/(-14) + -3). Let v be (-1)\/(u\/4 - 2). Which is the closest to v?  (a) 0.5  (b) 2  (c) 5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 28*x**2 + 13*x - 11*x**2 - 16*x**2 - 13*x.\nAnswer: x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 139657, 139728, 139789, 139834, 139857, 139852?\n\"Answer: -q**3 + q**2 + 75*q + 139582","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when (-5 - 99\/(-18))*2 is divided by (-1)\/(-2) - (-2)\/4.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred thousands digit of 803140?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is 2491.248357 rounded to the nearest integer?\nAnswer: 2491","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5251 - 2299 = 328*f for f.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 49081 * 653\nAnswer: 32049893","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let n(q) be the second derivative of q**4\/12 - 19*q. Suppose -5*w + 44 = -w. Let r(o) = -3 - w*o**2 + 3*o**2 + 3. Determine n(r(g)).\nAnswer: 64*g**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: In base 13, what is 2 + 4902767?\nAnswer: 4902769","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let w be 35\/7 + (115\/(-25))\/1. Sort 1\/4, -0.5, w, -6.\nAnswer: -6, -0.5, 1\/4, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -136368*m**2 + 45508*m**2 + 45491*m**2 + 45427*m**2.\nAnswer: 58*m**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u**2\/2 - 501989*u\/2 + 250995 = 0. Calculate u.\nAnswer: -501990, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23 - 37 = 4*g. Let w be (24\/g)\/(2\/(-5)). Let d(c) = -c**2 - 2 + 1 + w*c - 1. Calculate d(3).\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 3207835, 6415671, 9623507, 12831343, 16039179, 19247015?\nAnswer: 22454851","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 5069?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2348 + 3*x - 2926 - 3*x + x.\nAnswer: x - 5274","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from fjjbbbkb. Give prob of sequence kj.\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Sum 1304 and -4104821.\nAnswer: -4103517","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let j(m) = -m**3 - 5*m**2 - 2*m + 5. Let h = -13 + 9. Determine j(h).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 37 and 314981?\nAnswer: 37","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2.088024 hours in milliseconds?\nAnswer: 7516886.4","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 292, 289, 286?\nAnswer: 283","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-45)\/(-10) - (2 + 10\/(-4))?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is -3347262 divided by 6?\nAnswer: -557877","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let r(b) = 4*b**2 - 4. Let u(s) = -2*s**2 - 2 + 3 - 2 + 3*s**2. Let v(f) = -f**2 + 7*f - 4. Let i be v(6). Calculate i*r(c) - 7*u(c).\nAnswer: c**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 6*(-5*(sqrt(637)*2 - sqrt(637)))**2.\nAnswer: 95550","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-9)\/(90\/20))\/(-4)?\nAnswer: 1\/2","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -2009, -4124, -6461, -9140, -12281, -16004, -20429?\nAnswer: -25676","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-8)\/10 + 50\/(55000\/780).\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth biggest value?  (a) 2\/11  (b) -59\/4  (c) 3\/8  (d) 1\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -325419, 2, 1\/4 in ascending order.\nAnswer: -325419, 1\/4, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {t: 11, j: 7, q: 2}. Give prob of sequence jqt.\nAnswer: 77\/3420","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let z(p) = -p**3 - 4*p**2 - p + 3. Let w be z(-3). Let o be 2*w - 1\/(-1). Which is the biggest value?  (a) -1  (b) o  (c) -4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -141 + 302 = 23*z. Let u be 0*(z + 5)\/36. Factor 3\/5*s**2 + u*s - 12\/5.\nAnswer: 3*(s - 2)*(s + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from emuummmmmeommomuou. Give prob of sequence mmo.\nAnswer: 3\/68","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third biggest value?  (a) 0  (b) -2\/15  (c) -1\/2  (d) -1  (e) 30\/17\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 48018 and 10176.\nAnswer: 318","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.0813986 rounded to two dps?\nAnswer: 1.08","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let g(w) = 35455*w - 354448. Determine g(10).\nAnswer: 102","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve 9*z = -4 + 4 for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let l(f) = 25*f - 1. Let g(o) = -2*o + 7*o + 3*o + 0*o. Let r(m) = -7*g(m) + 2*l(m). What is the first derivative of r(s) wrt s?\nAnswer: -6","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve a**5 + 2770*a**4 + 117745*a**3 + 1321320*a**2 + 3960900*a + 3534192 = 0.\nAnswer: -2727, -27, -12, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Put 3, 4, 11, 19, 179, -2, -35 in ascending order.\nAnswer: -35, -2, 3, 4, 11, 19, 179","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 16\/(-96)*4\/1.\nAnswer: -2\/3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Solve 34934 = 694*l - 15809 - 24903 for l.\nAnswer: 109","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) = -s**3 - s**2. Let c(i) = 3*i**3 + i**2 - 2*i. Let w = -3 - -40. Let t = w - 38. What is t*h(f) - c(f)?\nAnswer: -2*f**3 + 2*f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -752.41619 rounded to the nearest one hundred?\nAnswer: -800","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 1 + 2. Suppose -i*k - 2*m - 4 = -0*k, 0 = k + 5*m + 23. Factor -w**4 + w**k - 1\/2*w**5 + 0*w**3 + 1\/2*w + 0.\nAnswer: -w*(w - 1)*(w + 1)**3\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -52*c = -42*c - 344412 - 311298. What is the hundreds digit of c?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 3 - 0. Suppose i*w - 2*w - 4 = 0. Let z(y) = -19*y**2 + 4*y + 15. Let d(q) = -12*q**2 + 3*q + 10. Let o(j) = 8*d(j) - 5*z(j). Calculate o(w).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1860 take away 8374?\nAnswer: -10234","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w(u) = -5*u - 15. Let a(x) = 3*x + 8. Let i(m) = 11*a(m) + 6*w(m). What is i(-5)?\nAnswer: -17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 11368 and 746228.\nAnswer: 812","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (4\/10*-1)\/(7\/(-5)).\nAnswer: 2\/7","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Product of 4 and 5842.\nAnswer: 23368","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 12*d - 742*d**2 - 12*d - 323*d**2.\nAnswer: -1065*d**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the sixth biggest value?  (a) 0.4  (b) 898  (c) 3  (d) -3  (e) -3\/7  (f) 0.26\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 12:14 AM and 8:14 AM?\nAnswer: 480","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 63\/2 - 91\/3. Let z(m) be the second derivative of 0 + x*m**4 + 6*m + 0*m**3 - m**2. Find the first derivative of z(r) wrt r.\nAnswer: 28*r","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w(v) = -3*v**3 - 39*v**2 + 71*v - 41. Let q(z) = 7*z**3 + 119*z**2 - 215*z + 122. Let y(n) = 8*q(n) + 22*w(n). Factor y(h).\nAnswer: -2*(h - 1)**2*(5*h - 37)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = -u**3 - 8*u**2 - 3*u - 6. Let l be i(-6). List the prime factors of (-638)\/(-14) + l\/105.\nAnswer: 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 135695 a multiple of 116?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let m(x) be the third derivative of -x**5\/60 + x**4\/24 - 6*x**2. Let d be m(0). Suppose 3*l + 0 - 24 = -4*b, -l + 4 = d. What is the units digit of b?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*m = 20, q + 2*m = -3*m - 21. Let w = q + 2. Suppose 5*r - w - 14 = 0. Solve -2 - 18 = r*u for u.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -241423 + -4?\nAnswer: -241432","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 603359 to the nearest integer?\nAnswer: 777","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 13178 + -9125. What is the thousands digit of c?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -12 = -6*p + 3*p. Let q be 4 + 0 + 20\/(-5). Suppose q = -4*v + 2*t - 7*t + 93, -3*t = p*v - 83. Is v a multiple of 8?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(l) = -111*l - 551. Let a be t(-5). Let y(x) be the third derivative of 0*x + 1\/210*x**5 + 0*x**3 - 1\/84*x**a + 0 - 10*x**2. Suppose y(c) = 0. What is c?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -45\/436822654 and 18?\nAnswer: 436822654","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is -519 < -519?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 5 + 100404533?\nAnswer: 100404542","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Solve c + i = 6*c + 15, 3*i = 4*c + 23 for c.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6 - 16 - 3 - 6*f + 8*f - f.\nAnswer: f - 25","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 10*s + 6*s - 2464. Suppose 42 = 7*f - s. Calculate the greatest common divisor of f and 756.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 11:40 PM and 8:24 AM?\nAnswer: 524","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third smallest value in 0.4, -1\/2, 65\/1913953?\nAnswer: 0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-h + 0*h - 2*h)*(-5*h**2 + 0*h**2 + 3*h**2) + 0*h**3 - h**3 + 0*h**3.\nAnswer: 5*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -416 = -0*u - 4*u. Suppose -4*n - 5*o = -37, 107*n - 111*n + 46 = 2*o. Calculate the greatest common factor of n and u.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (748\/238 - 12\/(-14))\/(16\/(-184))?\nAnswer: -46","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4 - (-15 + (-2 - -21) - -7)?\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Factor 14*q**2 + 40220*q - 9851346.\nAnswer: 2*(q - 227)*(7*q + 21699)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 6582*a**2 + 6788*a**2 - 13327*a**2 - 2*a.\nAnswer: 43*a**2 - 2*a","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 6*a*u**2*y**3 + 6*a*u**2 + 3*a*u*y**3 - 2*a*u*y + 9*u**2*y**3 + 14*u**2*y**2 wrt y.\nAnswer: 36*a*u**2 + 18*a*u + 54*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*z - 5 = 0, 3*n + 44*z = 49*z + 11 for n.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -22*s = -17*s + 466150000. Round s to the nearest one million.\nAnswer: -93000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-1 + 1 + c**3)*(-33 - 12 + 46 - 48*c) to a*c + q*c**3 + r + o*c**2 + p*c**4 and give q.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: ((-108)\/(-1440))\/(24\/(-20))\nAnswer: -1\/16","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*t + 207 = -12*t. Let n = 41 + t. Let x be (-8)\/n + (-19)\/(-7). Let j(l) = -l**3 + 4*l**2 - l - 3. Determine j(x).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of 264, -131, -790, -1713?\n\"Answer: -132*p**2 + p + 395","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Are 15\/22399 and 1 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many meters are there in twenty-nine fifths of a kilometer?\nAnswer: 5800","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 896 divided by 1?\nAnswer: 896","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let i(q) = q**3 + 2*q**2 + 3*q + 3. Let c(x) = -x**2 - x - 1. Let b(r) = 3*r**2 + 3*r + 3. Let h(j) = b(j) + 4*c(j). Give -2*h(f) - i(f).\nAnswer: -f**3 - f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 10351?\nAnswer: 11, 941","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 2 + 2)*(-62*q + 31*q - 5*q).\nAnswer: 36*q","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 30*x**2 + 29*x**2 - 37*x**2.\nAnswer: 22*x**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 4057 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence bf when two letters picked without replacement from {f: 6, b: 7}?\nAnswer: 7\/26","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -72 - -74. Suppose -n = c - 30, 2*n - 2 = 4. Find the third derivative of c*m**2 + m**3 - 14*m**3 - 12*m**w wrt m.\nAnswer: -78","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(i) be the first derivative of 1\/6*i**3 + 33 + 0*i + 1\/2*i**2. Find b, given that n(b) = 0.\nAnswer: -2, 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 481656800 divided by -96331360\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*a - 2*s - 1 = -10*a, 5*a = 3*s - 16. Let w(x) = -x**3 - x**2 - x + 1. Let k(q) = -2*q**3 - 7*q**2 - 4*q + 5. Let b(h) = k(h) - w(h). Determine b(a).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 89356 and 173728?\nAnswer: 356","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 1772.9 + -334.22. Round u to the nearest 10.\nAnswer: 1440","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -549169489, -1098338978, -1647508467, -2196677956, -2745847445, -3295016934?\nAnswer: -3844186423","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let d(c) = 2*c**3 - c - 1. Let n = 405 + -235. Let z be (-1*2)\/(-8) + n\/(-136). Give d(z).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 23046679 is divided by 14.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let o = -8837\/19 - -465. Which is the second smallest value?  (a) -0.4  (b) 1\/4  (c) o\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 150 and 2570?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 2.82 + -2.969. Let t = -8.851 + y. Which is the closest to t?  (a) -2  (b) -4  (c) 9\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((-2)\/(-3))\/((-2)\/(-36)). Let y be -2 + 3*9\/w. Let k = 3842\/8685 - -2\/965. Sort k, -0.4, y in increasing order.\nAnswer: -0.4, y, k","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (3 + a**2 - 3)*(-9*a**2 + 30*a**2 + 33*a**2) + (a + a**2 - a)*(2*a - 2*a - 2*a**2) to p*a + l + t*a**4 + b*a**2 + k*a**3 and give t.\nAnswer: 52","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -2 + 0 + 0 + 51 + (-71 - -19).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -40495\/2 <= -20247?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 400898177.\nAnswer: 1223, 327799","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Put -48, 1\/3, -3, -454 in ascending order.\nAnswer: -454, -48, -3, 1\/3","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let i(u) = 6*u**2. Let y(w) = 47*w. Determine i(y(r)).\nAnswer: 13254*r**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 9199 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence oe when two letters picked without replacement from {e: 11, o: 1}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 183 is divided by 21.\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4 + (-4*((sqrt(125) - 1*sqrt(125)*-2) + sqrt(125) + -5 + -5) + -1)**2.\nAnswer: -6240*sqrt(5) + 33517","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 187*q + 187*q - 542*q = -182*q - 910 for q.\nAnswer: -65","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-11 - (-9765)\/245) + -18 + 2\/14.\nAnswer: 11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*t - 3 = -8*t, 2*f - 3*t = 637. Calculate the greatest common factor of f and 2.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 712, 975, 1238, 1501, 1764, 2027?\nAnswer: 2290","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -5 - (-2 - 2 - 2) - -8?\nAnswer: 9","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is 22 a factor of 1629?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*b + b - b)*(b + 3*b - 2*b) - 2*b**2 + 2*b**2 - b**2 - b**2 - 4*b**2 + 3*b**2 - 5*b**2 + b**2 - 3*b**2.\nAnswer: -6*b**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is 12869.58 less than -786963?\nAnswer: -799832.58","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -229 + 525. What is the greatest common divisor of 8 and l?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -6007 + 6007. Let h = 85161\/158 + -539. Let t = h + -34\/869. Is x < t?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the smallest common multiple of 1688500 and 85346000.\nAnswer: 938806000","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is -1023113 - 20?\nAnswer: -1023133","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -147 + 836 - 2805*y - 2364*y wrt y.\nAnswer: -5169","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(l) = 11*l**2 - 3*l - 5. Let f be h(-1). Suppose -4*w = d - 60, 8*w + 5*d + 36 = f*w. Calculate the lowest common multiple of 28 and w.\nAnswer: 112","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(h) = 447*h**2 + 78*h + 765. List the prime factors of x(-7).\nAnswer: 2, 3, 1229","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: ((-6)\/12)\/((-1)\/2)\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17955?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let f(h) = h**2 + h. Suppose -3*s - 14 = -2*a - 2, a - 4 = 2*s. Let n be (-75)\/a + (-2)\/(-8). Let m(c) = -2*c**2 - 2*c. Calculate n*m(d) - 13*f(d).\nAnswer: -d**2 - d","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Does 89 divide 4119?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 55 + -24. Suppose -l + 0 = -3*x + 1, -5*x + y = 2*l. Find the first derivative of -11*a**4 + 2*a**4 - l + 1 - 4*a**4 wrt a.\nAnswer: -52*a**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3 * 43977861\nAnswer: 131933583","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: 0.3864 * 2989\nAnswer: 1154.9496","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Round 2941.748 to the nearest ten.\nAnswer: 2940","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 17\/1 - (-1 + 2). Let f(y) = 17*y - 2 + 5*y**2 - y**3 - 7*y - 2*y - 9*y. Let k be f(2). Calculate the highest common divisor of b and k.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-10*q - 4*q + 4*q)*(43*q**2 - 85*q**2 + 84*q**2).\nAnswer: -420*q**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 7780537 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 626692561?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -2\/3  (b) -12\/5  (c) -0.5  (d) 46264  (e) 0\nAnswer: e","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 22 or 278434?\nAnswer: 278434","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.01742660546 rounded to three dps?\nAnswer: 0.017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 717?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = d**3 + 430*d**2 - 29397*d - 173. Calculate h(60).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*s + 9 = -16. Is 13 a factor of 68\/5 + (-3)\/s?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i - 4*w + 5204, -209*i + 207*i - w = -3461. Is 36 a factor of i?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 10252 and 43076?\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let t = -0.05322 + 0.0532206239. What is t rounded to 7 dps?\nAnswer: 0.0000006","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2.894 + 3.\nAnswer: 5.894","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*t**2 + 4*t**2 - 6*t**2 + 2*t)*(6*t + 22*t + 51*t).\nAnswer: -553*t**3 + 158*t**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -39*q + 64*q**3 - 86*q - 65*q**3 + 244*q.\nAnswer: -q**3 + 119*q","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 19 + 10. What is the third derivative of 0*n**4 + 3*n**4 + 25*n**2 + p*n**6 - 3*n**4 wrt n?\nAnswer: 3480*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 0.128338*5\nAnswer: 0.64169","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*l - 6, l = 2*n - 28 + 2. Let f(z) = z**2 + 5*z - 2. What is the remainder when f(4) is divided by n?\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -2\/7  (b) 81  (c) 82756\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*a - 3113 = 10347. Suppose 12*n = 8*n + a. Is n composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (7 - (13 - -4)) + (-3 - -17)?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 20504929 to the nearest integer?\nAnswer: 4528","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 13*w + 970 = -499. Sort w, 0, -2, -1.\nAnswer: w, -2, -1, 0","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor j**2\/6 + 3515*j\/6 - 2346.\nAnswer: (j - 4)*(j + 3519)\/6","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Sort 168, 3, 1, -4, -2 in ascending order.\nAnswer: -4, -2, 1, 3, 168","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 times 0.0058093?\nAnswer: -0.0174279","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {r: 2, m: 2, b: 1}. What is prob of sequence mr?\nAnswer: 1\/5","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1 - 2 = -w for w.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.163 - -312055188.\nAnswer: 312055188.163","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is 714 minutes after 3:06 PM?\nAnswer: 3:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((z**(-2)\/z*z)\/z)\/z**(6\/7) assuming z is positive.\nAnswer: z**(-27\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2993 to the power of 1\/3, to the nearest integer?\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 38 = 4*w - 3*w. Suppose -2 = -3*k + 5*j - j, 0 = -3*k - 4*j - w. Is 324\/45*(-20)\/k a multiple of 4?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (z*z**7)\/((z\/(z**25\/z))\/z)*z**(-10\/11)\/(z**28*z) assuming z is positive.\nAnswer: z**(23\/11)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -2*k + 44*q - 39*q + 28, 0 = -k - 2*q + 14. Let c be 24\/(-3)*(21\/(-3))\/k. Solve 0*y - c*y - 20 = -a, -5*y - 25 = 2*a for a.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 1\/((-1)\/((-1)\/2*(-84)\/14)).\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(d) = 7*d - 17. Let r(y) = -9*y + 5. Let t be r(-5). Suppose 0 = 3*a - t + 14. Is 17 a factor of h(a)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 597 minutes before 8:57 PM?\nAnswer: 11:00 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Does 8 divide 376?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -25, -68, -145, -274, -473, -760, -1153, -1670?\nAnswer: -2329","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many milliseconds are there in 933859.8 days?\nAnswer: 80685486720000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-40 - (28 - 35) - -53) + -125.\nAnswer: -105","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Is -195467 less than -195466?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let j(f) = -10*f**2 - 5*f + 19. Determine j(-5).\nAnswer: -206","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-3443*x + 44 + 49 + 51 - 144)*(0 + 3 + 0).\nAnswer: -10329*x","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (s**(2\/3)*s)\/s**(1\/40)*(s*s*s**16*s*s*s*s)\/s*s\/(s*s\/(s\/(s*s\/(s**(-2\/11)*s)))*s) assuming s is positive.\nAnswer: s**(27007\/1320)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 388 a multiple of 9?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) be the second derivative of 5*w**3\/6 - w**2\/2 + 176*w + 2. Let p(d) = -2 - 20*d + 2 - 2 + 7. What is 9*i(o) + 2*p(o)?\nAnswer: 5*o + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 r and 1 o when two letters picked without replacement from {r: 1, c: 3, o: 1, g: 5, x: 1}.\nAnswer: 1\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put together -17 and 973075.\nAnswer: 973058","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -0.049199619 + 0.0492. Round d to 7 decimal places.\nAnswer: 0.0000004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -53 + 65. Solve 2*n - 6*n - a = 0 for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -139*d**2 - 53*d**2 - 182*d**2 + 47*d**2 to h*d + r + l*d**2 and give l.\nAnswer: -327","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 1.6 - -0.4. Let u be 3 + (-10)\/6 + -2. Is g not equal to u?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -2*w**2 - 37*w + 52. Suppose 262*c - 140 = 269*c. Calculate l(c).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: -259741*-4\nAnswer: 1038964","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 1 + -2. Let p be 65\/10*12\/39. Sort p, z, -5 in ascending order.\nAnswer: -5, z, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: (11 + -20 + 8)*(-5 + 10)\/375\nAnswer: -1\/75","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 32 and 36?\nAnswer: 288","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(l) = 2*l - 32. Give c(13).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Divide -3 by -41748.\nAnswer: 1\/13916","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*d = d - 10. Suppose -18 = -4*n - d. Solve -14 = n*h + 6 for h.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (45\/10 - 3)\/((-2)\/(-4)). Suppose -x*s - 4*t + 512 = -s, 1024 = 4*s + 5*t. Suppose -s = -3*r + 4*l, 5*l - 388 = -4*r + l. What is the tens digit of r?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 191021.\nAnswer: 191021","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.05 less than 50712.62174071?\nAnswer: 50712.67174071","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Convert 3a6 (base 11) to base 9.\nAnswer: 582","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (c**(-1\/5)\/(c*c**(-6\/11)*c))**14\/(((c**(1\/3)\/c)\/c)**21*c\/(c*c*c**6)*c\/c**(2\/5)) assuming c is positive.\nAnswer: c**(1003\/55)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let k(w) = -638*w + 8. Let i be k(0). Solve 8 = 4*a - 4*d, -i - 8 = -5*a + 2*d for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -2.88343547 rounded to four decimal places?\nAnswer: -2.8834","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 4968, 3, -1, -0.5 in decreasing order.\nAnswer: 4968, 3, -0.5, -1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let h(j) = j**2 + 5*j**3 + j + 0*j**2 - j**3 + 2. Suppose 0 = -v - 2*d + 16, 3*v + v - 4*d - 52 = 0. What is the remainder when h(2) is divided by v?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -127270*t**2 - 79443*t wrt t.\nAnswer: -254540","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let f = 158 + -109. Calculate the highest common factor of f and 7.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(p) = -4*p. Let x(k) = -8*k - 1. Let q(o) = 5*g(o) - 3*x(o). What is the first derivative of q(w) wrt w?\nAnswer: 4","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be (-8)\/10 + (-48783)\/115. Round m to the nearest 100.\nAnswer: -400","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 119715939?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -10*o + 1. What is m(5)?\nAnswer: -49","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v(g) = -g**2 + 9*g - 12. Suppose -3*c - 99 + 123 = 0. Calculate v(c).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -2*n**5\/17 - 24*n**4\/17 + 54*n**3\/17 - 28*n**2\/17.\nAnswer: -2*n**2*(n - 1)**2*(n + 14)\/17","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p be -4*(14\/(-8) - 0). Suppose -5*q + 83 + 86 = 3*w, 3*w + 76 = 2*q. Calculate the greatest common divisor of q and p.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 486000 rounded to the nearest one hundred thousand?\nAnswer: 500000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let o(d) = -6*d**3 + 3*d**2 + 3*d + 5. Let w(t) = 7*t**3 - t**2 - 4*t - 3 - 1 - 3*t**2 - 2. Let k(v) = 4*o(v) + 3*w(v). What is the derivative of k(z) wrt z?\nAnswer: -9*z**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 19, 114, 353, 808, 1551, 2654, 4189, 6228?\nAnswer: 8843","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert -12530000 (base 7) to base 10.\nAnswer: -1150079","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 1, 26, 67, 130, 221, 346, 511?\nAnswer: 722","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is -50257500 divided by -8?\nAnswer: 12564375\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2181*z = 2172*z for z.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 25530+-0.0121\nAnswer: 25529.9879","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + 3*j = -6, 2 = -3*c - 0*c - 5*j. What is the nearest to c in 2\/3, 1\/7, -7, 3?\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 854\/15 + -9424\/165. What is the smallest value in q, 1\/3, 213?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 720 and 19840?\nAnswer: 178560","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose s = 3*o - 2*s - 17562, 5*o + 4*s = 29252. Suppose -4*w = -2*t - o, 2*t = 3*w - 0*t - 4387. Is w composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fourth biggest value in 10, -0.9, 4, -15081?\nAnswer: -15081","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-7)\/5 - -1) + 189\/(-540)?\nAnswer: -3\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*n - 66 - 4 = -4*g, 0 = -g + 3*n + 20. Suppose 6 = w - 0. What is the remainder when g is divided by w?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*r - r + 2*r)*(-r - 1 + 0 + 0).\nAnswer: -r**2 - r","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(i) = i**3 - 9*i**2 - 12. Let u be m(9). Calculate the common denominator of -1 - -3 - 54\/8 and 6\/(-22)*(-40)\/u.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 166 + 264 = 5*w. Suppose -2*r + w = 82. Calculate the least common multiple of r and 4.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6*f**3 - 5*f - 10 - 2*f**3 - 4*f**3 + 10*f**2 + 5*f**3 = 0. Calculate f.\nAnswer: -2, -1, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 707204593 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 115*t - 118*t = -4*m - 28, 3*t = 2*m + 20. Let z(x) = -5*x**2 - 21*x + 9. Let u(s) = 3*s**2 + 11*s - 5. What is m*z(f) - 7*u(f)?\nAnswer: -f**2 + 7*f - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.745 times -127?\nAnswer: 94.615","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Is 1314338171 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Simplify l\/(l\/(l*l*l*(l*l**(-12)*l)\/l))*l**(15\/7) assuming l is positive.\nAnswer: l**(-41\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: -123126463*-1\nAnswer: 123126463","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: -14 + (-1 + 1)\/(-14) + 4\nAnswer: -10","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -76 - -130. Let t = -24 + i. Let r = -40 + t. Which is smaller: 0 or r?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3 = 2*r + 1. Suppose -4 - 8 = -3*z. Let l be z\/4 - 10\/7. What is the closest to r in -2\/9, 2\/5, l?\nAnswer: 2\/5","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t(f) = -3*f**3 + 4*f**2 + 16*f + 7. Let r be t(-7). Let m be r\/((-12)\/3) - -2. Let j = 439 + m. Is j a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 3*j + 11 = 4*j, j = 1. Let s = m - 10. Is 1*(-1 - s)*3 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express (-d + d - 5*d)*(-1 + 256*d**2 + 2 - 319*d**2) as f*d**2 + u*d + b + p*d**3 and give u.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2946 - 966 = 4*d. Suppose -4*w = -2*o + 198, -5*w - d = -5*o - w. Calculate the greatest common factor of o and 11.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -763*o + 1408*o - 10085 = 55705 for o.\nAnswer: 102","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 1837311?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -472.68 + 465. Round u to the nearest integer.\nAnswer: -8","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(704)*-1)**2*-4 - (-1 + sqrt(704) + -1 + sqrt(704) + sqrt(704)).\nAnswer: -2814 - 24*sqrt(11)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -6 + 11 + -3 - (-4 - (-5 - 2))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -8695960, -17391900, -26087840, -34783780, -43479720, -52175660?\nAnswer: -60871600","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 5 + -5 + 2 + 4. Calculate the highest common divisor of 6 and c.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0 - 1 + 14272*m - 29000*m + 14640*m.\nAnswer: -88*m - 1","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -1 or 24\/79?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -l - 5*l + 18 = 0. Suppose 0 = 3*r + 5*c + 12 - 41, 15 = r + l*c. Solve 3*k = -5*t, 8 = 4*t - r*t - k for t.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 15*f**2 + f**3 - f**4 - 16*f**2 + 130*f - 147*f in the form r*f**3 + k*f + o + s*f**2 + t*f**4 and give t.\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 13 + -7. What is the lowest common multiple of (66\/(-55))\/(t\/(-20)) and 8?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -602, -2047, -4460, -7853, -12238, -17627, -24032?\nAnswer: -31465","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let x(k) = -458*k**2 - 916*k - 916. Let p(f) = f + 1. Calculate -916*p(l) - x(l).\nAnswer: 458*l**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 31137676?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -7*y = -8 - 90. Let a be 982\/y + 3\/(-21). Calculate the greatest common divisor of a and 21.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve q - 43 = -7*y, 5*q = -15805*y + 15802*y + 23 for y.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate -1021599*h**2 + 289189 wrt h.\nAnswer: -2043198*h","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let t(x) be the first derivative of -x**2\/2 + x + 74. Let p be t(-2). Factor -3\/2*l**5 + 0*l**p + 3\/4*l**2 + 0 + 0*l - 9\/4*l**4.\nAnswer: -3*l**2*(l + 1)**2*(2*l - 1)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -175 - -386. What is the hundreds digit of b?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: 396\/(-231 + 152 + 75)\nAnswer: -99","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is 104186199 divided by 3?\nAnswer: 34728733","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l be -14*2 - ((-8)\/2 + 4). Let o be l\/35*5\/(-2). Solve 0 = o*d, d = -2*h + 2*d + 8 for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 7\/3 of a week in hours?\nAnswer: 392","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 315 and 178110?\nAnswer: 1246770","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 x when two letters picked without replacement from xmxkxffxxxfs?\nAnswer: 5\/22","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, -2, 3, -312, -3, 22 in ascending order.\nAnswer: -312, -4, -3, -2, 3, 22","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: In base 4, what is 103131301 + -13?\nAnswer: 103131222","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 1718412392?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -8*y + 11*y - 105. Calculate the remainder when y is divided by 24.\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 413989989?\nAnswer: 3, 7, 19713809","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 1708.7 + -1708.8. Which is the nearest to p?  (a) 0.3  (b) 3  (c) 299\/4\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence pquu when four letters picked without replacement from ppzupppquqqu?\nAnswer: 1\/132","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many nanometers are there in 3\/25 of a micrometer?\nAnswer: 120","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(z) = 5*z**2. Let b(m) = 255*m**2 + 10. Give j(b(a)).\nAnswer: 325125*a**4 + 25500*a**2 + 500","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 9903 and 134756723.\nAnswer: 3301","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Is 916829 a multiple of 93?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0007816543 rounded to seven dps?\nAnswer: 0.0007817","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve -15943481*p + 15943390*p = -7189 for p.\nAnswer: 79","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((u\/u**(-4))\/(u*u*u*u**1*u))\/(u**(4\/3)*u*u**(-2\/9)))**(-5\/4) assuming u is positive.\nAnswer: u**(95\/36)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 2*q**3 + 118805*q**2*v**3 - 66*q*v**2 + 2*v**3 - 3*v**2 wrt q.\nAnswer: 12*q + 237610*v**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 143803 to the power of 1\/4, to the nearest integer?\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -178, -186, -194, -202, -210, -218?\nAnswer: -226","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -95\/33278 and -97\/5628?\nAnswer: 13377756","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 146291349 to the power of 1\/3, to the nearest integer?\nAnswer: 527","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -15 - -14.66. Let g = r + -0.06. Let d = 0.3 - -2.7. Sort d, -0.5, g in increasing order.\nAnswer: -0.5, g, d","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1120 = 8*r - 960. Suppose 791 = 3*i + 4*j, -6*i + 5*i + r = 5*j. What is the tens digit of i?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2*i - 7 = -g, -5*g - 5*i + i = -17 for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of -1 + 34\/30 + (-9567)\/(-135)?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -0.3  (b) -15  (c) 2\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: -1.74 * -41114\nAnswer: 71538.36","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (20\/(-5))\/(-4) - (-1 - -1). Suppose 2*f - 11 = -v, 3*f = 5*g - 1445. List the prime factors of g.\nAnswer: 2, 73","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is s in 2*s**4\/9 - 28*s**3\/9 + 40*s**2\/3 - 100*s\/9 - 250\/9 = 0?\nAnswer: -1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let n = 16822 - 16821.88. What is the second biggest value in n, -4\/7, 178?\nAnswer: n","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 28*m + 54 - 12 = -14 for m.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is 4 - -52c?\nAnswer: 530","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let s(t) be the second derivative of 0 + t**2 - 11\/6*t**3 + 49*t. Let g(m) = -5*m + 1. Give -7*g(i) + 3*s(i).\nAnswer: 2*i - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is 337 minutes before 11:08 AM?\nAnswer: 5:31 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let x(w) = 9*w**2 - 19*w - 9. Let j(u) be the first derivative of -2*u**3\/3 + 5*u**2\/2 + 2*u + 814. Give 26*j(c) + 6*x(c).\nAnswer: 2*c**2 + 16*c - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let g(l) = -4*l + 5. Let j(z) = -3*z + 1. Let b(c) = -g(c) + 5*j(c). Let p(k) = -14*k. What is b(p(o))?\nAnswer: 154*o","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = 12*s**2 - 552*s + 21. Let d(c) = -14*c**2 + 553*c - 25. Determine -5*d(h) - 6*n(h).\nAnswer: -2*h**2 + 547*h - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 46 - 44. Let s be -4 + 4 + p - -12*14. Suppose -s = 7*v - 667. What is the tens digit of v?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -s + 8*s - 7. Suppose t + 5*b = -26, -t = -5*t + 5*b + 21. Sort 2, t, s in decreasing order.\nAnswer: 2, s, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is -22404 - -223155?\nAnswer: 200351","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What is -21779.78 rounded to the nearest one thousand?\nAnswer: -22000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 90*o = 83*o - 21 for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -53 - -54. Let o be 2 + 35 + (s - 3) - 3. What is the greatest common factor of 4 and o?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 11445560.\nAnswer: 2, 5, 7, 41, 997","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is 40 + 2 - (847 + -832)?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r = 17 + -12. Suppose 0 = r*u - 24 + 4. Let z be (3\/u)\/((-5)\/(-20)). Solve z*y - 6 = 3 for y.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 424 minutes before 3:13 AM?\nAnswer: 8:09 PM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 13, -218\/5, 2\/9?\nAnswer: 13","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, 11, 2, -56, -5 in descending order.\nAnswer: 11, 2, -1, -5, -56","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 2333*a*c**2*n**3*p + 9*a*c**2*n*p**3 + 95*a*c**2*n*p + 300*a*c*n**3*p**3 + 4*a*c*n**2*p**2 - a*c*n**2 wrt n?\nAnswer: 13998*a*c**2*p + 1800*a*c*p**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1234260?\nAnswer: 2, 3, 5, 6857","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is -2102132 (base 4) in base 15?\nAnswer: -2b9e","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let j(h) = 3*h**3 + 69*h**2 + 2*h + 25. Calculate j(-23).\nAnswer: -21","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6)\/((-4)\/(-6)*(-36)\/24).\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g(i) = -3*i**3 + 2*i**2 + i - 2. Let b be g(2). Let c = -15 - b. Is -2\/9 at most as big as c?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: -29 (base 12) to base 14\nAnswer: -25","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let x(n) = 26*n - 1. Let w be x(1). Let d(h) = 5*h**2 - 1. Suppose -5*y + 0*y + 5 = 0. Let l be d(y). Solve 0 = l*q + q + w for q.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 2 - 0. Let y be (1*16\/m)\/2. Solve 16 = -0*b - y*b for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many seconds are there in 10\/9 of a hour?\nAnswer: 4000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let n(r) = r**2 + 8*r + 2. Let u be n(-8). Let p(c) = -3*c + 9*c**2 + 3*c - 74*c**u. Let h(j) = 128*j**2 + 2 - 126*j**2 - 2. Determine p(h(t)).\nAnswer: -260*t**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -4*t + 16805 + 5427. Suppose 15*c - 37 = t. What is the units digit of c?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o + 40 = -o. Suppose o = 2*h + 2. Calculate the remainder when 2\/7 + 75\/7 is divided by h.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify sqrt(16)\/(sqrt(8) + sqrt(128)*-4) - -1*(sqrt(242) - (sqrt(242) + (sqrt(242) + sqrt(242) + 1 + sqrt(242) + sqrt(242) - sqrt(242))))**2.\nAnswer: 989*sqrt(2)\/15 + 2179","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7443.\nAnswer: 3, 827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 73, 89, 107, 127, 149, 173, 199?\nAnswer: 227","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -x**2 - 11*x + 12. Let n(l) = -l**2 - 12*l + 13. Let m(f) = 4*n(f) - 5*z(f). Determine m(-6).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(s) = -7*s. Let a(t) = 284*t**2. Calculate a(q(c)).\nAnswer: 13916*c**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let s(w) = 2*w - 5. Let j be s(4). Suppose -229 = j*k - 562. Is 16 a factor of k?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -23*d - 5016 + 61251 = 0. List the prime factors of d.\nAnswer: 3, 5, 163","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 24 in -376, -3, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*s**5 + 227*s**4 + 1235*s**3\/4 + 125*s**2\/4 - 155*s\/2 - 22 = 0. Calculate s.\nAnswer: -44, -1, -1\/2, -2\/5, 1\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 43 + -35 + ((-16)\/(-14))\/(52\/910)?\nAnswer: 28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 175709 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: -8 * 24.83324\nAnswer: -198.66592","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*x = 19*h - 25, -171*x - 2 = -171*x - 2*h for x.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Solve 4*n = 43*w - 41*w + 8, -3*w - 36 = 2*n for n.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in thirteen eighths of a litre?\nAnswer: 1625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 1 - 0. Suppose 0 = -3*t + 3*z + 27, -2*t = 2*t - 3*z - 33. Let j(n) = -n + 8. Let b be j(t). Which is smaller: q or b?\nAnswer: q","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (a**(-4\/3)\/(a*a\/a**(2\/9)*a*a*a))\/(a**4*a**(1\/2)\/a*a*a) assuming a is positive.\nAnswer: a**(-209\/18)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -9 + 4*v - 9 + 3*v**4 - 3*v + 2*v**3 + 4*v**2 - 3*v**2 + 10 to k*v**4 + c + q*v**2 + j*v**3 + b*v and give b.\nAnswer: 1","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Solve -16*x = -8388 + 8644 for x.\nAnswer: -16","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is -4 - -154504?\nAnswer: 154500","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand ((-3 - 4 + 5)*(4*z - 3*z - 3*z) - 2 + 2 - z + 0*z + z + 0*z)*(-6*z + 3*z - 9*z)*(-z + 4*z + 0*z).\nAnswer: -144*z**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-9)\/(36\/(-32))*(-6)\/12.\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Does 2755 divide 1637830970?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) 0  (b) -2\/69  (c) 2  (d) 1\/7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: (-1 - (-11 + -2))*(-2)\/(-44)\nAnswer: 6\/11","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*y = -4*n + 4189 + 3245, n - 1871 = -2*y. Let b = n + -14. What is the tens digit of b?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4039 = -10*c + 3371. Are c and 2 non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 81 and 873?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: -2*1\/(-4)*2\/(-1)\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fourth smallest value?  (a) 644  (b) -0.195  (c) 27  (d) -14\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let k be 15\/4 - (-3)\/12. Let u be (-1525)\/(-20)*2*k. What is u rounded to the nearest 100?\nAnswer: 600","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(m) = 2*m**2 + 2*m + 9. Let u be (-16 - -22)*(-2)\/(-4)*-1. Let l be x(u). Let r = 2 + 3. Solve 3*b - 4*o = -4, r*b - 7 + l = 3*o for b.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 33*w - 44*w = -44. Solve 5*d - 12 = -2*s, -d - w*s - 8 = -s for d.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 49 a multiple of 7?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 2.01 - 0.01. Let h = -0.52 - -0.3. Let w = 0.22 + h. Which is the nearest to t?  (a) w  (b) -0.3  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 16.1?  (a) 64  (b) -0.6258  (c) 2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1289*w = -28212 + 46258 for w.\nAnswer: 14","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 165135995?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -494*a + 13*a - 11178 = -67*a for a.\nAnswer: -27","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the yth term of 18326700, 36653385, 54980070, 73306755?\n\"Answer: 18326685*y + 15","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -268, -1098, -2494, -4456?\n\"Answer: -283*f**2 + 19*f - 4","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Does 62 divide 25771912?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: -12000111102 (base 3) to base 6\nAnswer: -2041145","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1280 and 39040?\nAnswer: 640","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 11453400 and 1679832.\nAnswer: 125987400","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let i(v) be the third derivative of -3919*v**9\/504 - v**5\/60 + 169*v**4\/12 + 2028*v**2. Find the third derivative of i(d) wrt d.\nAnswer: -470280*d**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -64 - 29 - 6*c + 124 - 31.\nAnswer: -6*c","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 10, -4, -0.64, -5 in decreasing order.\nAnswer: 10, -0.64, -4, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2*r - 3*r - 7*r)*(9 + 12 - 7)*(-3*r**2 + 2*r**2 - r**2) to l*r + c*r**3 + j + i*r**2 and give c.\nAnswer: 224","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is -36159 > -36160?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Expand (1 + 3*p - 1)*(-1535*p + 63*p**3 + 1535*p)*(2 + 2*p - 2).\nAnswer: 378*p**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 1 greater than or equal to 17\/76470?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is greater: -3304 or -3308?\nAnswer: -3304","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let k(i) be the second derivative of -i**4\/36 + 467*i**3\/18 - i + 126. Let k(u) = 0. What is u?\nAnswer: 0, 467","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the distance between 36 and 1.74?\nAnswer: 34.26","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 10 - -423032?\nAnswer: 423042","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let f(o) = -5*o**2 - 10*o + 10. Let s(c) = c**3 - c**2 + c. Let w(t) = -f(t) - 5*s(t). Factor w(i).\nAnswer: -5*(i - 2)*(i - 1)*(i + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor t**3\/2 - 116083*t**2\/4 - 870735*t\/4.\nAnswer: t*(t - 58049)*(2*t + 15)\/4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -2762269*c**4 + 682569*c?\nAnswer: -33147228*c**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is 27 minutes after 12:43 AM?\nAnswer: 1:10 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let j(g) = -g**3 + 2*g**2 + 3*g + 4. Let o = 9 + -6. Let z be j(o). Suppose z*f = 12, -5*m - 7 = -2*f - 21. What is the remainder when 15 is divided by m?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 2 and 20642.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 5218 and 16?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*m = -m. Let a(o) = o**2 + 5*o + 12. Let j be a(m). Suppose 5*i - 58 = -2*w + w, 2*i = -2*w + 100. What is the highest common factor of j and w?\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 2?  (a) -0.4  (b) 94  (c) -5  (d) -5\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (1\/(-2))\/(3\/(-24)). Suppose i - 6*i - 43 = -3*v, 0 = 3*v + w*i - 79. Is v prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (5*y - y - 2*y)*(36 + 37 - 32) + 4*y + y - 3*y.\nAnswer: 84*y","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -11 + 12. Let o = -5450\/209 - -492\/19. What is the nearest to v in -1, 13\/6, o?\nAnswer: 13\/6","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -m = 4*m. Suppose m = 5*t + y - 11, t - 3*y = -2*t + 3. Suppose -2*i = t*f - i - 21, 17 = -f + 5*i. What is the units digit of f?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*c + 4 = -a, 0 = -2*a + 7*a + 2*c - 28. Suppose -a*t + 4*n = -8, -6 = -3*t - 5*n + 4*n. Solve t = 5*d - 3*z + 13, -5*d - 13 = -4*z for d.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -25743 - 90585 = -74*z. Is z a multiple of 14?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 4040000 rounded to the nearest one million?\nAnswer: 4000000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: -2 - 34*(4 - 135\/(-54) - 8\/2)\nAnswer: -87","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(c) = 7*c**2. Let y(h) = -170*h**2. What is y(v(z))?\nAnswer: -8330*z**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let x(d) = d**3 - 19*d**2. Let u be x(19). Suppose u = -2*p - 9 - 3. What are the prime factors of -43*6\/(-3) - p\/(-3)?\nAnswer: 2, 3, 7","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i(a) = 3*a**2 + a - 44. Calculate i(-4).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1026206700?\nAnswer: 2, 3, 5, 17, 311, 647","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -10 + 44*i + 407*i + 8 - 77*i.\nAnswer: 374*i - 2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of -1726*u**6 + 128*u**5 - 830482*u**2 wrt u.\nAnswer: -207120*u**3 + 7680*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a(y) = y**3 - 5*y**2 + 5*y - 2. Let r be a(4). Let g be (11\/r + 2)*2. Suppose 7*n = 2*n + g. Is n a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -5  (b) 3\/8  (c) 0.0427\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 69622569?\nAnswer: 3, 7735841","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -21 - (-28 - (-22 + 8)).\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let s(k) = -k + 13. Is 9 a factor of s(-6)?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 1628904 to the nearest integer?\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 231106040.\nAnswer: 2, 5, 11, 525241","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from klkkklk. What is prob of picking 2 k?\nAnswer: 10\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 94 (base 10) to base 8\nAnswer: 136","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find w, given that -48841*w**2 - 29172*w - 4356 = 0.\nAnswer: -66\/221","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let f(c) = c - 1. Let z(b) = 2*b - 1. Let u(x) = -5*f(x) + 2*z(x). Let i(o) = -4*o + 14. Calculate -3*i(t) + 14*u(t).\nAnswer: -2*t","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let x(t) = 64*t**3 + 59*t**2 + 60*t. What is x(-1)?\nAnswer: -65","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let p = -365 - -293. Let i = -70 - p. Which is the second smallest value?  (a) i  (b) 1  (c) 5\/2  (d) 0.5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(m) = m**2 - 4*m + 8. Let b(u) = u**2 - 12*u + 28. Let n be (((-5)\/2)\/5)\/((-1)\/20). Let a be b(n). Calculate the smallest common multiple of 44 and v(a).\nAnswer: 440","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 13722743?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*b - 6 - 6 = -2*f, -3*b + 37 = 8*f for f.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten thousands digit of 416681745?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 1184?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let a(j) = -4*j**3 + 4*j + 3. What is a(3)?\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((o\/o**(-4))\/(o*(o\/o**(2\/13))\/o))**(-3\/5) assuming o is positive.\nAnswer: o**(-162\/65)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 2 - 5422155545180?\nAnswer: -5422155545178","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let h(q) = -q**2 - 2*q - 8. Let v(u) = -23*u**2 - 12*u - 48. Let f(s) = 6*h(s) - v(s). Let j(c) = 5*c. Determine f(j(o)).\nAnswer: 425*o**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.4115 * -63.9.\nAnswer: -26.29485","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 3186757142?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 100519.\nAnswer: 100519","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 858?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 24 and 5952?\nAnswer: 24","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 62.733902 rounded to two decimal places?\nAnswer: 62.73","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let r(d) = d**3 - 4*d**2 + 4*d - 3. Let q be (-46)\/(-14) - 6\/21. Let g be r(q). Determine o so that g - 1\/5*o**2 + 0*o = 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -21925*m**3 + 21954*m**3 + 7 - 7.\nAnswer: 29*m**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let z(u) = u**2 + 44*u - 755. Determine z(-57).\nAnswer: -14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-4*(((2*sqrt(90))\/sqrt(3) - sqrt(30)) + sqrt(1080)*1 + sqrt(30)))\/(sqrt(30)\/sqrt(3)*-5 - -1*(sqrt(10)*-2 + sqrt(10))).\nAnswer: 16*sqrt(3)\/3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Sum 102081 and -0.3.\nAnswer: 102080.7","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let b be 4 - 0 - (1 + -4). Is 10 a factor of (-242)\/(-8) - b\/28?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = 4*s - 14, -7010 = -q - 4*s. What are the prime factors of q?\nAnswer: 2, 3499","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -0.2  (b) 4  (c) -61  (d) -3\/8  (e) 30425\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*m + 14659 = 3*d, -5*d + 227*m + 24433 = 223*m. What is the tens digit of d?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be -6*-4*(-2)\/(-12). Put 1, m, -6, -3\/4 in decreasing order.\nAnswer: m, 1, -3\/4, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 237197 to the nearest integer?\nAnswer: 62","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of -130, -252, -374?\n\"Answer: -122*s - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 305 a factor of (-807912)\/(-32) + (-156)\/48 + 2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 142283.\nAnswer: 263, 541","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let d = 2134 - 191983\/90. Find the common denominator of d and (-3 + 537\/180)\/(3\/(-16)).\nAnswer: 90","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 0.03 + 4.97. Let y = -217 + 196. Let d = y - -18. Which is the closest to 1\/4?  (a) 1  (b) p  (c) d\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(t) = 3*t**2 + 33*t + 101. What is the tens digit of l(-27)?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 195515801?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 1\/96342  (b) -0.01  (c) -7\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-17 + 16 + 23 - 25 - -129) + 7?\nAnswer: 133","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -5 + 4.8. Let f = -0.3 - g. What is the second smallest value in -1\/4, -1, f?\nAnswer: -1\/4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (w*w**5*w*w)\/(w\/(w**2*w)*w)*w**3*w*w*w**(-2\/9)*(w**0\/w**(1\/6))\/(w**2\/((w\/(w**(-2\/13)\/w))\/w*w)) assuming w is positive.\nAnswer: w**(3221\/234)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_test"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -13  (b) -196  (c) 1\/6\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 26 = t + 4*w, -5*t + 6 = w - 29. Suppose i = -2*f, 3*f - i + 4*i = -t. Suppose v + v = -f. Sort 3, v, 7 in increasing order.\nAnswer: v, 3, 7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -47111.0240102 + 47111. Let a = -0.024 - v. What is a rounded to 6 decimal places?\nAnswer: 0.00001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 20655267 divided by 6.\nAnswer: 6885089\/2","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is 4831 to the power of 1\/10, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-2)\/(-6) + (-7888)\/12. Let h = v - -1127. Round h to the nearest one hundred.\nAnswer: 500","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand 0*q**4 + 3*q**4 - 2*q**2 + 3*q**2 + (2 - 2 + q**3)*(-2*q - q + 2*q).\nAnswer: 2*q**4 + q**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 665775?\nAnswer: 3, 5, 11, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = -5*q**3 - 41*q**2 - 131*q - 71. Let a(u) = -9*u**3 - 83*u**2 - 263*u - 142. Let f(v) = 4*a(v) - 7*b(v). What is the hundreds digit of f(-42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -10*r**2 + 805*r + 405.\nAnswer: -5*(r - 81)*(2*r + 1)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(x) = -7*x**2 - 1. Let v be (1\/(-1)*3)\/(-1). Suppose 0 = n - 2*p + 5, 0 = 6*n - v*n + p + 1. Calculate z(n).\nAnswer: -8","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1471779.773+-3\nAnswer: 1471776.773","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: 1 + -1 + -34 + 12 + 6 + -23 + 13\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*f + 85 = 3*f. Suppose 3*p + 6 = 0, 5*s - 1 + f = -3*p. Is 2 a factor of s + 6 + (-2)\/2?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 0.01 - 2.01. Let v be ((-16)\/6 + -2 + 5)*-9. What is the closest to 0 in h, v, -1?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -0.06097584 + 0.06117. What is x rounded to 4 decimal places?\nAnswer: 0.0002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(x) = 12*x**2 - 3*x - 2. Suppose 4*n = 4*z, -2*n - 2*z - 9 = -7*n. Is g(n) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (g*g**(-1)*g**(2\/9))**(-2\/23)\/(g**(-1\/6)*g\/(g*g\/(g**(-3\/7)\/g))*(g**(-1\/2)\/g)**37) assuming g is positive.\nAnswer: g**(84152\/1449)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange 380*t + 257*t + 295*t - 188*t + 350*t to j + i*t and give i.\nAnswer: 1094","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 8\/(-9)*6 - -6.\nAnswer: 2\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the least common multiple of 18 and 25 - (36\/63 + 2\/((-28)\/(-6)))?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose f - 21 = -2*f + 4*z, -64 = -5*f - 3*z. Let r = 9 + f. Suppose r*s - 15*s - 20 = 0. Solve -2*t = -6*t + s for t.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 86 and 22833.\nAnswer: 43","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let v(r) = 7*r + 6. Let q(b) = 21*b + 18. Let y(f) = -4*q(f) + 11*v(f). Differentiate y(w) with respect to w.\nAnswer: -7","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -4*(1 + sqrt(432)).\nAnswer: -48*sqrt(3) - 4","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -340 = t + 5*b - 345, 2*b - 2 = 0. Sort -33, -5, -3, -11, t.\nAnswer: -33, -11, -5, -3, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(w) = -w**2 + 9*w + 46. Let q be l(-8). Let u = -70 - q. Calculate the least common multiple of 35 and u.\nAnswer: 140","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-46 + 1)*1438511 - (-2 + 9) - -2. Round v to the nearest one hundred thousand.\nAnswer: -64700000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: -517428*5\nAnswer: -2587140","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (30\/35)\/(-3) + 643481991\/3570. Let t = b - 180246. Calculate the common denominator of -13\/14 and t.\nAnswer: 1190","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0 divided by 803?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -9*c**3 + 6*c**2 - 8*c - 3. Let p be y(-8). Let k = p + -1920139\/380. Let f = -9311\/380 + k. Find the common denominator of -79\/2 and f.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*o = 2*w - 2 - 55, 25 = 2*o + 3*w. Solve 4*s + 15 = c, 7*c - o*c + 5 = -5*s for s.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -4901 + 109715?\nAnswer: 104814","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of 10596209 and 552409.\nAnswer: 116558299","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is the eighth root of 3887 to the nearest integer?\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let n(f) = 2*f - 6. Let z be n(4). Suppose s = -0 + z. Solve 2*b - b = s for b.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-9 - (8 + (-8 - -1)) - 7) + -9.\nAnswer: -26","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (2 - 2 - 2*s**4)*(-3 - 3 + 3) + 15*s**3 - 2*s**4 - 45*s**2 - 13*s**3 + 41*s**2 to u + n*s**3 + z*s**2 + f*s + q*s**4 and give q.\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -21\/197 - -3233\/6304. Calculate the common denominator of l and -71\/56.\nAnswer: 224","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -13, 0, 191, 3 in decreasing order.\nAnswer: 191, 3, 0, -13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5 - 6. Let i = -77.18 - 1.32. Let j = 78 + i. Are p and j equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {p: 5, g: 1, a: 5}. What is prob of sequence ag?\nAnswer: 1\/22","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-c - 659 + 1153 - 2056)*(-4*c**4 + 4*c**4 - c**4).\nAnswer: c**5 + 1562*c**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is -13.229640106 rounded to 2 dps?\nAnswer: -13.23","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 37\/5?  (a) -4  (b) -2\/9  (c) -2\/5\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose y**5\/4 + 3*y**4\/2 + 3*y**3\/2 - 4*y**2 - 15*y\/4 + 9\/2 = 0. What is y?\nAnswer: -3, -2, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 32*m - 19*m - 39. Solve -4*a + 5*a + m*w = 4, 8 = 2*a + w for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1262255923.\nAnswer: 31, 47, 797, 1087","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Does 2 divide 1009?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 - -32. Is 8 a factor of x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be (8 + (-58)\/8)*-4. Sort 7, 1, r in decreasing order.\nAnswer: 7, 1, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -1795429.614 to the nearest one hundred thousand.\nAnswer: -1800000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-7)\/5 - -1 - (-2)\/5. Solve z = -3*c + 3*p + 6, -3*c - 2 = 2*c - p for c.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u(x) = -x**2 + 11*x + 31. Let i be u(13). Suppose 4*r - 4*f = 28799988, f = -r + i*r - 28799997. What is r rounded to the nearest 1000000?\nAnswer: 7000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(z) = -z**2 + 7*z - 5. Let i(w) be the first derivative of w**3\/3 - 4*w**2 + 14*w - 135. Let o be (-6)\/2 - (-4 - 6). Let r be i(o). Determine n(r).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -39\/5 - -8. Let w(c) be the first derivative of -1 + i*c**2 + 0*c + 2\/15*c**3. Factor w(o).\nAnswer: 2*o*(o + 1)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((sqrt(275)*2)\/sqrt(11))\/(sqrt(20)\/(4*sqrt(4))))**2.\nAnswer: 320","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i = -7729 + 7725. What is the closest to i in -0.9, 0.4, -0.08?\nAnswer: -0.9","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor y**2 + 1697*y.\nAnswer: y*(y + 1697)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 160 and 7340.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Put -5, -1.9, 4\/13 in ascending order.\nAnswer: -5, -1.9, 4\/13","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Solve 297*s - 1098 = 81*s + 846 for s.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let x(y) = 5*y - 36. Let m be x(8). Solve -7*a = 5*h - 4*a - 23, m*a + 16 = 5*h for h.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -275?  (a) 4  (b) -5  (c) -18\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the tth term of 1177, 2353, 3529, 4705?\n\"Answer: 1176*t + 1","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is (56\/(-12) + 5)\/(2\/93570) composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1271, -9173, -30575, -72227, -140879, -243281, -386183?\nAnswer: -576335","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 4246 and 319?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 81 + -14. Let a = y + -76. Is (-18885)\/a + (-8)\/(-12) composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 21\/5 of a kilogram in grams?\nAnswer: 4200","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(v) be the second derivative of 152*v - 9*v**2 + 0 + 0*v**3 + 151\/20*v**5 + 0*v**4. Find the first derivative of g(l) wrt l.\nAnswer: 453*l**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the fifth root of 15054862 to the nearest integer?\nAnswer: 27","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.026155464 rounded to 4 decimal places?\nAnswer: 0.0262","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 2039855055.\nAnswer: 3, 5, 7, 2775313","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from cooocooooo. What is prob of sequence cooo?\nAnswer: 2\/15","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 67503 is divided by 608?\nAnswer: 15","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 21827 is divided by 111?\nAnswer: 71","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h(a) = 6*a. Let b(n) = 1073*n**2. Determine h(b(j)).\nAnswer: 6438*j**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 6, 50, 168, 396, 770, 1326, 2100, 3128?\nAnswer: 4446","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 7 - 7.08. Let f = y - 0.92. Let a = 0.1 - 0.2. Is f < a?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b(i) be the second derivative of -2*i**3 - i. Let f(o) = 2596*o - 2596*o - o**2 - o**2. Calculate b(f(p)).\nAnswer: 24*p**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let u(g) = 2*g**2 - 7764*g + 6761191. Calculate u(1319).\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b*b**0)**33\/(b**2\/b)**(3\/5) assuming b is positive.\nAnswer: b**(162\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Is 217723213 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 7272805?\nAnswer: 5, 43, 33827","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*f - 140 = 7*f. Let s be f\/4 + (-2 - -9). Suppose 0 = s*q - 308 - 138. List the prime factors of q.\nAnswer: 223","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = -267*n + 842*n - 17289 - 8586 for n.\nAnswer: 45","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 350198626?\nAnswer: 2, 79, 197, 11251","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of 676, 658, 640, 622, 604, 586?\n\"Answer: -18*c + 694","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let j(b) = -7*b. Let v be j(-4). Let t be (-1)\/(-4) + 105\/v. List the prime factors of 42\/t + (-7)\/14.\nAnswer: 2, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) be the third derivative of a**5\/12 - 235*a**4\/6 - 640*a**3 + 2103*a**2 - a. Solve g(i) = 0 for i.\nAnswer: -4, 192","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: 57 divided by 19\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify 3 + (sqrt(2448) - (sqrt(2448) + -3)*4 - (-3*sqrt(2448) + -1))**2.\nAnswer: 172","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What is -3 divided by 396782?\nAnswer: -3\/396782","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -t - 2*t = 5*x - 31, 5*t = 3*x + 29. Calculate the greatest common factor of t and 56.\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -76 >= -76?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:42 AM and 5:53 PM?\nAnswer: 611","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -5, -6, -26 in decreasing order.\nAnswer: -1, -5, -6, -26","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is -556 smaller than 2343?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1119 + 1144 = -255*g + 10990 for g.\nAnswer: 43","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let u be (-1 - 0)*-38 - 2. Let i be 1 + (u\/(-14) - -1). Let w = 23\/6 - 7\/2. Which is the biggest value?  (a) 1  (b) i  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 6\/5 of a decade in years?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Divide 1565 by -5.\nAnswer: -313","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(4320) + (sqrt(4320)*-2 - sqrt(4320)) - sqrt(30))*-3)\/(-2*sqrt(70)\/(1*sqrt(7))) + -2.\nAnswer: -75*sqrt(3)\/2 - 2","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -689003, -1378007, -2067011, -2756015, -3445019, -4134023?\nAnswer: -4823027","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let t(w) = -3*w - 13. Let i be t(0). Let l = 13 + i. Suppose -g = -l*a - 3*a - 410, -3*g + 4*a + 1225 = 0. Is g prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -391960*m + 195991*m + 195975*m.\nAnswer: 6*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of -4, -41, -110, -217, -368?\n\"Answer: -k**3 - 10*k**2 + 7","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Differentiate t**3*u**2 - 1784*t*u**2 + 3035*u**2 wrt t.\nAnswer: 3*t**2*u**2 - 1784*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let a be 5740080\/(-30)*((-7455)\/30 + 6\/(-4)). Round a to the nearest one million.\nAnswer: 48000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3778 is divided by 60?\nAnswer: 58","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 2266579894?\nAnswer: 2, 1133289947","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0.08?  (a) 0.5  (b) 1\/4  (c) 68\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Is 201389 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 603.35 + -604. Which is the closest to 0?  (a) x  (b) -1  (c) -5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (y*y*y**(-20))\/(((y*y**(-10))\/y)\/y) assuming y is positive.\nAnswer: y**(-7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 288 and 558?\nAnswer: 8928","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 116 bigger than 118?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 161378, 322764, 484150, 645536, 806922?\nAnswer: 968308","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -6 = -18*h - 6 for h.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 693 a factor of 6512628?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 3*i - i = 11, 3*q - 5*i - 11 = 0. Suppose q*l = 2*l + 15. Let 2\/7*k**5 + 0*k**2 + 2\/7*k**l + 0 + 0*k - 4\/7*k**4 = 0. What is k?\nAnswer: 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(u) = -4 + 2*u + 1 + 20*u + 2. Let z be l(3). Let p = z + -127\/2. Which is smaller: p or 2?\nAnswer: p","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 50*u - 11073 = 48*u + 5*y, 27615 = 5*u + y. What is the hundreds digit of u?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -26 - -4. Let w = -22 - f. Factor -1\/3*d**5 + w*d**4 + 0 - 1\/3*d + 0*d**2 + 2\/3*d**3.\nAnswer: -d*(d - 1)**2*(d + 1)**2\/3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 8137062?\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let j = -76.96 + -1.04. Let h = 21 + j. Let d = -52.8 - h. Round d to 0 decimal places.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(o) = 30 + 18*o - o - 7 + 3*o + 24. Let k be z(-2). What is the greatest common divisor of k and 420?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put together 582816 and 0.\nAnswer: 582816","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -6*n + 3*n + 3*n + 12 - 3*n. Give i(6).\nAnswer: -6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 810466 to the nearest integer?\nAnswer: 93","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Suppose q + 12 + 16 = 0. Let i = 72 + q. Suppose -6*k = -i - 46. Solve s = -4*s - k for s.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: 79704840 divided by 3512\nAnswer: 22695","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -129 divided by -5016.\nAnswer: 43\/1672","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 17238 a multiple of 51?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 5265*t**2 - 21851?\nAnswer: 10530*t","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Is 51608 a multiple of 12?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 3665, 7378, 11091, 14804, 18517?\nAnswer: 22230","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 32510 and 2480.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 504\/(-728)*(-112)\/(-2520).\nAnswer: -2\/65","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = 254*o + 4304. Calculate d(-10).\nAnswer: 1764","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) -3\/2  (b) -2\/3  (c) 0.4  (d) 4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 450603460.\nAnswer: 2, 5, 1303, 17291","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1.2, -1.7, -11\/7, -2.8 in ascending order.\nAnswer: -2.8, -1.7, -11\/7, 1.2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1614?\nAnswer: 2, 3, 269","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: 52 - (-2 + -1) - 12 - -11 - 9\nAnswer: 45","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 205.1 - 205. Are 174\/7 and w nonequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 17335 divided by -3467?\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let b be (-356)\/(-801)*1\/2. Sort b, 0.059, -0.3, -0.4 in ascending order.\nAnswer: -0.4, -0.3, 0.059, b","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from aasmaam. Give prob of picking 2 m, 1 a, and 1 s.\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let b(u) be the third derivative of u**5\/60 - u**4\/4 - 5*u**3\/6 + 2*u**2. What are the prime factors of b(9)?\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n(s) = -s**3 + 2*s**2 + 5*s. Let f be n(4). Is -11 at least f?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g = -41.57 - -28.932. Round g to 1 decimal place.\nAnswer: -12.6","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Are -6\/19 and -23.53 unequal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-6 - 9) + 5 - -9.\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 17\/30115 or 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let g(b) = b - 6. Let x(o) be the second derivative of -o**3\/3 + 20*o. Let n be x(-7). Let d be g(n). Solve d = -4*v + 2*v for v.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*p**2 - 6*p**2 + 3 - p**2 - 2*p)*(-3*p**2 - 2*p**2 + p**2).\nAnswer: 4*p**4 + 8*p**3 - 12*p**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve -22*l - 5*l + 135 = 0 for l.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let q(x) be the first derivative of -19 + 0*x**2 + 0*x - 1\/6*x**3. Factor q(z).\nAnswer: -z**2\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -530?  (a) 0.5  (b) 5  (c) -17  (d) 1\/5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is -396843629121 - 0.1?\nAnswer: -396843629121.1","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:29 AM and 7:07 AM?\nAnswer: 158","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Factor -3*p**3\/7 - 2385*p**2\/7 + 12*p\/7 + 9540\/7.\nAnswer: -3*(p - 2)*(p + 2)*(p + 795)\/7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Calculate ((-321)\/1177)\/(((-3)\/(-5))\/(6\/(-45))).\nAnswer: 2\/33","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let h(s) be the first derivative of -7*s**5 - 115*s**4\/4 - 10*s**3 + 202. Factor h(v).\nAnswer: -5*v**2*(v + 3)*(7*v + 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.1, 64\/137, 0.34, 4 in decreasing order.\nAnswer: 4, 64\/137, 0.34, 0.1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1792.47 months to centuries.\nAnswer: 1.493725","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let u = 87 + -55. Let a = u - -6. Calculate the smallest common multiple of 20 and a.\nAnswer: 380","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Divide 234 by 13.\nAnswer: 18","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let n(y) = y**3 + 17. Let q(o) = 3*o - 24. Let b be q(8). Determine n(b).\nAnswer: 17","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 1977155 and 340?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1\/18*(-2289)\/7630)\/((-12)\/(-15))?\nAnswer: -1\/48","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -1 + (((-2*sqrt(1008))\/(-1*sqrt(900)))**2 - (sqrt(49)\/(sqrt(7)*-3) + 2*(sqrt(7) + -2 + sqrt(7)))).\nAnswer: -11*sqrt(7)\/3 + 187\/25","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Round 381.2715891 to the nearest one hundred.\nAnswer: 400","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 37.71319 less than -7?\nAnswer: -44.71319","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Solve 2 = -y, y = -9*l + 7*l - 10 for l.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 510 is divided by 8.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 22 and 4609?\nAnswer: 11","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 30.48873um in millimeters?\nAnswer: 0.03048873","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Sum -15.630039 and -9888.\nAnswer: -9903.630039","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Is 147 a factor of 82908?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((v**(1\/28)\/v)\/v)\/v**(-6))**16 assuming v is positive.\nAnswer: v**(452\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let j be 11 + -12 + (-3)\/(-1). Let p be j\/(-5)*-5*1. Find the third derivative of -3*s**3 - s**2 - p*s**2 - 3*s**2 wrt s.\nAnswer: -18","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve b + a = 2, -4*a = -5*b - 2*a + 3 for b.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.0771?  (a) -1\/7  (b) -1  (c) -1\/5\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Expand 2*p**4 - 4*p**4 + p**4 + (0*p + 6*p - 2*p)*(p**3 + 0*p**3 - 4*p**3) + 3*p**4 - 2*p**4 + 0*p**4.\nAnswer: -12*p**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 510 divided by 85.\nAnswer: 6","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in one twentieth of a litre?\nAnswer: 50","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: 405 divided by 71\nAnswer: 405\/71","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*t = 15*o + 40, t + 1089 = -2*o + 1085 for t.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 3\/3610 in 1, 72, -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 11705 is divided by 1059?\nAnswer: 56","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 28481, 28493, 28505?\nAnswer: 28517","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*m + 0*h + 154 = h, 68 = 2*m + 2*h. Let t be m\/(-40) - 2286\/(-8). Suppose 16*q - q - t = 0. Solve 2*l + q = -5*o, -5*o - 4 - 13 = l for o.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 0.0220793724 rounded to two decimal places?\nAnswer: 0.02","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Solve 14*u - 64*u + 20*u - 208 = -38*u for u.\nAnswer: 26","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand (3*b**5 + 0 + 0 + (4 - 2*b**3 - 4)*(-2*b**2 - b**2 + 2*b**2) - 3*b**2 + 3*b**2 + 2*b**5)*(67 + 279 + 16).\nAnswer: 2534*b**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 13413 is divided by 85.\nAnswer: 68","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is 4*330\/4284 + (-242)\/2057?\nAnswer: 4\/21","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let j(u) = u**3 - u**2 + 7. Suppose 0*c = 5*c. Give j(c).\nAnswer: 7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let n = -155 + 144. Let m(g) = -3*g + 6. Let i(r) be the third derivative of -r**4\/24 + r**3\/3 - 5*r**2. What is n*i(w) + 4*m(w)?\nAnswer: -w + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 1:08 PM and 5:17 PM?\nAnswer: 249","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*i - 35 = 5*g, 7*g - 3*g = -3*i - 7. Suppose i*z - 4*z = -c + 5, -3*z + 5 = c. Suppose 2*t - c = -5*w, 0 = -4*t + w + 18 + 3. Solve n + t = -0*n for n.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(c) = c - 33. Let h(o) = 27*o**2 + 2222*o + 1. Give k(h(g)).\nAnswer: 27*g**2 + 2222*g - 32","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest common multiple of 14161600 and 530?\nAnswer: 14161600","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: What is 3.535 rounded to one dp?\nAnswer: 3.5","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 351 + -218. Is 3 a factor of b?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find d, given that -d**2\/8 + 31*d\/4 + 51 = 0.\nAnswer: -6, 68","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 7 + -7.5. Let k = 14016 + -14016. Suppose g + 3*g = 8. Sort g, k, p in descending order.\nAnswer: g, k, p","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -1 - 4412?\nAnswer: -4413","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*n**2 + 2*n - 2*n)*(-n**2 + 4 - 4) + 2*n**4 + 3*n**4 - 3*n**4 - 9*n**4 + 3*n**4 - 9*n**4 + (-2 + 3*n + 2)*(3*n**3 - 7*n**3 + 3*n**3).\nAnswer: -14*n**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is (-1)\/(1293\/(-2155)*25*(-2)\/6)?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is seven eighths of a milligram in micrograms?\nAnswer: 875","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 160 in 4, 5, 0.06, -0.7?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the cube root of 789649 to the nearest integer?\nAnswer: 92","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let b(q) = q. Let t(d) = -11*d**2. Let p(f) = -12*f**2. Let s(n) = 6*p(n) - 7*t(n). Calculate b(s(a)).\nAnswer: 5*a**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Is 79 a factor of 34160469?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: 1376 divided by 32\nAnswer: 43","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let w(t) = 6*t**3 + 4*t**2 - 11*t - 4. Let l(f) be the third derivative of -f**6\/24 - f**5\/20 + 5*f**4\/12 + f**3\/2 + 105*f**2. Calculate 4*l(s) + 3*w(s).\nAnswer: -2*s**3 + 7*s","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: 49131.495*-0.1\nAnswer: -4913.1495","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Sort -6, 5, -114869.\nAnswer: -114869, -6, 5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let a(f) = -2*f. Let d(o) = -178*o + 1. Calculate d(a(r)).\nAnswer: 356*r + 1","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -477*q - 92 = -431*q for q.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Is 88192757 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Is 8809 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-5)\/15*3 + -2. Sort v, -2, 2 in decreasing order.\nAnswer: 2, -2, v","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(g) = -g**2 - 4*g + 6. Let h be a(-5). Let s(n) = -11*n + 5*n**2 + 9*n + 4 - 2*n. Let o(q) = -1 + 0*q + 0*q + q - q**2. What is h*s(c) + 4*o(c)?\nAnswer: c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put -32, 0, -2 in descending order.\nAnswer: 0, -2, -32","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -87.2 times -0.2?\nAnswer: 17.44","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let w(g) be the third derivative of -9*g**4\/8 - 83*g**3\/3 - 59*g**2 - 1. Let l be w(-6). Let t(y) = -3 - 3*y + 3 - 3 - y**3 - 3 - 5*y**2. Determine t(l).\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q(u) = 3*u**2 - 6*u. Let y(z) = -3*z - 1. Suppose 3*t = -4*f - 22, 0*t - 10 = -5*t + 5*f. Let n be y(t). Is 15 a factor of q(n)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -2130.13351 to the nearest ten thousand.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v - 68397 = 4*q, 13*v - 10*v - 5*q - 41046 = 0. What are the prime factors of v?\nAnswer: 3, 47, 97","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 1887*d - 1900*d + 130 = 0 for d.\nAnswer: 10","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Put -8, 307, -3, 2, 0 in decreasing order.\nAnswer: 307, 2, 0, -3, -8","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (48\/(-120))\/(38*1\/5).\nAnswer: -1\/19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -1 in -2\/17, 3, 0.06, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 3*j - 9, 3*j = -5*l + 60. Suppose -l = 2*x - 91. Let m(n) = x - 2*n - 41. Let w(r) = 2*r**2. Calculate m(w(y)).\nAnswer: -4*y**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*f + 2*n = -f - 18, 2*n = 5*f - 21. Let k be (6\/f)\/((-4)\/(-6)). Solve 2*r = k*r + 1 for r.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -4, 6, 1, 14, 8 in ascending order.\nAnswer: -4, 1, 6, 8, 14","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: -4199 divided by 2397\nAnswer: -247\/141","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 10*2*24\/(-80).\nAnswer: -6","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(i) be the third derivative of -i**4\/3 + 17*i**3\/3 - 20*i**2. Let b be v(4). Suppose -u + 4*z + 4 = 0, -2*u = 3*u - b*z - 2. Solve 5*d + 14 - 4 = u for d.\nAnswer: -2","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p be ((-312)\/182)\/(19\/7 - 3). Sort p, -1, 0, 17 in descending order.\nAnswer: 17, p, 0, -1","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence pe when two letters picked without replacement from {p: 1, e: 1, x: 2}.\nAnswer: 1\/12","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let g(f) = f**3 - 9*f**2 + f - 1. Let s be g(8). Suppose 0 = -2*d - 4*q - 92, 3*d - 5*q = 40 - 233. Which is smaller: d or s?\nAnswer: s","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(720)*-3)**2 + -2 + (sqrt(720) + -4*sqrt(720))**2 + 1 + 4)*2.\nAnswer: 51846","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Is 68893 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is 100\/175 + (-565)\/(-175) + -4?\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence zzwx when four letters picked without replacement from xzdzdiddwxxu?\nAnswer: 1\/1980","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is -21 (base 3) in base 6?\nAnswer: -11","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -1174.4 - -1174.400019897. Round z to 6 dps.\nAnswer: 0.00002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = -8 - -3. Let b be (3\/(-4))\/(3\/(-12)). Let q(o) = o**3 - o + o + 3 + 0*o**b + o + 5*o**2. Calculate q(x).\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 5534?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Work out 141759461498 + 0.\nAnswer: 141759461498","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let p(a) = a + 10. Let r be p(-8). Let y(b) = -2 + 2 + 3*b - r*b. Let j(g) = 2*g - 3*g + 2*g. Calculate j(y(d)).\nAnswer: d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(13) - (1 + sqrt(117)))**2 + 4.\nAnswer: 4*sqrt(13) + 57","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the wth term of -8710, -34840, -78390, -139360, -217750, -313560?\n\"Answer: -8710*w**2","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ith term of -12308856, -24617723, -36926590?\n\"Answer: -12308867*i + 11","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1026 a multiple of 106?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let k = -83 - -82. Let f = 2\/9595 + 249416\/259065. Calculate the common denominator of f and (k\/30)\/(1\/(-58)).\nAnswer: 135","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((i**(7\/2)\/i)\/(i\/i**(-2\/3))*i**(-1\/5)\/i**(-4))**(2\/75))**(-16) assuming i is positive.\nAnswer: i**(-2224\/1125)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: (-2016)\/(-140)*((-190)\/20 - (-8 - -1))\nAnswer: -36","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -2 in -1, 1\/9, -132, 0.06?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Convert -1c6613 (base 16) to base 5.\nAnswer: -434024024","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 e when two letters picked without replacement from levllvel?\nAnswer: 1\/28","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 1607995336 to the nearest integer?\nAnswer: 34","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 y when two letters picked without replacement from {k: 7, y: 9}?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: -3599 (base 12) to base 14\nAnswer: -22a1","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of -5 - -5 - (7 - (8 + -4))?\nAnswer: -3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*n = 5 - 17. What is the hundreds digit of (1 + n - 8) + 447?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 1731.\nAnswer: 3, 577","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 1\/4?  (a) -3  (b) -10  (c) 10  (d) -0.4  (e) 90\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -1273, -2086, -2899, -3712?\nAnswer: -4525","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3*(sqrt(7) - sqrt(28)\/sqrt(4)) + -1)**2.\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 19.609 + -1.799. Let x = -16 + -2. Let f = x + s. Round f to one decimal place.\nAnswer: -0.2","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 5*r - 8*r - 11*r.\nAnswer: -14*r","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let b(g) be the second derivative of 1\/5*g**5 + 0 - 13\/4*g**4 + 0*g**3 - 20*g + 0*g**2. Find the third derivative of b(c) wrt c.\nAnswer: 24","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence llxx when four letters picked without replacement from lxlxxlllll?\nAnswer: 1\/20","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*p - 8 = 4*a, 0 = p - 2*a - 17 + 4. Suppose -l = p - 13. What is the units digit of l?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*q - 14*u = -11*u - 3639, 5*q - 3651 = 3*u. Is 12 a factor of q?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -0.03 - 0.47. Let s = 11\/248 - 13\/31. Let m = s - -7\/8. Which is the smallest value?  (a) 2  (b) m  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 40 and 31180.\nAnswer: 20","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -71*i - 19 = -76*i - 3*w, 2*i = -5*w. Put 31, -6, -3, i in decreasing order.\nAnswer: 31, i, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-1)\/2*7 + 4)*-16?\nAnswer: -8","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 101 a factor of 3097468?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 6*d**2 - 7*d - 7. Let p be y(4). Let t be ((-14)\/7)\/(2 - (-189)\/(-93)). Is t less than p?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of ((-30)\/(-18)*42\/(-4))\/((-173)\/(-692))?\nAnswer: -70","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*d + 32 = -d. Suppose -c + 4*q + 7 = -18, 4*q + 20 = 0. Suppose a - c = d. Is a a multiple of 13?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -9*x + 38 = 11. Is x + 1 + (-9 + 10)*3759 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the kth term of 10, 2, -8, -20, -34?\n\"Answer: -k**2 - 5*k + 16","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 46 and 3903422.\nAnswer: 46","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -3  (b) 0.3  (c) 8  (d) 0.1  (e) 5  (f) -78  (g) 1\/3\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the third derivative of 0 - 1\/240*k**6 - 1\/6*k**3 + 1\/48*k**4 + 19*k**2 + 1\/60*k**5 + 0*k. Factor h(a).\nAnswer: -(a - 2)*(a - 1)*(a + 1)\/2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(i) = 74*i**2 - 26*i. Calculate the smallest common multiple of 18 and x(-2).\nAnswer: 1044","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -7*s - 29*s = 617 - 149 for s.\nAnswer: -13","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Expand 6*g - 3*g + 5*g + 2*g - 4 + 4 + (2 + 1 - 5)*(-g + g + 2*g) + 3*g + 0*g - 5*g.\nAnswer: 4*g","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let s = 1957\/140 - -132\/35. Calculate the common denominator of s and (-108)\/(-22) + (-1)\/2.\nAnswer: 44","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be -8*(0 - 1\/2). What is the second derivative of -w*p**3 - 4*p**4 + 4*p**3 - p wrt p?\nAnswer: -48*p**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 4177 is divided by 19?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of -41\/6004 and -47\/10.\nAnswer: 30020","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Is 18038 a multiple of 29?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 12638085 is divided by 82?\nAnswer: 81","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 0 - 3 - (-18 + 8 + 8)?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -41 - 23044?\nAnswer: -23140","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let i(h) = h**2 - 283*h + 20185. What is i(134)?\nAnswer: 219","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 290 and 1740?\nAnswer: 1740","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let g(n) = 0 + 104*n + 8 - 5 + 108*n - 219*n + 4*n**2. Let k(i) = -2*i**2 + 4*i - 1. Determine 2*g(u) + 5*k(u).\nAnswer: -2*u**2 + 6*u + 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -0.01  (b) -0.2  (c) 1\/2  (d) -34\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -1\/69?  (a) 1\/4  (b) -1\/2  (c) 1\/2\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let l(a) = 81*a - 8101. What are the prime factors of l(126)?\nAnswer: 5, 421","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 36 = -191*q + 200*q. Suppose 0 = r - q*u - 10 - 1, -75 = -3*r - 2*u. What is the remainder when 85 is divided by r?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x(q) = 601*q - 2914. Let s be x(6). Are s and 693 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(j) = j**2 - 2*j - 4. Let d be m(4). Let g be (-2)\/2*2\/(-1). What is the derivative of g*t + d*t + 6*t - 10 wrt t?\nAnswer: 12","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*x = -4*o, -5*x + 3*x + 28 = -4*o. Let w be 5 - x*(-6)\/(-8). Solve -4 = -4*r, 5*n + w*r - 24 = 3*r for n.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 5776 and 32?\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the nth term of -12855, -12861, -12869, -12879, -12891, -12905, -12921?\n\"Answer: -n**2 - 3*n - 12851","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*x - 4*z - 2 = 0, -11 + 42 = 5*x + 3*z. Suppose x*m = -4*n + 48, m + 36 = 3*n - 0*m. What is the greatest common factor of 6 and n?\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 1419294169 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-3)\/(1\/4 - 1). Let j be (-3 - -1 - -4)*(-3 - 28). Let d = j + 66. Calculate the highest common divisor of d and w.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) be the third derivative of -1\/6*o**4 + 2*o**2 + 0*o**3 + 0 + 0*o. Let f(j) = 7179*j - 14350*j + 7173*j. What is f(y(d))?\nAnswer: -8*d","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve -5*k + 212 = -r + 184, k - 5*r - 68 = 0 for k.\nAnswer: 3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: What is the product of 5 and -2181?\nAnswer: -10905","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Add 0.0672 and -18493.\nAnswer: -18492.9328","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -138\/7 - -697\/35. Which is the second biggest value?  (a) -2  (b) 4  (c) w  (d) 1\/3\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common divisor of 3467179 and 104624?\nAnswer: 503","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the square root of 276004957 to the nearest integer?\nAnswer: 16613","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -1127.6 + 1128. Which is the second biggest value?  (a) 0  (b) w  (c) -618\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many micrograms are there in 5.651152 milligrams?\nAnswer: 5651.152","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 4*k**5 - 4*k**3 - 567*k**2 - 50039*k wrt k.\nAnswer: 80*k**3 - 24*k - 1134","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (6\/(-8))\/((-99)\/24)?\nAnswer: 2\/11","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let r(z) = -7*z**3 + 9*z**2 + 15*z + 16. Let a(s) = 23*s**3 - 27*s**2 - 45*s - 49. Let h(f) = -4*a(f) - 13*r(f). Calculate h(-7).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*m = y - 0*m, 4*y + 4*m = 0. Let d(u) be the second derivative of -1\/6*u**3 - 4*u + 0*u**2 + y. Let i(b) = -10*b. Calculate i(d(p)).\nAnswer: 10*p","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Solve 308*h + 59*y + 391 = 311*h + 105, 2*y + 4 = 0 for h.\nAnswer: 56","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(f) = -17*f + 3 + 11*f + f**3 + 6*f + 4*f**2. Let k be p(-4). Solve -k*v = v for v.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: 48557 or 48556?\nAnswer: 48556","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to -1.1 in -1, 5, 0.1, -3\/2?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -50*q = 5*l - 48*q - 24, 4*l - 4*q + 20 = 0 for l.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Is 50 a factor of 168900?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from utuuttl. Give prob of picking 1 l and 2 t.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the highest common factor of 35321428 and 32?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of 9*q + 0*q + 8*q**2 + 194 - 26*q**4 + 21*q - 27*q wrt q?\nAnswer: -312*q**2 + 16","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(w) = 11*w + 15. Let z be o(-7). Let k be 5\/(-15) - z\/6. Find the common denominator of (-1)\/(-2) - (-16)\/k and 117\/10.\nAnswer: 10","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (d**2*d*d\/(d*d*d*d**(-5)*d*d*d))**(-26\/9)*(d**(-2\/5)\/d**(-1\/4))\/(d**(1\/3))**(3\/5) assuming d is positive.\nAnswer: d**(-541\/60)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the biggest value in 0.8, 2, 56, 0.1, 1\/2?\nAnswer: 56","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Round -2306.47 to the nearest 100.\nAnswer: -2300","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Is 140 a factor of 105975800?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 3173692741?\nAnswer: 89, 35659469","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 5 - (17 + -46 + 18).\nAnswer: 16","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1353809 is divided by 46.\nAnswer: 29","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Solve -h - 58 = -2*x, 1716*x + 3*h - 116 = 1712*x for x.\nAnswer: 29","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let p(t) = 854*t**2 + 5*t. Let j(d) = -32880*d**2 - 192*d. Give -5*j(n) - 192*p(n).\nAnswer: 432*n**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-8 - 61 - -35)\/(-2).\nAnswer: 17","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 5.04 + -0.04. Which is the closest to 2\/9?  (a) 0  (b) -5  (c) y\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3*789.\nAnswer: -2367","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let b(x) = -x**2 - 6*x + 24. What is b(3)?\nAnswer: -3","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let l(s) be the first derivative of s**3 - 6536. Let h(r) = 2851*r. Calculate h(l(f)).\nAnswer: 8553*f**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let o(i) = 4*i - 28. What is o(9)?\nAnswer: 8","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Solve -1 = -z - 2*t, 4*z + 10*z - 7456*t = -7453*t + 138 for z.\nAnswer: 9","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*s + 113 = 493. What are the prime factors of s?\nAnswer: 5, 19","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1.68074207 rounded to 2 decimal places?\nAnswer: 1.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4 = -m - 0. Let c(o) = -6*o**3 - 4*o - 5. Let n(a) = 5*a**3 + a**2 + 4*a + 5. Let f(w) = 4*c(w) + 5*n(w). Give f(m).\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(h) = -h**2 + h + 1. Let l = -11 + 10. Let g be (2\/l*1)\/(-6 - -8). Let j be o(g). Is -2\/19 > j?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 71080?\nAnswer: 2, 5, 1777","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 1419?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*v + 15 = -5*r, v + 1 = 4*r + 8. Which is the second smallest value?  (a) -0.1  (b) -119  (c) r\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.0313876 to 4 dps.\nAnswer: -0.0314","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is 55 divided by -1?\nAnswer: -55","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Is 5680 a multiple of 50?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*g + 2*b = -88, 5*g - 40 = 2*g - 2*b. Calculate the greatest common divisor of g and 112.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 84236832*k**2 - 74029062 wrt k.\nAnswer: 168473664*k","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Sort -0.035, -2\/491, -4, 2 in decreasing order.\nAnswer: 2, -2\/491, -0.035, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to -2?  (a) 2\/3  (b) 2\/5  (c) -44\/7  (d) -2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let j(q) = -q**3 - 5*q**2 - 5*q - 1. Let y be 6\/(-21) - (-234)\/(-63). What are the prime factors of j(y)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h(b) = b**2 + 2*b**2 - 6*b**2. Let l = -47 - -49. Let x(o) = -2*o**2 + 0*o**2 + 3*o**2 - l*o**2. Calculate x(h(y)).\nAnswer: -9*y**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let v be 0\/2 - (13 - 17). Suppose v*k = 7*k. Let n = 0.4 + 0.1. What is the third biggest value in k, n, 1\/9?\nAnswer: k","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 14, what is 8 + 462b7a3?\nAnswer: 462b7ab","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let y(i) = 14*i + 8. Let z(t) = -1. Let k(s) = y(s) + 3*z(s). Let q be k(5). Suppose -2*x = -7*x + q. Does 15 divide x?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z be (-26 + 6)*(10 - -45936). Round z to the nearest 100000.\nAnswer: -900000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(z) be the second derivative of -z**4\/3 - 4*z**3 - 16*z**2 - 56*z - 2. Suppose s(h) = 0. Calculate h.\nAnswer: -4, -2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -671 times -16853?\nAnswer: 11308363","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let k(g) = -5*g**2. Suppose 4 = 2*d + 4*w, 0 = 2*d + 3*w - 1 - 2. Let f(a) be the second derivative of 0 + 1\/6*a**4 + d*a**2 + 0*a**3 + 2*a. Calculate k(f(h)).\nAnswer: -20*h**4","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*r - 1 = 19. Let c = 0 + 1. Put r, -2, c in decreasing order.\nAnswer: c, -2, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -1 + 2 - (-11 - (-1 + -10)).\nAnswer: 1","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*i = -2*b, -2*b + 0*i = -i - 9. Solve -b*x - 3 = -0*x, -4*m = 4*x for m.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -36*g + 37*g = 5 for g.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 13392*g**4 + 3558*g**2 + 4*g?\nAnswer: 321408*g","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:00 PM and 10:50 PM?\nAnswer: 170","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Is 106154 a composite number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {t: 3, l: 1, c: 1}. What is prob of picking 2 t?\nAnswer: 3\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: 14 + (2 - 2) + -4 - (-5 + 17 - 38)\nAnswer: 36","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0*d - 3*d + 4*d)*(-8*d**3 - 19*d**3 - 3*d**3)*(-1 + 1 + 3*d).\nAnswer: -90*d**5","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 17427623 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let m(d) = -d**2 + 7*d - 5. Let k be ((-12)\/(-10))\/(3\/30). Let o be (6\/(-4))\/((-3)\/k). Let u be m(o). Solve 4*j - u = 3 for j.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the lth term of 74, 80, 82, 74, 50, 4, -70?\n\"Answer: -l**3 + 4*l**2 + l + 70","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Convert 101001011101101010 (base 2) to base 5.\nAnswer: 20413314","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Is 1743634 prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (6\/(-15))\/(2\/(-20)) + -7. Which is smaller: l or 12?\nAnswer: l","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(w) be the first derivative of 19*w - 17\/2*w**2 - 3. Let n(b) = -18*b + 19. Let s(r) = 4*n(r) - 5*v(r). What is the first derivative of s(a) wrt a?\nAnswer: 13","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(h) = -h**2 + h - 18. Let o be v(0). Let i be 1*(12\/12)\/(o\/(-4)). Let u = 70 - 421\/6. Do i and u have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common divisor of 3151 and 15481?\nAnswer: 137","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is next in -30482, -30353, -30256, -30191, -30158, -30157?\nAnswer: -30188","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Solve -155*n + 82*n + 77*n = 3*w + 1, 0 = -8*w - 4*n - 32 for w.\nAnswer: -3","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 139\/4?  (a) 360  (b) -2\/11  (c) -0.2  (d) 1\/7  (e) 2\/19\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 2.8 - 3.06. Let f = x + -9.74. Let q = f + 9.98. Round q to one decimal place.\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 7462 a multiple of 26?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Is -6 bigger than -18590\/3933?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 0 in -0.043, -0.5, -1\/346, 2\/3?\nAnswer: -1\/346","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(s) = -s**3 + s. Let u(o) = 55*o + 4. Let c(m) = -69*m - 5. Let a(l) = 4*c(l) + 5*u(l). Calculate -2*a(h) + t(h).\nAnswer: -h**3 + 3*h","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 19601 + 4483 = -54*r. Let w = 470 + r. Let d(a) = a**2 + a + 32. Calculate the least common multiple of w and d(0).\nAnswer: 96","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 46610\/(-531) - 4\/18. Find the common denominator of 61\/45 and t\/(-308) - (970\/693)\/2.\nAnswer: 495","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 41480 is divided by 1185.\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Round -3.35727215 to 2 dps.\nAnswer: -3.36","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Sort 0, 2, -18817.\nAnswer: -18817, 0, 2","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the sth term of 202, 193, 172, 133, 70?\n\"Answer: -s**3 - 2*s + 205","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -3518613, -7037220, -10555827, -14074434, -17593041, -21111648?\nAnswer: -24630255","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Round -6256.1614 to the nearest one thousand.\nAnswer: -6000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Does 25 divide 45507643?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Convert 1.3731615us to hours.\nAnswer: 0.00000000038143375","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the pth term of -490788, -981027, -1471266, -1961505, -2451744, -2941983?\n\"Answer: -490239*p - 549","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -5 + -6 + 2 + 12\nAnswer: 3","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 247 is divided by 66?\nAnswer: 49","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (1 - ((-20)\/36 - -2))*1380\/184?\nAnswer: -10\/3","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let a(z) be the first derivative of z**2\/2 + z - 1. Let c be (0 + -1*1)\/1. Let i(p) = -7 + 0 + 6 - p. Give c*i(l) - 2*a(l).\nAnswer: -l - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is the greatest common factor of 146 and 463988?\nAnswer: 146","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -2 + 3. Let m = -43887636.00000015 + 43887637. Let c = m - w. Round c to seven decimal places.\nAnswer: -0.0000002","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 6 = 2*h + 2*y, 2*h + 3*h + y - 15 = 0. Suppose 0 = h*u + 4*p + 4, -2*u - 2*p = 3*p + 12. Let n = u + -4. Solve -2*g = -6, 0*o - 2*o + 4*g - 8 = n for o.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l(o) = 541*o - 111. Is 57 a factor of l(6)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express 721*u - 439*u - 287*u + 441*u**3 + 0 + 2 as n*u**2 + y*u + o + m*u**3 and give y.\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 25023.\nAnswer: 3, 19, 439","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Express -14479*p**2 + 14398*p**2 - 3 + 3 as k*p**2 + a*p + w and give k.\nAnswer: -81","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundred millions digit of 183703147?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 301260983 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 15, what is c87e84 - -5?\nAnswer: c87e89","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 3 d and 1 x when four letters picked without replacement from dpddxxqkdd.\nAnswer: 2\/21","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let r(h) = -h**2 + 9*h - 13. Let v be r(8). Let s be v\/(-10)*10 + (2 - 2). Let o = 2 - 0. Solve -c - s = -o*c for c.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4*c + 0*c = -136. Suppose 3*j + 84 = 6*j. Suppose 11 - j = -p - 4*x, 0 = -3*p - x + 51. Calculate the highest common divisor of p and c.\nAnswer: 17","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 2009 is divided by 115.\nAnswer: 54","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 3759?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange (-f + 1 - 1)*(5 - 5 - 2*f + (3*f - 2*f + 0*f)*(424 + 360 + 39) + 1 - 1 + f - f - f + 3*f + f + 0*f + 0*f) to the form t*f + y + u*f**2 and give u.\nAnswer: -824","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is 1301130130 - 2?\nAnswer: 1301130123","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let q(k) = k**4 - k**3 + k + 1. Let b(o) = -6*o**3 + 6*o. Suppose 2*d + 2 = 4*d. Let r(m) = d*b(m) - 6*q(m). Differentiate r(w) with respect to w.\nAnswer: -24*w**3","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 10783*z - 20465*z - 3 + 3 + 9799*z.\nAnswer: 117*z","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let i be 86\/258 + ((-1)\/3 - -1). Let b(z) = z. Let p be b(0). Suppose p*c - 8 = -4*c. Solve c*f + i = 3 for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d**(-1\/3)*d*d**(-1))\/(d*d\/d**(-2\/5)*d**(-4)))**(-3\/46) assuming d is positive.\nAnswer: d**(-19\/230)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is 13684.495 rounded to the nearest 10?\nAnswer: 13680","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -1 = 2*x + 9. Let y = -1 - x. Suppose y*j = 3*j + 3*o + 42, 0 = 4*o + 4. Is j prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(l) = 1. Let s(n) = -n - 2. Let m(b) = 3*o(b) + s(b). Let h(y) = -7*y + 8. Let z = -30973 - -30972. Give z*h(k) + 6*m(k).\nAnswer: k - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 6416 + -6411. Let i(l) be the first derivative of 0*l**3 + 14 + 22\/5*l**c + 23\/2*l**2 + 0*l + 0*l**4. Find the second derivative of i(k) wrt k.\nAnswer: 264*k**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*x**3 - 4 + 4)*(-1 + 1 - x) + 6*x**4 - 7*x**4 + 0*x**4 + 2*x**4 + 2*x**3 - 2*x**3 + (-3*x + 2*x - x)*(x**2 - x**2 - 2*x**3).\nAnswer: 3*x**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let m(o) = -o**2 - 23*o + 49. Give m(-25).\nAnswer: -1","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(u) = -4*u + 117. Let h be n(0). Let g = 286 + h. What are the prime factors of g?\nAnswer: 13, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 2.1 in -9, -6\/11, -5?\nAnswer: -6\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(g) = g. Let s(l) = -15*l**2 + 30*l**2 - 12*l**2. Calculate s(t(n)).\nAnswer: 3*n**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 5*t - 0*t, 0 = 2*z - t - 29548 - 851146. Is z a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 3996?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(p) = 6*p**3 - p - 1. Let t be o(-1). Let b be 3\/6*t - 0. Let j(y) = -5*y**2 + 3*y + 4. Let a(d) = -14*d**2 + 8*d + 11. Determine b*a(g) + 8*j(g).\nAnswer: 2*g**2 - 1","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.055353957 rounded to three dps?\nAnswer: -0.055","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-2*h**3 + 14*h**4 + 3*h**3 - 20*h**4)*(0 - h + 0).\nAnswer: 6*h**5 - h**4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Put -1, -2, 0.258 in increasing order.\nAnswer: -2, -1, 0.258","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let p(q) = -q**3 - 214*q**2 - 1869*q - 4906. Determine p(-205).\nAnswer: 14","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2*i - 2*i + 6 = -2*c, 0 = -3*i + c + 7. Solve -1 = -0*a - a - x, i*x = 0 for a.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 526583.\nAnswer: 526583","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let r(t) = 1456*t + 3041. Let h(y) = 291*y + 606. Let p(j) = -11*h(j) + 2*r(j). Differentiate p(w) wrt w.\nAnswer: -289","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 27484579 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is (1 - -2) + -1 + (-21 - -24)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let d(o) = -1620*o + 4850. What is d(3)?\nAnswer: -10","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -3072*b**3 - 924*b**3 - 526*b**3 - 2036*b**3.\nAnswer: -6558*b**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Round 77106 to the nearest 100.\nAnswer: 77100","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 40254?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let l be 3 + (3\/(-7) - 2)*-7. Solve -9*q + l = -14*q for q.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 25 + -28. What is the units digit of (x + 1)*-7*6?\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort 72, 4, 2 in increasing order.\nAnswer: 2, 4, 72","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -135.9 + 136. Are 0.16 and y non-equal?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 30233371?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let p(k) = -k**3 + k**2 - k + 1. Let m(j) = 3*j**3 + 5*j**2 - j + 1. Determine m(c) - p(c).\nAnswer: 4*c**3 + 4*c**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let u(a) = a**2 + a. Let d(f) = -20*f**2 - 8*f - 1. Suppose 3*w = 2*w - 1. Let k(v) = w*d(v) - 6*u(v). List the prime factors of k(-1).\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 5 + -3. Let z = h - 7. Let y be 40\/(-12)*(-6)\/8. Which is the second biggest value?  (a) y  (b) z  (c) 0.5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 e and 2 z when four letters picked without replacement from {x: 1, v: 2, e: 3, z: 4}.\nAnswer: 3\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence ohr when three letters picked without replacement from {w: 1, r: 1, o: 2, g: 4, h: 3}?\nAnswer: 1\/165","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 5 - (-5 - -3 - -2)?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let y(c) = -c. Let s be y(3). Find the common denominator of -93\/4 and (-117)\/s*(-2)\/(-4).\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (-450)\/(-600)*((-80)\/(-6))\/(-4).\nAnswer: -5\/2","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Is 449 a factor of 1297982?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Solve -12 = 3*d - 3*g, 5*g - 27 = -18*d + 16*d for d.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s - 3*t + 39 = -51, -5*t = s - 14. What is the first derivative of 284*a + 292*a - 581*a + s wrt a?\nAnswer: -5","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the closest to 1.2 in 17, 1\/5, 0.36?\nAnswer: 0.36","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is the seventh root of 30496 to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((sqrt(30) + (sqrt(180) + sqrt(180)*3)\/sqrt(6))*-2)\/(sqrt(40)\/((sqrt(288)\/sqrt(6))\/sqrt(12))).\nAnswer: -10*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the uth term of 984285553, 1968571106, 2952856659?\n\"Answer: 984285553*u","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of 46\/45 and -83\/270?\nAnswer: 270","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let c(k) = 98*k**2 + 266*k + 1516. Calculate the remainder when c(-6) is divided by 38.\nAnswer: 28","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o be (582 - 45\/(-9))*(-2)\/2. Suppose -4*t - 2*h = 3446, -5*t + 2*t - h = 2583. Let c = o - t. What are the prime factors of c?\nAnswer: 3, 7, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -54.3 - 3.7. Let s = u + 44.6. Round s to the nearest integer.\nAnswer: -13","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (t\/(t\/((t*t**(-1\/8))\/t*t)*t)*t)**(-33\/4)\/(t**22*t)**(3\/37) assuming t is positive.\nAnswer: t**(-10755\/1184)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 15 + -14.97. Which is the closest to 0?  (a) z  (b) -6\/11  (c) -0.3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -f + 4*f = 6. Suppose -2 = t - 2*h, f*h - h + 6 = 4*t. Let v be t\/4*(3 - 9). Which is smaller: -1 or v?\nAnswer: v","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1021 = -13*m - 929. What is the closest to -0.1 in 3\/7, 4, 3, m?\nAnswer: 3\/7","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (u**0)**(-2\/95)\/(u**(3\/5)\/u**(-5)) assuming u is positive.\nAnswer: u**(-28\/5)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let v = -1078\/13 - -208197\/2509. Let t = -17363430319\/2702 - -6426146. Let y = v - t. Find the common denominator of y and -34\/9.\nAnswer: 126","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -7466, -7301, -7026, -6635, -6122?\nAnswer: -5481","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 51 = 12*g + 5*g. Let w(f) = f - 5. What is w(g)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put -3, 0, -6, 11 in decreasing order.\nAnswer: 11, 0, -3, -6","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the difference between 0.08 and -160315?\nAnswer: 160315.08","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is -29b22 (base 15) in base 10?\nAnswer: -134132","meta":{"dup_signals":{},"source":"numbers__base_conversion_test"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 515061 is divided by 18344.\nAnswer: 1429","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -43338*f**4 - 22340*f wrt f.\nAnswer: -520056*f**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: What is the second derivative of -6937334*l**2 + 47181029*l wrt l?\nAnswer: -13874668","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1 - 13 = -3*p. Is -2 at most as big as p?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*u + 6 = 0, 10*u = -5*w + 9*u + 663. Let f be 2\/12 - (-332)\/24. Let x = w - f. What are the prime factors of x?\nAnswer: 7, 17","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 1614?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = 521 - -323. Is c\/6 + (-7)\/(-21) prime?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 20 is divided by ((-2)\/8 - -1)*12.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w be ((39\/(-18))\/13)\/((-1)\/6). Which is greater: 1\/2 or w?\nAnswer: w","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-1)\/(5\/(-40))*2\/4?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 204 is divided by 38.\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1 + 2. Suppose -3*v - 4*v + 7 = 0. Let p(j) = -j - 1. Let s(i) = 3*i**3 + 0*i**3 + 1 - 4*i**3. Determine h*p(m) + v*s(m).\nAnswer: -m**3 - m","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of sequence eis when three letters picked without replacement from seeeeeeieiesseseees.\nAnswer: 20\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Is 380739383 composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {t: 10, c: 10}. Give prob of picking 4 c.\nAnswer: 14\/323","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*k - 3 = -2*s + 6, -s + 2 = 0. Let d(t) = t - 2. Let z(u) = -1 + 7 - 5. Determine k*d(f) - 2*z(f).\nAnswer: -f","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: (32\/(-130))\/((-732)\/(-915))\nAnswer: -4\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the millions digit of 4691723943?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {x: 8, m: 5, f: 3}. What is prob of picking 1 f and 3 x?\nAnswer: 6\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let y(r) = -20*r + 191. Determine y(10).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 1 z, 1 l, and 1 j when three letters picked without replacement from lbzjr?\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: In base 8, what is 5 - 4572?\nAnswer: -4565","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 6?  (a) -3\/7  (b) -12  (c) 0.2  (d) -2\/17\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (3 + ((sqrt(16) - (sqrt(16) - sqrt(144))*4)*5)\/(4*sqrt(648)*-6))*5.\nAnswer: -25*sqrt(2)\/24 + 15","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*s + 2*s + 5 = 0, 4*s + 78 = w. Let m = -22 + 36. What is the greatest common factor of w and m?\nAnswer: 14","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*r - 3*c + 654 = 0, 5*c = 52*r - 53*r - 198. Sort r, 0, -0.03, -4 in decreasing order.\nAnswer: 0, -0.03, -4, r","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Factor -25*q**2 - 10040*q - 6015.\nAnswer: -5*(q + 401)*(5*q + 3)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Express 259 - 3*y - 25*y + 27*y - 45*y**2 in the form a*y**2 + k*y + s and give s.\nAnswer: 259","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let c(q) = -q**2 + 17*q - 38. Calculate c(10).\nAnswer: 32","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (1\/(-13 + (2 - -10)))\/((-15)\/(-9)).\nAnswer: -3\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -103199 + -41201. What is u rounded to the nearest 10000?\nAnswer: -140000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -54 + 63. Calculate the remainder when w is divided by 4.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let y(v) = -2*v**3 - 3*v**2 + 4*v - 6. What is y(-3)?\nAnswer: 9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 12552 + -12552.0000018103. Round v to 7 decimal places.\nAnswer: -0.0000018","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 1202 is divided by 23.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second smallest value?  (a) -1\/2  (b) 1  (c) 122  (d) -0.2\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*b = -2*v - 150 + 154, 8 = 4*v - 5*b for v.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0 - -2. Let c be a\/(-6) - (-20)\/15. Solve c + 0 = f for f.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the fifth biggest value?  (a) 894.88  (b) 0.2  (c) -0.4  (d) 5  (e) -0.05\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.092 times 0.272091?\nAnswer: -0.025032372","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let q(j) = -j**3 + 2*j**2 + 2*j - 41. What is q(0)?\nAnswer: -41","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -s = -t + 3, -23*s + 18*s = -2*t + 33. Sort 4, 179, t in decreasing order.\nAnswer: 179, 4, t","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let r be 0\/((2 - 1) + -3). Suppose 5*z - 2*z - 60 = r. Let l(g) = g - 6. Let h be l(9). Solve h*u + z = 8*u for u.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Express -q - 33 - q - 26 - 100 as s + a*q and give a.\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 3978916 is divided by 306?\nAnswer: 304","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v be (-7)\/(21\/6) + 0. Sort -7, v, 0.3.\nAnswer: -7, v, 0.3","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -25 + 25. Suppose -5*d - 139 = -2*h + 52, u = 3*h - 3*d - 273. List the prime factors of h.\nAnswer: 2, 11","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.3 in -4, 5, -0.2?\nAnswer: -0.2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-2 - -3 - (-4 - -26 - 12)) + 2.\nAnswer: -7","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 5643?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is 20261 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: In base 16, what is -6 - 17?\nAnswer: -1d","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 5 + 5260?\nAnswer: 5265","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 4 + -4. Let t be (1 + 0)\/(1 + h). Let v(n) = n + 17. Let b be v(-9). What is the highest common divisor of t and b?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the third derivative of 931*k**3 + 11*k**2 + 2*k - 1037 wrt k.\nAnswer: 5586","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*n + 208 + 668. Is 12 a factor of (-1)\/(n\/(-144) + 2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 10, 27, 44, 61?\nAnswer: 78","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 2*j. Let g be v(1). Let y = -1.5 + -0.2. Let u = y - -1.6. Which is the closest to 1\/2?  (a) u  (b) -5  (c) g\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 0 + 2. Suppose -k*u = u - 6. Solve -o = u*o for o.\nAnswer: 0","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 3. Suppose -4*w + 30 = 5*h, -2*h - 6 = -7*w + 5*w. Let r(d) = -d - 1. Calculate h*z(v) + 4*r(v).\nAnswer: -4*v + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Solve -9*f + 8751 = 8904 for f.\nAnswer: -17","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 2 l and 1 c when three letters picked without replacement from {v: 9, l: 2, c: 6}.\nAnswer: 3\/340","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is 738165.3 days in microseconds?\nAnswer: 63777481920000000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the second smallest value in -4, 72, -0.5?\nAnswer: -0.5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Express (x + 0 + 0)*(-3*x + 2*x + 2*x) + 6*x**2 - 2 + 2 + (2 - x - 2)*(-1 + 1 - 2*x) + 27*x**2 + x**2 - x**2 in the form y*x**2 + v + h*x and give y.\nAnswer: 36","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -1.47174 and 0.1.\nAnswer: -0.147174","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 5*k - 3*d - 45 = 0, -2*k - 2*d + 17 = -3*d. Suppose -3*q = -5*q + 32. Calculate the remainder when q is divided by k.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 4*p - 3 = 7*p. What is the tens digit of (4\/p - -45) + -2?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 629837 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 7:35 AM and 9:17 AM?\nAnswer: 102","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 325851 to the nearest integer?\nAnswer: 69","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 10 + 3. Suppose 52 + 68 = 24*k. Differentiate -4*u**3 - u**3 + z*u + k - 13*u wrt u.\nAnswer: -15*u**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 573 minutes before 1:21 PM?\nAnswer: 3:48 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 0.065 + 82.935. Let u = -83.00000307 + i. Round u to 6 dps.\nAnswer: -0.000003","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is smaller: -156600557\/4 or -39150139?\nAnswer: -156600557\/4","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((b*b*b*b**5*b*b*b)\/b)**(-5\/11)\/((b*b\/(b**(-9)\/b)*b*b)\/(b**(1\/3)\/b)) assuming b is positive.\nAnswer: b**(-634\/33)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -0.1 + -2. Let b = z - -0.1. Suppose -2*m = 5*c + 10 - 1, -4*c - 12 = 0. What is the second smallest value in b, 0, m?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: 3.76186*0.3\nAnswer: 1.128558","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let h(i) be the second derivative of 5*i**7\/42 + 7*i**6\/30 - 9*i**5\/10 - 7*i**4\/3 - 4*i**3\/3 + 4*i. Suppose h(v) = 0. Calculate v.\nAnswer: -2, -1, -2\/5, 0, 2","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 14 a factor of 983393?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -0.2 + 0.3. Let p be 341\/186*270\/1980. What is the biggest value in u, p, -53, 5?\nAnswer: 5","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 17*v + 3891 - 26535 = 0. What is the thousands digit of v?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third biggest value in 3, -116, -0.5, 93, -0.4, 33\/4?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Determine y so that 3*y**2\/4 + 13023*y + 56532843 = 0.\nAnswer: -8682","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate (145\/116)\/(230\/16).\nAnswer: 2\/23","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is 588 minutes before 4:20 PM?\nAnswer: 6:32 AM","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-26)\/8 + ((-4255)\/148 - -4)?\nAnswer: -28","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -2766 + 1266. Let b = r - -16530\/11. What is the common denominator of (-155)\/21 - (-8)\/(-28) and b?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.1 times 4.14?\nAnswer: -0.414","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*p = -f + 19, 4*f + 3*p - 55 = -9. Let u be (12\/(-15))\/(2\/(-10)). Suppose u*a + a - 130 = 0. Calculate the greatest common divisor of a and f.\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 7, what is 3234 - -14?\nAnswer: 3251","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Does -935\/8 = -116?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the cth term of -5, -10, -27, -62, -121, -210?\n\"Answer: -c**3 + 2*c - 6","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = y. Let m(f) = f**2 + 7*f + 7. Let u(o) = -k(o) - m(o). Calculate u(-7).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -0.2?  (a) -0.2  (b) -4  (c) 1\/27  (d) -3\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Product of -114.467 and 0.\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (4*(sqrt(448) + 2))**2 + -2.\nAnswer: 512*sqrt(7) + 7230","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*o - 10*o - 187 = 5*o for o.\nAnswer: -11","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0048697 rounded to 5 decimal places?\nAnswer: -0.00487","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (342\/(-54))\/(10\/15*(-2)\/4).\nAnswer: 19","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: In base 2, what is -10 - -10110100100011011110101100?\nAnswer: 10110100100011011110101010","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: -1515, -6733, -15429, -27603, -43255, -62385?\nAnswer: -84993","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: How many grams are there in 9544.9 micrograms?\nAnswer: 0.0095449","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 63668 to the power of 1\/8, to the nearest integer?\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 9943?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 5038 - 11660. Let l = 10209 - 20624. Let i = p - l. Is i composite?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 7757.\nAnswer: 7757","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 9*a**3*o**3 + 6*a**3 - 2*a**2*o**3*q - a - o**3*q - 19*q wrt a.\nAnswer: 54*a*o**3 + 36*a - 4*o**3*q","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 34 - 31. Suppose -m*k + 19 = -2. Let d(x) = x**3 - 6*x**2 - 7*x + 3. Calculate d(k).\nAnswer: 3","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -17*y**3 + 44*y**3 - 22*y**3.\nAnswer: 5*y**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let u(y) = -5*y**2. Let v(o) = 39*o - 148*o - 10 - 26*o + 10. Determine v(u(i)).\nAnswer: 675*i**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: What is 47\/7 - (-1 + (104\/26 - -1))?\nAnswer: 19\/7","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: 73 divided by -123888\nAnswer: -73\/123888","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 4241798?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c be (-1)\/((-11)\/(-121)) + 15. Sort 4\/3, -2\/7, c, 0.3 in decreasing order.\nAnswer: c, 4\/3, 0.3, -2\/7","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let w = -0.7 + -0.1. Let b(g) = 5*g**3 + 37*g**2 - 219*g + 679. Let a be b(-12). Sort 0.4, a, w, 4 in decreasing order.\nAnswer: 4, 0.4, w, a","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 113 is divided by 23?\nAnswer: 21","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let v = 9 - 9. Let f = -2 - v. Which is the smallest value?  (a) f  (b) 3  (c) -1\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 1685940?\nAnswer: 2, 3, 5, 28099","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Let w be (-520)\/(-36) - 14 - 6\/(-81)*-60. Let j = -2.4 + 0.4. Which is the closest to j?  (a) -1  (b) 2\/15  (c) w\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o(g) = 3*g. Let j(w) = w**2 - 1. Let r(h) be the second derivative of h**4\/4 - h**2 - 8*h. Let z(q) = 2*j(q) - r(q). What is o(z(s))?\nAnswer: -3*s**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to 0?  (a) 5  (b) -0.01  (c) -39\/23\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the fth term of -5592, -5553, -5452, -5259, -4944, -4477?\n\"Answer: 5*f**3 + f**2 + f - 5599","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2?  (a) 2  (b) -77  (c) 4\/7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let t(c) = -c**3 + 53*c**2 - 246*c - 9. What is the units digit of t(42)?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of 440995087*s**3 + 320337321*s wrt s.\nAnswer: 2645970522*s","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Divide 302094 by 6.\nAnswer: 50349","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 240*z = 241*z + 3. What is the remainder when 156 is divided by 11\/z + 28\/42 - -44?\nAnswer: 33","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 92179 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the common denominator of -91\/3316 and -49\/172432?\nAnswer: 172432","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let f(u) be the first derivative of 16*u**3\/3 + 94. Suppose 0 = -0*s - 2*s + 14. Let g(w) = -s + 13 - 2*w - 6. Give f(g(k)).\nAnswer: 64*k**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i(n) = -44*n + 15. Let d be i(-3). Suppose 153*j = d*j - 10320. Round j to the nearest 100.\nAnswer: -1700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z(y) = 9*y**2 + 376*y + 73. Let a(x) = -15. What is -5*a(t) - z(t)?\nAnswer: -9*t**2 - 376*t + 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let p = 2.08 + -2. Let f = -12.42 + 13. Let d = f - p. Which is the third smallest value?  (a) d  (b) 3\/4  (c) -1\/6\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let l be (-6)\/33 + (-1293)\/(-33). What is the greatest common divisor of 65 and l?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let d be 2\/(-3) - 11\/(-3). Let o(r) = 4 + 1 - 4 - 2*r - d*r**2. Suppose a - 2*a + 4*n = -2, -3*a - 8 = 2*n. Determine o(a).\nAnswer: -7","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -4 = 3*s - 7. Is 10 a factor of 5\/((-10)\/(-48)) + s?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = 0.38 - 0.5. Let i = -8.12 + 7.8. Let w = a - i. What is the smallest value in -0.02, w, -0.4?\nAnswer: -0.4","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate -5 + -2 - -7 - -4.\nAnswer: 4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let c be 0\/(-1) + 1 + -3. Let r be ((-14)\/c)\/(0 - -1). Let m = 170 + -165. Solve -r*v + m = -2*v for v.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-5*z + 3*z + z)*(-1 - 1 + 7)*(-3 - z + 3).\nAnswer: 5*z**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -18\/5*f**2 - 16\/5 + 76\/5*f = 0. Calculate f.\nAnswer: 2\/9, 4","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: -25863 (base 10) to base 11\nAnswer: -18482","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of sequence gy when two letters picked without replacement from hychghjhhhjcyhghjhh?\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: How many nanoseconds are there in 45\/4 of a microsecond?\nAnswer: 11250","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 1020 = 6*q + 186. Suppose -132*j + q*j = 1015. Is j a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(t) be the first derivative of -t**5\/55 + t**4\/11 + 2*t**3\/11 - 2*t**2\/11 - 5*t\/11 + 305. Find d, given that k(d) = 0.\nAnswer: -1, 1, 5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the ten millions digit of 3728614183?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Multiply -13730360 and -4.\nAnswer: 54921440","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: What is t in -t**2 - 4*t + 21 = 0?\nAnswer: -7, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -0.92 + -0.08. Let p = 0.5 + s. Which is greater: p or -1\/3?\nAnswer: -1\/3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -493*m + 4805*m + 3*m**2 - 70*m - 4*m**2.\nAnswer: -m**2 + 4242*m","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Let y(w) = 175*w**3 + 73*w - 6. Let a = 114 + -120. Let z(p) = 176*p**3 + 76*p - 7. Let b(i) = a*z(i) + 7*y(i). Find the second derivative of b(d) wrt d.\nAnswer: 1014*d","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Put 2\/7, -0.5, -3, 6, 39, -4 in descending order.\nAnswer: 39, 6, 2\/7, -0.5, -3, -4","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -102?  (a) 0.5  (b) 11  (c) -2\/19\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 4:14 AM and 6:04 AM?\nAnswer: 110","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -548 - -9737\/18. What is the common denominator of (25 - 21) + (9\/(-8) - 2) and b?\nAnswer: 72","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is -48.6 at most as big as 20?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 49 + -47. Solve -l*f - g - 5 = 0, 6*f + 16 = 2*f - 4*g for f.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {f: 1, u: 8, k: 4}. What is prob of sequence uk?\nAnswer: 8\/39","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -184, -315, -526, -811, -1164, -1579?\n\"Answer: z**3 - 46*z**2 - 139","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the ath term of 7, 48, 89, 130, 171?\n\"Answer: 41*a - 34","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Calculate (-280)\/84*(108\/8)\/9.\nAnswer: -5","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -72 - (2 - 4)*(-52 - -54)*10\/(-8).\nAnswer: -77","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Round -10225149.8 to the nearest one hundred thousand.\nAnswer: -10200000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Expand -88*x + 15*x**3 + 88*x + (-4180*x - 3628*x + 7278*x)*(-x**2 + x**2 - x**2)*(-2 + 3 + 0).\nAnswer: 545*x**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let r = -65.68 - -64. Let b = r + 1.5. Let m = -0.32 + b. What is the third biggest value in -0.3, m, 0.1?\nAnswer: m","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 11810932 + n - 11810932.\nAnswer: n","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Sort 1, -73, -5.\nAnswer: -73, -5, 1","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Is 1720490497 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the hundreds digit of 991?\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -86.04 - -86.040007597. Round y to 6 dps.\nAnswer: 0.000008","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 15149 prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) 0.6  (b) -5  (c) 5  (d) 318\nAnswer: d","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -121.1 - -121. Is -2.4 less than s?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x = 9 - 32. Let q = -13 - x. What is the remainder when 29 is divided by (-4)\/q - 82\/(-5)?\nAnswer: 13","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve 5*j**4 + 33925*j**3 + 56671590*j**2 - 2971233220*j + 13435132600 = 0 for j.\nAnswer: -3418, 5, 46","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 9*a = -17 + 26. Put -5, 48, a in ascending order.\nAnswer: -5, a, 48","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 370658\/533 greater than or equal to 696?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Solve -2*p + 8 = 0, 15*p - 11*p - 23 = -k for k.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 0.5777004 litres?\nAnswer: 577.7004","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let w(c) = 18*c. Let k(a) = 12*a. Let o(x) = 7*k(x) - 5*w(x). Suppose 3*z = 17*z - 18 - 94. Determine o(z).\nAnswer: -48","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Determine x so that -2*x**3 - 1166*x**2 + 1168*x = 0.\nAnswer: -584, 0, 1","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Let z(j) = 11*j**2 + 2. Let w(b) = -56*b**2 - 10. Determine -2*w(t) - 11*z(t).\nAnswer: -9*t**2 - 2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Put 100, -17, -5 in decreasing order.\nAnswer: 100, -5, -17","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0001683 rounded to five decimal places?\nAnswer: -0.00017","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common factor of 16672 and 32.\nAnswer: 32","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Express (-25 + 19 - 26)*(-136*q + 75*q - 72*q) as i*q + n and give i.\nAnswer: 4256","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Let h be 3*10\/(-12)*(3 + -5). Let d(y) = y**2 - 3*y - 4. Let m be d(3). Put h, 1, m in ascending order.\nAnswer: m, 1, h","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*t**5\/7 - 30*t**4\/7 + 138*t**3\/7 - 194*t**2\/7 + 12*t = 0. What is t?\nAnswer: 0, 1, 6, 7","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*z - 4*z + 7*z)*(-z**2 + z**2 + z**2) - z**3 + z**3 - 2*z**3 + 2 + 0*z**3 - z**3 + 4*z**3.\nAnswer: 10*z**3 + 2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 60\/(-32)*234\/455*40\/(-180).\nAnswer: 3\/14","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -3993, -8083, -12073, -15963, -19753?\nAnswer: -23443","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = 139.89 + -139. Let c = 3.11 - 3. Let r = y + c. Which is smaller: r or -0.3?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h = -1406.5 + 1407. Let u = 4 + -3.9. Let x = -0.04 + -3.96. Which is the nearest to 2?  (a) u  (b) h  (c) x\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((s\/((s*s**(-1))\/s))**(-41))**(-17\/3)\/(s\/((s**6*s)\/s*s)*s\/s**(-7)*(s**(2\/3)\/s)**(3\/5)) assuming s is positive.\nAnswer: s**(6943\/15)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 25165943 is divided by 3595128.\nAnswer: 47","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: -a (base 13) to base 3\nAnswer: -101","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (n**(-5)*n)**(26\/7)*n*n**1*((n**15\/n)\/n)\/n assuming n is positive.\nAnswer: n**(-6\/7)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Let m = 297924 + -297896. What is the smallest common multiple of 3\/(1\/(24\/2)) and m?\nAnswer: 252","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 15*a - 12 - 3. Let r be -19 + 23 + a\/((-2)\/174). Is -84 at least r?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many millilitres are there in 45\/8 of a litre?\nAnswer: 5625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Find the second derivative of -288*j**4 + 4*j - 6 wrt j.\nAnswer: -3456*j**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = n - 16 - 2. Calculate the remainder when 214 is divided by n.\nAnswer: 16","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -1a (base 15) in base 8?\nAnswer: -31","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -2*r**2 + 11551*r + r**2 - 11551*r.\nAnswer: -r**2","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: What is 35.15962 litres in millilitres?\nAnswer: 35159.62","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(q) = -5464*q**2 + 2*q + 16. Suppose 2*j + j - z - 14 = 0, -4*j + 10 = 3*z. Let i be k(j). What is i rounded to the nearest 10000?\nAnswer: -90000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 13192039 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is nine tenths of a kilogram in grams?\nAnswer: 900","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*v - r - 22 = 0, 2*v + 0 = -2*r - 12. Let s(k) = -k**2 - 10*k - 11. Let y be s(v). Let p = y - 3. Let c(l) = l**2 - 2*l. Determine c(p).\nAnswer: 0","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 5\/8 of a millennium?\nAnswer: 625","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 201 - -11415?\nAnswer: 12020","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 29335?\nAnswer: 5, 5867","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: What is the smallest value in -1\/6, -639, 1, 3\/8?\nAnswer: -639","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: What is the tens digit of 7476?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -3*c + d + 11 = 0, -163*c + 166*c - 4*d - 17 = 0. Suppose -28*z + 26*z - 2 = 0, -k - c*z = -1. Factor -38\/9*l - 14\/3*l**2 - 2\/9*l**k - 2*l**3 - 4\/3.\nAnswer: -2*(l + 1)**3*(l + 6)\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (0 - 1 - 1)*(243*f + 2272*f + 1985*f).\nAnswer: -9000*f","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Let v(t) = 1849*t + 13586. Let m be v(-7). Which is the biggest value?  (a) 4  (b) 1\/2  (c) m\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -5*i + 4*l + 14306 = -8546, 3*l + 18282 = 4*i. What is the hundreds digit of i?\nAnswer: 5","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k(s) be the third derivative of 0*s + 6*s**3 - 77*s**2 + 0 + 0*s**4 - 1\/15*s**5. Find l, given that k(l) = 0.\nAnswer: -3, 3","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m be 4\/28 - (-96)\/14. Suppose m*c + 8 = 3*c. What is the units digit of -14*c\/(-4)*-1?\nAnswer: 7","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(475) + 5 - sqrt(19) - sqrt(19)) + 2*sqrt(931).\nAnswer: 5 + 17*sqrt(19)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let o(b) = -b + 4. What is o(0)?\nAnswer: 4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let g(r) = -r**3 + 4*r**2 - 2. Let p be g(4). Let b be p\/(-6)*3\/(-3). Is b at most 1?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0*o = -2*o + 518. Is o composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -8 = 3*q - 7*q. Solve 12 = -q*z - z for z.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*g - 3*a = 15, 2191 - 2169 = -2*g - 4*a for g.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Calculate -3 - (6 - (8 - 3)).\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__add_sub_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Let v(n) be the first derivative of -5*n**2\/2 + 2*n - 221. Let t(i) = -3*i. Calculate t(v(x)).\nAnswer: 15*x - 6","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Let i = 16575 + -16421. What is the lowest common multiple of 112 and i?\nAnswer: 1232","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 10816.\nAnswer: 2, 13","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(40)\/sqrt(5) + 3*sqrt(128))**2 - 3*(-2*(0 + sqrt(242) - sqrt(242)))**2.\nAnswer: 1352","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let g = 29.9 - 30. Which is the smallest value?  (a) -0.3  (b) g  (c) -5\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 2 + -1. Let s be 2\/(1 + 5 + (-1)\/(4\/(-28))). Let g = 1.2 - 0.2. What is the nearest to q in s, g, 4?\nAnswer: g","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the qth term of 30, 43, 58, 75, 94, 115?\n\"Answer: q**2 + 10*q + 19","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 31*m = 29*m + 10. What is the remainder when m is divided by 4?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Convert 0.00799 millimeters to nanometers.\nAnswer: 7990","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 17971?\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 558 and 36.\nAnswer: 18","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: What is 2920 divided by -2?\nAnswer: -1460","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: 473 or 461?\nAnswer: 473","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is the third derivative of 7935*l**3*n**3 + l**2*n**3 + 90*l**2*n**2 + 2*n**3 + n**2 wrt l?\nAnswer: 47610*n**3","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of -73, -196, -317, -436?\n\"Answer: m**2 - 126*m + 52","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let q = 94 - 112. Let m be q*(-2 - (-4 + 11\/3)). Calculate the greatest common divisor of m and 3.\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (2*m - 3*m**2 - 15*m**2 + 8*m**2)*(-109 - 198 + 85).\nAnswer: 2220*m**2 - 444*m","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Is 43391 a prime number?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the lowest common multiple of 2617790 and 20?\nAnswer: 5235580","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -199 - -133. Which is smaller: y or 2?\nAnswer: y","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let x be ((-45)\/(-75))\/((-1)\/(-5)). Let d(g) be the third derivative of 0*g**x + 1\/150*g**5 + 9*g**2 + 0*g + 0*g**4 + 1\/1050*g**7 + 1\/200*g**6 + 0. Factor d(t).\nAnswer: t**2*(t + 1)*(t + 2)\/5","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 295558 to the nearest integer?\nAnswer: 67","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is the remainder when 87679 is divided by 4865?\nAnswer: 109","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8370204 and 162.\nAnswer: 6","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 n, 1 t, and 2 g when four letters picked without replacement from ddddnddndggdndddgndt.\nAnswer: 4\/1615","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the third root of 370626527 to the nearest integer?\nAnswer: 718","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (b\/b**(4\/7))**(25\/4)*b*b**14*b*b*b*b**(-3)\/b assuming b is positive.\nAnswer: b**(467\/28)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Find the first derivative of 155240*q**3 + 1152438.\nAnswer: 465720*q**2","meta":{"dup_signals":{},"source":"calculus__differentiate_train"},"subset":"dm_maths"}
{"text":"Question: Let h(k) be the second derivative of -k**5\/50 + 4*k**4\/5 - 25*k. Suppose h(o) = 0. Calculate o.\nAnswer: 0, 24","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Sort -2, -5, 3, 4 in descending order.\nAnswer: 4, 3, -2, -5","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (-2002)\/336 + 6 - (-1)\/(-24)?\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let d = -8742 - -8742. Is 7\/831 != d?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 57\/5 of a millennium?\nAnswer: 11400","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: How many years are there in 3\/25 of a century?\nAnswer: 12","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 705.\nAnswer: 3, 5, 47","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(33) + (-4*sqrt(297) - sqrt(297))\/sqrt(9) + sqrt(33))\/(sqrt(11) + sqrt(77)\/(sqrt(7) + sqrt(252) - sqrt(7))) + 3.\nAnswer: -18*sqrt(3)\/7 + 3","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the jth term of -117, -233, -345, -453, -557?\n\"Answer: 2*j**2 - 122*j + 3","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Is 1000263 a multiple of 132?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 7*p - 0 - 42. Let n be (-26)\/p - (-3 - 1). What is the nearest to n in -1, -0.3, -6?\nAnswer: -0.3","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 18\/72*((-42)\/15 + 2).\nAnswer: -1\/5","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let m(h) = 2*h - 4. Let i be m(3). Let c(y) = 4 - y**2 - y - i - 2. Let s be (-16)\/7 + (-10)\/(-35). What is c(s)?\nAnswer: -2","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let p(h) be the first derivative of 24*h**2 + 7*h + 12. Differentiate p(c) with respect to c.\nAnswer: 48","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let c(f) = -f - 5. Let u be c(-3). Let k be 0 - 164\/(-6 - u). What is the highest common divisor of 41 and k?\nAnswer: 41","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let o = 1023 - 1023. Let w be 14*(15\/6 - 3). Sort o, -2, 5, w in descending order.\nAnswer: 5, o, -2, w","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round -0.000000759 to 7 dps.\nAnswer: -0.0000008","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let p(s) = 74*s**2 - 3*s + 24. Let q be p(6). What is q rounded to the nearest 100?\nAnswer: 2700","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -743.02 + 735. Let h = b - -6.786. Let u = h - -1.2. Round u to two decimal places.\nAnswer: -0.03","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 54 divide 2970\/11 - 0\/(-2)?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand -4*i + 4*i + i**3 + (-4*i**3 + 4*i**3 + 2*i**3)*(1 + 2 - 1) + ((-2 + 2 + i)*(2*i + 9 - 9) - 4*i**2 - 7*i**2 + 3*i**2)*(-i + 0*i - i).\nAnswer: 17*i**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: What is the thousands digit of 2588702884?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let o(t) = -320*t**2 + 4*t + 8. Let g(f) = 180159*f**2 - 2254*f - 4508. What is -2*g(x) - 1127*o(x)?\nAnswer: 322*x**2","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let k = 1345546\/1221 - 1102. Which is smaller: k or 0?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -82 = -4*s + 2*w, 3*s + 2*s - 98 = -2*w. What is the units digit of s?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 v and 1 r when two letters picked without replacement from dvyryvdedrvoedyr.\nAnswer: 3\/40","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 60652 and 8.\nAnswer: 4","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let g be ((-3456)\/(-10))\/((-2)\/78125). What is g rounded to the nearest one million?\nAnswer: -14000000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f(v) = -33*v + 2481. Give f(78).\nAnswer: -93","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: Let n(t) = -t**3 - 5*t**2 - 2*t - 1. Let p be n(-5). Suppose -m + 492 = 5*o, 2*o - 2*m - 157 - 47 = 0. Calculate the highest common factor of o and p.\nAnswer: 9","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let a = -3917\/126 + 232\/7. Calculate the common denominator of a and -85\/22.\nAnswer: 198","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 51967 composite?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -0.1 in -0.2, -1\/11, 1.3, 2\/15?\nAnswer: -1\/11","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Subtract -0.13 from 95.3.\nAnswer: 95.43","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: What is prob of picking 2 z when two letters picked without replacement from rtzzzrrzzr?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let g be (-4)\/(-9) + 4\/(-12). Let r = -5 + 5. Which is smaller: r or g?\nAnswer: r","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let s(l) be the third derivative of -l**5\/60 - 5*l**4\/4 - 23*l**3\/3 + 52*l**2. Let b be s(-28). Solve -c + 3*c = -b for c.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (sqrt(432) + (sqrt(432)*1*-6)**2)*-5.\nAnswer: -77760 - 60*sqrt(3)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is -3 + 325?\nAnswer: 322","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Sort 8, -0.41, 1, -2\/9 in descending order.\nAnswer: 8, 1, -2\/9, -0.41","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Suppose p + 4*t - 24 = 0, -p + 5*p = -4*t + 60. Suppose p - 112 = 10*h. Let q be h\/(-35) + (-19)\/(-7) + -2. Which is greater: q or 4.8?\nAnswer: 4.8","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-50 + 22 - 32)*(-4 + 4 + 4*w - 1)*(w**2 + 3*w**2 - 3*w**2).\nAnswer: -240*w**3 + 60*w**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Solve 0 = 2*w - 4*n + 26, 2*w + n = -3*w - 21 for w.\nAnswer: -5","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z(q) = 155*q + 940. What is z(-7)?\nAnswer: -145","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to 10 in -8, 2\/9, -2?\nAnswer: 2\/9","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Let w = 23687 - 23684. Let 0 - 96\/7*k**2 + 24\/7*k - 54\/7*k**w = 0. What is k?\nAnswer: -2, 0, 2\/9","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_composed_train"},"subset":"dm_maths"}
{"text":"Question: Evaluate 1432\/102 - 1244\/31722.\nAnswer: 14","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Let t = 3 + -7. Let w = 12 + t. Let v = -19\/30 + 2\/15. Is w >= v?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {i: 1, g: 2, p: 6, l: 2}. What is prob of picking 1 p and 1 i?\nAnswer: 6\/55","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the least common multiple of (-2)\/6 + -20*(-20)\/48 and 1.\nAnswer: 8","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 650 and 200.\nAnswer: 50","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Solve 128*w = 150*w - 154 for w.\nAnswer: 7","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: Let b = 252.9379118478 + 0.0622171522. Let l = 253 - b. Round l to 5 decimal places.\nAnswer: -0.00013","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 2443794 to the power of 1\/3, to the nearest integer?\nAnswer: 135","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Let y(o) = -o**3 + 2*o**2 + 2*o + 1. Let m be y(-1). Let p be -2 + 313 + 0\/m. Let d = 144 - p. Round d to the nearest ten.\nAnswer: -170","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 16 a factor of -7 - -3*13023\/27?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of 3 + (-5)\/(10\/8) - 3?\nAnswer: -4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = 3*h - 6 - 6. Suppose -h*u = u - 25. Sort u, 1, -4 in descending order.\nAnswer: u, 1, -4","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -44\/897 and 53\/144615.\nAnswer: 43239885","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 2 divided by 624892.\nAnswer: 1\/312446","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: What is -0.0000264647 rounded to six dps?\nAnswer: -0.000026","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Let k(j) = -4*j - 40. Let a(y) = 1541*y. Determine a(k(d)).\nAnswer: -6164*d - 61640","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -6*o**3 + 1451*o + 1465*o - 2916*o.\nAnswer: -6*o**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:32 PM and 11:00 PM?\nAnswer: 148","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Let y(d) = 2*d + 2. Let o be y(-2). Let r be o\/5 + (-204)\/(-10). Let m = r + -12. Calculate the remainder when m is divided by 3.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the first derivative of 18*o**3 - 216 + 191 + 59*o**3 wrt o?\nAnswer: 231*o**2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 1257 divide 2465801?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Factor 2*z**2 - 5977102*z + 11954196.\nAnswer: 2*(z - 2988549)*(z - 2)","meta":{"dup_signals":{},"source":"algebra__polynomial_roots_train"},"subset":"dm_maths"}
{"text":"Question: What is 8\/3 of a minute in seconds?\nAnswer: 160","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is the sixth root of 17865 to the nearest integer?\nAnswer: 5","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 6\/(2\/1)*44\/(-440022)*-113.\nAnswer: 2\/59","meta":{"dup_signals":{},"source":"arithmetic__mul_div_multiple_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -d - 3*d + 48 = 0. Let l be 0*(-4 + 1)\/3. What is the smallest common multiple of (-100)\/(-6) - l - 18\/27 and d?\nAnswer: 48","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (6*h - h + 0*h)*(-4*h + h + 0*h)*((0 - 3 + 1)*(-3 + 3 - 2*h) + 2 - 2 + h + 4*h - 4*h + h).\nAnswer: -90*h**3","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: Work out 0.04 - 491238367840.\nAnswer: -491238367839.96","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (-3 + sqrt(77)\/(sqrt(448) - (sqrt(448) - 5*sqrt(448) - sqrt(448))))**2 + -4.\nAnswer: -sqrt(11)\/8 + 11531\/2304","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let i(w) = -w**3 - 4*w**2 - w - 2. Let y be i(-4). Sort y, 5, 6.\nAnswer: y, 5, 6","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let g(d) = d**3 + 2*d**2. Let k(u) = -4*u**3 - 7*u**2. What is -14*g(p) - 4*k(p)?\nAnswer: 2*p**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 2*z = -2*a + 1498, -4*a + 4*z = 380 - 3384. What are the prime factors of a?\nAnswer: 2, 3, 5","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of 46\/369 and (18\/9 - 406\/136)\/((-123)\/2).\nAnswer: 12546","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 294 divided by -14\nAnswer: -21","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Solve -182137*w + 182141*w - u = -25, -6*w - 3*u + 3 = 0 for w.\nAnswer: -4","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: In base 6, what is 1245 - -1?\nAnswer: 1250","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (l\/(l\/(l\/(l*l**(-13))))*l)\/(l**(2\/31)*l) assuming l is positive.\nAnswer: l**(401\/31)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((v**(1\/3))**(3\/31)\/(v*v**(-4)*v\/(v*((v\/(v**(-1\/2)\/v))\/v)\/v*v)))\/(v\/((v**3\/v)\/v)*v**(-6)\/v)**(10\/3) assuming v is positive.\nAnswer: v**(5183\/186)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Do -3 and -24 have the same value?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 e and 1 p when two letters picked without replacement from kokkokckkkookkooeep.\nAnswer: 2\/171","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: (-2)\/4*6 - (-306)\/72\nAnswer: 5\/4","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What are the prime factors of 710?\nAnswer: 2, 5, 71","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -2 = -7*r - 9. Which is the closest to r?  (a) -1\/6  (b) -3  (c) -1\/4\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 q, 2 l, and 1 f when four letters picked without replacement from {a: 6, l: 2, v: 3, f: 3, q: 1}.\nAnswer: 1\/455","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let s = -497 + -511. Let j = -1258.3 - s. Round j to the nearest ten.\nAnswer: -250","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 5:35 PM and 12:00 AM?\nAnswer: 385","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the remainder when 26 is divided by 5.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__div_remainder_train"},"subset":"dm_maths"}
{"text":"Question: Let r(a) = 22*a**2 + 1. Suppose 1 = -b + 2. Let j = 67508 - 67501. Calculate the remainder when r(b) is divided by j.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__div_remainder_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose a = -0 + 2. Let x(l) = -26*l + 26. Let y(z) = 5*z - 5. Let j(h) = a*x(h) + 11*y(h). What is the tens digit of j(9)?\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__place_value_composed_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the rth term of -6772, -6770, -6758, -6730, -6680?\n\"Answer: r**3 - r**2 - 2*r - 6770","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: -403967636 - -36671\nAnswer: -403930965","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Expand (y + 0*y - 3*y)*(-2 - y + 2) + 19*y**2 + 26*y**2 - 61*y**2.\nAnswer: -14*y**2","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the zth term of -1867, -1870, -1873, -1876, -1879?\n\"Answer: -3*z - 1864","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let g(a) = -1717 + 2*a + 2*a - 3*a + 1733. What is g(-11)?\nAnswer: 5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let v(j) = 58*j**2. Let s(p) be the third derivative of -p**6\/360 - 7*p**4\/8 - 3*p**2 - 6. Let g(f) be the second derivative of s(f). Give g(v(u)).\nAnswer: -116*u**2","meta":{"dup_signals":{},"source":"polynomials__compose_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 13 and 8504253.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: How many months are there in 25\/4 of a century?\nAnswer: 7500","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common divisor of 4264 and 3.\nAnswer: 1","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*p + 6 = 24. Let a(q) = q. Let w be a(p). Find the second derivative of 6 + o**2 - w + o wrt o.\nAnswer: 2","meta":{"dup_signals":{},"source":"calculus__differentiate_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let h be (-5259)\/26 + 7\/14. Let a = -149137\/728 - h. Let l = -27\/8 - a. Are l and 0.1 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 205\/((-4)\/(3\/3) - -5).\nAnswer: 5, 41","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the greatest common divisor of 8107645 and 6747.\nAnswer: 2249","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Let h = 3686 - 3685.96. What is the nearest to 5 in -4, h, 0, 1?\nAnswer: 1","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 56518227463 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let a(t) = 2*t**3 - 5*t**2 + 9*t - 15. Let g be a(5). Let m = g + -89. Does 11 divide m?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 92264313?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Let c = -15.5 + 15. Let q = 0.4 + c. What is the nearest to q in 0, -1, 4?\nAnswer: 0","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Round 6.680076 to two dps.\nAnswer: 6.68","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 0*l**3 + 22*l**3 - 6*l**3.\nAnswer: 16*l**3","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Which is the third smallest value?  (a) 9130  (b) 0.5  (c) 0\nAnswer: a","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = -3*a**2 + 364*a + 1495. Calculate m(-4).\nAnswer: -9","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 140 to the power of 1\/8, to the nearest integer?\nAnswer: 2","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: Calculate prob of picking 1 b and 1 l when two letters picked without replacement from {w: 1, r: 1, j: 2, l: 2, b: 2, n: 7}.\nAnswer: 4\/105","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Does 227 divide 88865?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Simplify -3*sqrt(700)*-4.\nAnswer: 120*sqrt(7)","meta":{"dup_signals":{},"source":"arithmetic__simplify_surd_train"},"subset":"dm_maths"}
{"text":"Question: Let b = -0.1044 + 0.1044427. What is b rounded to 5 decimal places?\nAnswer: 0.00004","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Find the common denominator of 55\/6 and -49\/7536.\nAnswer: 7536","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Suppose -u - 3*r = r - 14, 0 = 5*u - 2*r - 114. Let o be u\/(6\/(-6) - -3). Solve 2 = -9*y + o*y for y.\nAnswer: 1","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Expand (-1 - 4 + 2)*(m + 5*m - 5*m) + (5 - 2 - 1)*(-2*m + 7*m - 7*m + 2).\nAnswer: -7*m + 4","meta":{"dup_signals":{},"source":"polynomials__expand_train"},"subset":"dm_maths"}
{"text":"Question: In base 5, what is -4 + -32240304031?\nAnswer: -32240304040","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 12*m - 11*m - 3*v = -7, 2*m = -2*v + 18. Let l(k) = -6*k**2 + 6*k - 5. Let s(f) = 7*f**2 - 7*f + 6. Let g be 50\/8 - 1\/4. What is g*l(r) + m*s(r)?\nAnswer: -r**2 + r","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Are 3942265 and 3942266 equal?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 843, 841, 839, 837, 835?\nAnswer: 833","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in -968*o - 607*o - 617*o + 2170*o.\nAnswer: -22*o","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -0*m + m + 4, 0 = -2*n - 3*m. Let k = 3 + -4. Let g = 13 + k. Calculate the smallest common multiple of g and n.\nAnswer: 12","meta":{"dup_signals":{},"source":"numbers__lcm_composed_train"},"subset":"dm_maths"}
{"text":"Question: 1b1b (base 13) to base 7\nAnswer: 14616","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: What is 1125459 to the power of 1\/2, to the nearest integer?\nAnswer: 1061","meta":{"dup_signals":{},"source":"arithmetic__nearest_integer_root_train"},"subset":"dm_maths"}
{"text":"Question: What is ten thirds of a millennium in months?\nAnswer: 40000","meta":{"dup_signals":{},"source":"measurement__conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let k(y) = -6*y**3 - 451*y**2 - 69*y - 24. Determine k(-75).\nAnswer: -474","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: List the prime factors of 4\/18 + (-83676)\/(-108).\nAnswer: 5, 31","meta":{"dup_signals":{},"source":"numbers__list_prime_factors_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let m = -0.102 + 31.102. Let r = m - 31.4. Is r at most as big as 4\/5?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Simplify ((d*d**0)\/d)**(-3\/2)\/((d*d**(-2))\/(d*d**(3\/2)*d))*(((d**(1\/4)*d)\/d)\/d)**(19\/5)\/(d*d**(2\/7))**(-45) assuming d is positive.\nAnswer: d**(8331\/140)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: Which is the second biggest value?  (a) -5  (b) 5  (c) 0.3  (d) 0.2  (e) -0.2\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Rearrange -310 + 138 + 26*v**3 - 20*v**3 + 160 to the form j*v**2 + c*v**3 + m*v + q and give q.\nAnswer: -12","meta":{"dup_signals":{},"source":"polynomials__coefficient_named_train"},"subset":"dm_maths"}
{"text":"Question: Is 107441 a composite number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from {e: 8, z: 2, f: 3, i: 2}. Give prob of sequence fzi.\nAnswer: 2\/455","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: 1476064 divided by -6\nAnswer: -738032\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let t be 12\/(-5) - 4\/(-10). Let f(x) = -154*x + 2159. Let y be f(14). Sort -8, t, y, 0 in ascending order.\nAnswer: -8, t, 0, y","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (2\/(-7) - 0)\/((-56)\/(-196))?\nAnswer: -1","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Calculate 0.42*-0.5.\nAnswer: -0.21","meta":{"dup_signals":{},"source":"arithmetic__mul_train"},"subset":"dm_maths"}
{"text":"Question: Let x be (-9)\/(-6)*(-8)\/(-3). Let a(r) = -r**3 + 10*r**2 - 7*r - 13. Let w be a(9). Is w smaller than x?\nAnswer: False","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 20179 a prime number?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_prime_train"},"subset":"dm_maths"}
{"text":"Question: Let z(f) = 15*f - 3*f - 8*f + 3 - 5*f. Determine z(-3).\nAnswer: 6","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the units digit of 3796033?\nAnswer: 3","meta":{"dup_signals":{},"source":"numbers__place_value_train"},"subset":"dm_maths"}
{"text":"Question: Is (8\/(-12))\/((20\/(-203538))\/5) prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Solve -3*i - r = -3, 0 = -111*i + 116*i + 2*r - 4 for i.\nAnswer: 2","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 7.137 - 0.037. Let v = -4.1 + z. Which is the closest to 0.1?  (a) v  (b) -1\/7  (c) -6  (d) -1\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__closest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let k be -7 + ((-8)\/(-12) - 286\/(-48)). Suppose h - 4*h = -15. Which is the second smallest value?  (a) h  (b) 1\/7  (c) k\nAnswer: b","meta":{"dup_signals":{},"source":"comparison__kth_biggest_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let f = -5.5 + 33.5. Let m = 27.99999994 - f. What is m rounded to 7 decimal places?\nAnswer: -0.0000001","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Does 3 divide 58617?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: Let c(v) be the second derivative of -v**3\/6 + 2*v**2 + 15*v. Calculate c(9).\nAnswer: -5","meta":{"dup_signals":{},"source":"polynomials__evaluate_composed_train"},"subset":"dm_maths"}
{"text":"Question: What comes next: 862767, 1725464, 2588161, 3450858, 4313555?\nAnswer: 5176252","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*d - 17 = 2*j - j, -2*j + 2*d = 14. Let i = 13 - 9. Sort j, -4, i in ascending order.\nAnswer: -4, j, i","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: In base 3, what is 11202120 - -11022211210?\nAnswer: 11111121100","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 10 + 5?\nAnswer: 15","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the common denominator of -49\/1053 and 5\/351.\nAnswer: 1053","meta":{"dup_signals":{},"source":"numbers__lcm_train"},"subset":"dm_maths"}
{"text":"Question: Let l = 3 - 1. Suppose 0*u - 16 = -u. Calculate the greatest common factor of l and u.\nAnswer: 2","meta":{"dup_signals":{},"source":"numbers__gcd_composed_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {f: 4, d: 6}. What is prob of picking 3 f and 1 d?\nAnswer: 4\/35","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Solve 108*p = 235*p - 122*p - 3*n - 43, 4*n + 61 = 3*p for p.\nAnswer: -1","meta":{"dup_signals":{},"source":"algebra__linear_2d_train"},"subset":"dm_maths"}
{"text":"Question: Let u = -2220.4 - -2221. Put 1\/8, 4\/7, 0.3, 0.02, u in ascending order.\nAnswer: 0.02, 1\/8, 0.3, 4\/7, u","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is the value of (8\/(-130))\/(-1*2*(-12)\/180)?\nAnswer: -6\/13","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 4870, 19475, 43816, 77893, 121706, 175255, 238540?\nAnswer: 311561","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 3*l - n = 14, 3*l - 2*l = 3*n + 10. Suppose l*t + 0*r - 3*r = -53, 0 = t - r + 12. Let f = -20 - t. Put -5, f, 4 in decreasing order.\nAnswer: 4, f, -5","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is -6*32\/(-72)*(19\/(-2) - -5)?\nAnswer: -12","meta":{"dup_signals":{},"source":"arithmetic__mixed_train"},"subset":"dm_maths"}
{"text":"Question: Put 0.5, -0.25, 4, 1\/20 in descending order.\nAnswer: 4, 0.5, 1\/20, -0.25","meta":{"dup_signals":{},"source":"comparison__sort_train"},"subset":"dm_maths"}
{"text":"Question: Let z = 73 + -45. Suppose z = -16*c + 18*c. Let f(s) = s**2 - 3*s - 6. Let m be f(5). Solve 4*a + 2*i - 20 = m*i, 3*i = -5*a + c for a.\nAnswer: 4","meta":{"dup_signals":{},"source":"algebra__linear_2d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Let z = -27 - -50. Is z prime?\nAnswer: True","meta":{"dup_signals":{},"source":"numbers__is_prime_composed_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from {g: 5, h: 2, q: 5, k: 2, e: 1, l: 5}. What is prob of sequence el?\nAnswer: 1\/76","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let y(q) = 51*q**3 - 2358*q**2 + 552*q - 4. Calculate y(46).\nAnswer: -4","meta":{"dup_signals":{},"source":"polynomials__evaluate_train"},"subset":"dm_maths"}
{"text":"Question: What is 3351404 divided by -6?\nAnswer: -1675702\/3","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Calculate the highest common factor of 202 and 3758614.\nAnswer: 202","meta":{"dup_signals":{},"source":"numbers__gcd_train"},"subset":"dm_maths"}
{"text":"Question: Collect the terms in 713*y + 706*y + 707*y - 2154*y - 889*y**3 + 890*y**3.\nAnswer: y**3 - 28*y","meta":{"dup_signals":{},"source":"polynomials__collect_train"},"subset":"dm_maths"}
{"text":"Question: Two letters picked without replacement from qavxxvqvnaaqnvvv. Give prob of picking 1 v and 1 x.\nAnswer: 1\/10","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in 122969, 122754, 122397, 121898, 121257?\nAnswer: 120474","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: 694 (base 15) to base 8\nAnswer: 2721","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let g(h) be the third derivative of -h**4\/24 - 5*h**3\/3 - 3*h**2. Let v be g(-9). Let p be 4\/3*v\/(-6). Which is smaller: -1 or p?\nAnswer: -1","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Work out -1.88 - -13362.\nAnswer: 13360.12","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {m: 1, e: 2, v: 4, n: 2, f: 7}. Give prob of picking 1 f, 2 v, and 1 e.\nAnswer: 3\/65","meta":{"dup_signals":{},"source":"probability__swr_p_level_set_train"},"subset":"dm_maths"}
{"text":"Question: Let k(z) be the first derivative of -z**2\/2 - 5*z - 7. Let a be k(-5). Solve -2*w + 10 = -a for w.\nAnswer: 5","meta":{"dup_signals":{},"source":"algebra__linear_1d_composed_train"},"subset":"dm_maths"}
{"text":"Question: Which is the nearest to -2\/5?  (a) 0.3  (b) -5  (c) 2\/7  (d) 0.7\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: Four letters picked without replacement from {e: 2, m: 1, a: 1, g: 4, y: 2, z: 7}. What is prob of sequence yaez?\nAnswer: 1\/2040","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Round 10311.8 to the nearest one thousand.\nAnswer: 10000","meta":{"dup_signals":{},"source":"numbers__round_number_train"},"subset":"dm_maths"}
{"text":"Question: In base 11, what is 2 + -12901?\nAnswer: -128aa","meta":{"dup_signals":{},"source":"arithmetic__add_or_sub_in_base_train"},"subset":"dm_maths"}
{"text":"Question: Simplify (((q\/((q*q\/(q**(2\/3)\/q)*q)\/q))\/(q*q*q**(-13\/2)*q*q*q*q))**45)**(2\/49) assuming q is positive.\nAnswer: q**(-75\/49)","meta":{"dup_signals":{},"source":"polynomials__simplify_power_train"},"subset":"dm_maths"}
{"text":"Question: What is the nearest to -78 in -1\/2, -538.2, 0.5?\nAnswer: -1\/2","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: What is next in 88499, 92820, 97143, 101468, 105795?\nAnswer: 110124","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Is -6097 not equal to -6095?\nAnswer: True","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Which is bigger: -40 or -39?\nAnswer: -39","meta":{"dup_signals":{},"source":"comparison__pair_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from yykyykayykya. What is prob of sequence yya?\nAnswer: 7\/110","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}
{"text":"Question: Let a(u) = 43055*u**3 - 109*u + 218. Let j(l) = 1196*l**3 - 3*l + 6. What is 3*a(z) - 109*j(z)?\nAnswer: -1199*z**3","meta":{"dup_signals":{},"source":"polynomials__add_train"},"subset":"dm_maths"}
{"text":"Question: Let a(o) be the first derivative of -13 + 0*o**2 + 1\/3*o**3 - 11*o. What is the units digit of a(9)?\nAnswer: 0","meta":{"dup_signals":{},"source":"numbers__place_value_composed_test"},"subset":"dm_maths"}
{"text":"Question: Which is the closest to 0.6?  (a) 0.06  (b) -3  (c) 0.1\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__closest_train"},"subset":"dm_maths"}
{"text":"Question: b\"What is the mth term of 26, 132, 310, 560?\n\"Answer: 36*m**2 - 2*m - 8","meta":{"dup_signals":{},"source":"algebra__sequence_nth_term_train"},"subset":"dm_maths"}
{"text":"Question: Let y = -143.6 - -133. Let o = 12.846 - 0.246. Let l = y + o. Sort l, -1, 3\/5 in ascending order.\nAnswer: -1, 3\/5, l","meta":{"dup_signals":{},"source":"comparison__sort_composed_train"},"subset":"dm_maths"}
{"text":"Question: How many minutes are there between 8:22 AM and 8:36 AM?\nAnswer: 14","meta":{"dup_signals":{},"source":"measurement__time_train"},"subset":"dm_maths"}
{"text":"Question: What is 1267 divided by -430?\nAnswer: -1267\/430","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Let l = -172 - -173. Which is greater: l or 3?\nAnswer: 3","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: What is 1c566 (base 13) in base 6?\nAnswer: 1110330","meta":{"dup_signals":{},"source":"numbers__base_conversion_train"},"subset":"dm_maths"}
{"text":"Question: Let m(a) = 11*a**3 - 15*a**2 + 27*a - 2. Let d be m(2). Which is smaller: 0.2 or d?\nAnswer: 0.2","meta":{"dup_signals":{},"source":"comparison__pair_composed_train"},"subset":"dm_maths"}
{"text":"Question: Suppose 0 = -3*i - 7*i + 7*i. Suppose 9*v - 8*v + 20292 = i. Let j = v + 13292. Round j to the nearest 10000.\nAnswer: -10000","meta":{"dup_signals":{},"source":"numbers__round_number_composed_train"},"subset":"dm_maths"}
{"text":"Question: Is 2032856565 a multiple of 214?\nAnswer: False","meta":{"dup_signals":{},"source":"numbers__is_factor_train"},"subset":"dm_maths"}
{"text":"Question: What is the next term in -14, -13, -10, -5, 2, 11?\nAnswer: 22","meta":{"dup_signals":{},"source":"algebra__sequence_next_term_train"},"subset":"dm_maths"}
{"text":"Question: Which is the biggest value?  (a) -587571  (b) 3  (c) 116\nAnswer: c","meta":{"dup_signals":{},"source":"comparison__kth_biggest_train"},"subset":"dm_maths"}
{"text":"Question: Solve -91*n + 25*n + 46*n + 120 = 0 for n.\nAnswer: 6","meta":{"dup_signals":{},"source":"algebra__linear_1d_train"},"subset":"dm_maths"}
{"text":"Question: 0 divided by 20609\nAnswer: 0","meta":{"dup_signals":{},"source":"arithmetic__div_train"},"subset":"dm_maths"}
{"text":"Question: Three letters picked without replacement from sbbbbbbsbsbbbsbbbbb. Give prob of sequence bbs.\nAnswer: 140\/969","meta":{"dup_signals":{},"source":"probability__swr_p_sequence_train"},"subset":"dm_maths"}